18_appendix a to j.pdf

211

principle and its applicability to Deep-sea Mining",

HYDROTRANSPORT - 5, BHRA, Cranfield, UK, 1978, pp.F7-1 to

F7-26.

[137] Weber, M. "Vertical Hydraulic Conveying of Solids by Air-Lift",Journal of Pipelines, Vol.3, No.2, 1982, pp. 137-152.

[138] Weber,M. "Principles of Hydraulic and Pneumatic Conveying in

Pipes", The Best of Bulk Solids Handling, 1981-1985, vol. E/86,

Trans Tech Pubs, 1986, pp. 1-7.

[139] Welty, J.R., Wicks, C.E. and Wilson, R.E. “Fundamentals of

Momentum, Heat and Mass Transfer”, John Wiley & Sons, 1984.

[140] White,J.F.C. and Seal,M.E.J. "Sea sand Handling and Pumping at

Cockburn Cement", HYDROTRANSPORT 8, BHRA Cranfield, UK,

1982, pp.63-75.

[141] Wiedenroth,W. "An Experimental Study of Wear of Centrifugal

Pumps and Pipeline Components", Journal of Pipelines, vol. 4,

No. 3, 1984, pp.223-228.

[142] Xiao,Z.H. "Centrifugal Jet Pump - A Novel Type of Equipment for

Handling Coarse Solids." HYDROTRANSPORT 10, BHRA,

Cranfield, UK, Paper H2, 1984, pp 359 -374.

[143] Yano,H., Funaki,J., Shinoki,T., Keid,A. and Simotori,S.

"Performance of a New Type of Water Jet Pump." Trans. of the

ASME, Journal of Engineering for Industry, (May 1990), Vol. 112,

1990, pp 172-174.

[144] Zandi,I. and Govatos,G. "Jet pump in slurry transport",HYDROTRANSPORT - 1, BHRA, Cranfield, UK, 1970, paper L2-17to L2-32.

[145] Zandi,I., Allen,W.B., Morlok,E.K., Gimm,K., Plaut,T. andWarner,J. "Transport of Solid Commodities Via FreightPipelines", Report prepared for U.S. Department ofTransportation, 1976.

A P P E N D I X - A

212

IMPORTANT CONSTANTS FREQUENTLY USED

Gravitational Constant:

The value of ‘g’ at IIT Kharagpur, the place where the experimental

work was carried out, is calculated according to 1980 International

Gravity formula as given below:

g = 9.780327 (1 + 0.005279 sin2 ν + 0.000023 sin4 ν + ….)

(A.1)

where, ν is the latitude.

For IIT Kharagpur, the

Latitude is = 22.300 N

and Longitude = 87.200 E

Using equation (A.1) at sea level

g = 9.780327 (1 + 0.005279 sin2 ν + 0.000023 sin4 ν + ….)

= 9.780327 (1 + 0.005279(0.1439869) + 0.000023 (0.0207322))

= 9.780327*(1.0007606)

= 9.787766 m/s2 .

Again, Kharagpur is at a height of 47.6m above the sea level and taking

the radius of the earth, R = 6,373 km (approx.),

Therefore,2

0476.63736373787766.9g

or, g = 9.78762 m/s2

Density and Viscosity of water

Table A.1 Density and Viscosity of water at Standard Temperaturecompared with equations of form 1 & 2

213

TempTC0C

Densityρg Std.Kg/m3

Densityρg Calc.

Kg/m3

Viscosityν Std.

Kg/m.s.

Viscosityµ, Form-1Kg/m.s.

Viscosityµ, Form-2Kg/m.s.

10 1000 1001 0.001308 0.0012564 0.0013172

15 999 999 0.001140 0.0011286 0.0011512

20 998 997 0.001005 0.0010175 0.0010159

25 997 996 0.000894 0.0009206 0.0009040

30 996 994 0.000801 0.0008357 0.0008102

35 994 993 0.000723 0.0007609 0.0007308

40 992 991 0.000656 0.0006950 0.0006628

45 990 990 0.000599 0.0006365 0.0006041

50 988 988 0.000549 0.0005846 0.0005531

55 986 987 0.000506 0.0005383 0.0005084

60 983 985 0.000469 0.0004969 0.0004690

Fig. A.1 Temperature dependence of density and viscosity of water

A P P E N D I X - B

214

CALIBRATION OF INSTRUMENTS

Table B.1 Calibration of Lower range Rotameter (5-50 LPM)

Rotameterreading(LPM)

Measuredflow rate

(LPM)

Computedflow rate

(LPM)Error(%)

39.35 35.312 35.685 -0.484

42.00 38.620 38.332 0.751

46.35 42.526 42.678 -0.357

47.50 43.864 43.827 0.084

50.00 46.325 46.325 0.0004

Fig. B.1 Calibration of lower range rotameter

ERROR ANALYSIS: Average difference of error = 0.1092RMS deviation of error = 0.1656

Sample standard deviation = 0.1092

215

Table B.2 Calibration of Higher range Rotameter (10-100 LPM)

RotameterReading

(LPM)

Measuredflow rate

(LPM)

Computedflow rate

(LPM)

PercentError

(%)

39.65 36.778 36.331 1.231

42.00 38.836 38.719 0.301

47.30 43.676 44.106 -0.975

50.00 46.722 46.850 -0.273

53.15 49.862 50.052 -0.379

56.55 53.261 53.507 -0.460

60.00 56.860 57.013 -0.269

63.30 60.469 60.367 0.168

64.10 61.662 61.180 0.787

Fig. B.2 Calibration of higher range rotameter

ERROR ANALYSIS: Average difference of error = 8.4771x10-07

RMS deviation of error = 0.2938Sample standard deviation with Bessel's correction = 0.3116

216

Table B.3 Calibration of Measuring tankDepthgauge

reading(units)

Measuredquantity

(cc)

Computedquantity

(cc)

percentError(%)

52.9 5000 4993.59 0.13

66.1 6000 5997.90 0.04

79.5 7000 7017.43 -0.25

92.4 8000 7998.91 0.01

105.6 9000 9003.22 -0.36

118.4 10000 9977.10 0.23

132.0 11000 11011.85 -0.11

Fig. B.3 Calibration of measuring tank

ERROR ANALYSIS: Average difference of error = 3.4877x10-04

RMS deviation of error = 12.104Sample standard deviation with Bessel's correction = 13.073

217

Table B.4 Head vs. Discharge Characteristics of Centrifugal Pump

PressureHead

(m water)

Discharge(L/s)

computeddischarge

(L/s)

Error(%)

19.4 5.34 5.252 1.6823.3 4.95 5.032 -1.6526.7 4.75 4.825 -1.5430.0 4.58 4.608 -0.6133.4 4.45 4.369 1.8536.8 4.12 4.115 0.1240.0 3.91 3.862 1.2543.4 3.57 3.578 -0.2148.4 3.10 3.131 -0.9952.1 2.78 2.779 0.03

Fig. B.4 Head versus Discharge of Centrifugal pump

The equation of fit is ν = A0 + A1X + A2X2

Where coefficients are A0 = 6.038136, A1 = -0.0275 and A2 = -6.732x10-04

ERROR ANALYSIS:Average difference of error = -1.4305x10-07

RMS Deviation of error = 0.0555Sample standard deviation with Bessel's correction = 0.0585

226

A P P E N D I X - CMAIN FEATURES OF TEST RIG

Distances of Pressure Taps

Pressure tapNo.

Distance fromThroat entrance

P3 0.0

P4 0.0635P5 0.1752P6 1.5296P7 2.3872P8 2.6872P9 2.9872

Details of Jet pump:

Diameter of throat dt 12.7 mm

Length of throat lt 63.5 mm

Diffuser angle 6.50

Details of Primary nozzles:

NozzleDia

AreaRatio

6 mm 0.223

7 mm 0.304

8 mm 0.397

Specifications of SomeImportant Parts of theExperimental set-up

Transport Pipe:

Duct material Acrylic(Perspex)

Internal diameter 25.4 mm

Wall thickness 3 mm

Clear water tank:

Length 1.80 m

Width 0.90 m

Depth 0.90 m

Capacity 1.5 m3

Mixing tank (Secondary orSlurry tank):

Square section, side 230 mm

Length 1.80 m

Measuring tank:

Diameter 280 mm

Height 400 mm

Conveying material:

Material Mean dia(μm)

DensityKg/m3

Sand1 232 2667

Sand2 420 2656

Sand3 684 2670

227

A P P E N D I X - D

Table D.1 Results from Rose & Duckworth [104] (Pneumatic)

S.No.(-)

Re(-)

fRD(-)

fSJ(-)

fBL(-)

1 24667 0.02676 0.02596 0.02525

2 41166 0.02367 0.02356 0.02221

3 53683 0.02230 0.02253 0.02079

4 61333 0.02184 0.02207 0.02011

5 66666 0.02151 0.02180 0.01969

6 71333 0.02112 0.02159 0.01936

7 79500 0.02112 0.02126 0.01884

fRD , f

SJ , fBL – are friction factor of Rose & Duckworth, Swamee & Jain

and Blasius respectively

Table D.2 Results From Rose & Duckworth [104] (HYDRAULIC)

S.No.(-)

Re(-)

fRD(-)

fSJ(-)

fBL(-)

1 42488 0.02120 0.02190 0.022042 63732 0.02073 0.02012 0.019913 84976 0.01908 0.01901 0.01853

4 106220 0.01832 0.01823 0.01753

5 127464 0.01790 0.01764 0.016756 148708 0.01731 0.01718 0.016117 169952 0.01643 0.01680 0.015588 191196 0.01633 0.01648 0.01513

9 212440 0.01611 0.01621 0.0147410 233684 0.01542 0.01598 0.01439

228

Table D.3 Variation of f with Re for experimental data of Shih[117]

S.No.(-)

(degree)

Reexp

(-)fSh

(-)fSJ

(-)fBl

(-)

1 0.0 288467 .01713 0.01717 0.013652 0.0 302099 .01724 0.01710 0.013503 0.0 311183 0.01702 0.01706 0.013404 0.0 286059 0.01719 0.01719 0.013685 0.0 278929 0.01746 0.01723 0.013776 8.73 315853 0.01717 0.01703 0.013357 8.73 309463 0.01723 0.01706 0.013418 8.73 311327 0.01717 0.01705 0.013409 8.73 294857 0.01726 0.01714 0.0135810 17.71 285525 0.01703 0.01719 0.0136911 17.71 273858 0.01728 0.01726 0.0138312 17.71 268894 0.01721 0.01729 0.0138913 17.71 264757 0.01731 0.01732 0.0139514 17.71 284032 0.01686 0.01720 0.0137115 17.71 291233 0.01710 0.01716 0.0136216 17.71 297213 0.01718 0.01713 0.0135517 17.71 269721 0.01739 0.01728 0.0138818 17.71 279816 0.01785 0.01722 0.0137619 17.71 249948 0.01740 0.01742 0.01415

fSH , f

SJ , fBL – are friction factor of Shih, Swamee & Jain and Blasius

respectively

A P P E N D I X - E

229

CONVEYING MATERIAL PROPERTIES

Table E.1 Properties of material conveyed

Material dmin

(m)

dmax

(m)

Mean dia(m)

Density(kg/m3)

Sand1 125 355 232 2667

Sand2 212 710 420 2656

Sand3 425 1000 684 2670

0 50 100 150 200 250 300 3500

20

40

60

80

100

Cum

ulat

ive

Und

ersi

ze [%

]

Particle Diameter [m]

Fig E.1 Particle size distribution of sand1 (small)

Mean dia = 232 m

230

0 100 200 300 400 500 600 7000

20

40

60

80

100

Cum

ulat

ive

Und

ersi

ze [%

]


Mean dia = 420 m

Fig. E.3 Particle size distribution of sand3 (large)

Fig. E.2 Particle size distribution of sand2 (medium)

0 200 400 600 800 10000

20

40

60

80

100

Mean dia = 684 m

Cum

ulat

ive

Und

ersi

ze [%

]


A P P E N D I X - F

231

DRAG CO-EFFICIENT OF PARTICLES

0.0 0.2 0.4 0.6 0.8 1.00

10

20

30

40

50

60

70

80

Con

stan

t K (l

amiin

ar re

gion

)

Sphericity0.0 0.2 0.4 0.6 0.8 1.0

0.0

0.1

0.2

0.3

0.4

0.5

Rep

(lam

inar

regi

on)

Sphericity

0.0 0.2 0.4 0.6 0.8 1.00

3

6

9

12

15

18

21

24

27

Con

stan

t K

Sphericity0.0 0.2 0.4 0.6 0.8 1.0

0.00

0.05

0.10

0.15

0.20

0.25

0.30

zeta

()

Sphericity

0.0 0.2 0.4 0.6 0.8 1.00

200

400

600

800

1000

Re

(New

ton'

s re

gion

)

Sphericity0.0 0.2 0.4 0.6 0.8 1.0

0

4

8

12

16

20

24

Fig F.7 CDN vs Sphericity

Fig F.5 vs Sphericity

Fig F.3 Repl vs Sphericity

Fig F.6 ReN vs Sphericity

Fig F.4 K vs Sphericity

Fig F.2 Kl vs Sphericity

Dra

g C

oeff

(New

ton'

s re

gion

)

Sphericity

Figs. F.1 to F.6 Variation of matrix parameters with sphericity

Table F.1 Predicted Reynolds number for several CD - Re2 values

232

SN Re CD CDRe2 Re(predicted)

Errorin

predRe

1 0.1 244.0 2 0.1 -1.072 0.2 124.0 5 0.2 0.423 0.3 83.80 8 0.3 0.904 0.5 51.50 13 0.5 0.865 0.7 37.60 18 0.7 0.246 1.0 27.20 27 1.0 -1.337 2.0 14.80 59 2.2 -8.038 3.0 10.50 95 3.1 -2.689 5.0 7.030 176 4.9 2.0910 7.0 5.480 269 6.7 4.1711 10.0 4.260 426 9.5 5.4612 20.0 2.720 1088 19.1 4.7713 30.0 2.120 1908 29.0 3.3414 50.0 1.570 3925 49.7 0.5515 70.0 1.310 6419 71.8 -2.4816 100.0 1.090 10900 106.6 -6.1617 200.0 0.776 31040 211.5 -5.4518 300.0 0.653 58770 302.1 -0.7119 500.0 0.555 138750 488.1 2.4320 700.0 0.508 248920 676.5 3.4721 1000.0 0.471 471000 965.9 3.5322 2000.0 0.421 1684000 1967.5 1.6523 3000.0 0.400 3600000 3007.3 -0.2424 5000.0 0.387 9675000 5223.2 -4.2725 7000.0 0.390 19110000 6755.7 3.6226 10000.0 0.405 40500000 9770.3 2.3527 20000.0 0.442 176800000 20151.5 -0.7528 30000.0 0.456 410400000 30476.2 -1.5629 50000.0 0.474 1185000000 51306.8 -2.5530 70000.0 0.491 2405900000 72653.5 -3.6531 100000.0 0.502 5020000000 104271.9 -4.1032 200000.0 0.498 19920000000 205214.3 -2.5433 00000.0 0.481 43290000000 300468.7 -0.1634 350000.0 0.396 48510000000 317751.1 10.15

rn2Dr ReCkRe (F.1)

Table F.2 Coefficient and exponent for equation F.1

Sl No Range kr nr

233

1 59 0.043085 0.956016

2 31000 0.103480 0.746203

3 9679986 0.656130 0.558423

4 33468750000 1.790305 0.491226

Table F.3 Error analysis for predicted Re using equation F.1

Sl. No. Error type Error(%)

1 Maximum error 10.15

2 Minimum error -8.03

3 Average error 0.07

4 RMST 3.66

5 RMSB 3.72

A P P E N D I X - G

DIFFUSION COEFFICIENT AND TAYLOR'S CONSTANT

234

Table G.1 Concentration Variation (Jotaki & Tomita [45])

Air Velocityug

(m/s)

Mixture Ratiog / s (1-)

(-)

Distance fromBottom Wall

y/D(-)

Local Conc./ Mean Conc.

cc(-)

17.2 1.5 0.865 0.440

17.2 1.5 0.710 0.600

17.2 1.5 0.565 0.755

17.2 1.5 0.440 1.050

17.2 1.5 0.300 1.300

17.2 1.5 0.140 1.735


Air Velocityug

(m/s)


(-)


y/D(-)


cc(-)

21.6 1.6 0.865 0.415

21.6 1.6 0.710 0.545

21.6 1.6 0.565 0.680

21.6 1.6 0.440 0.920

21.6 1.6 0.300 1.340

21.6 1.6 0.140 1.920


Air Velocityug

(m/s)


(-)


y/D(-)


cc(-)

17.1 3.2 0.865 0.40017.1 3.2 0.710 0.580

235

17.1 3.2 0.565 0.76017.1 3.2 0.440 1.06517.1 3.2 0.300 1.41517.1 3.2 0.140 1.985


Air Velocityug

(m/s)


(-)

Distance fromBottom wall

y/D(-)


cc(-)

16.5 10.9 0.865 0.720

16.5 10.9 0.710 0.810

16.5 10.9 0.565 0.850

16.5 10.9 0.440 0.960

16.5 10.9 0.300 1.140

16.5 10.9 0.140 1.500

Table G.5 Concentration variation across pipe diameter

Distance frombottom wall

Dy

Local conc./mean conc.

cc

Local conc./conc.at bottom

texpbcc

Local conc./conc. at bottom

theobcc

1.000 0.342 0.14849 0.14831

0.865 0.440 0.19093 0.19190

0.710 0.600 0.26036 0.25795

0.565 0.755 0.32762 0.34019

0.440 1.050 0.45563 0.43184

0.300 1.300 0.56412 0.56410

0.140 1.735 0.75288 0.76554

0.000 2.305 1.00000 1.00000

A P P E N D I X - H

CHECKING THE COMPUTATIONAL METHODOLOGYUSING SOME RELIABLE DATA

Table H.1 Range of variables in Experiments of Various Authors

Variables ROSE-PC ROSE-HC SHIH-HC YKR-HCUmax (m/s) 36.58 6.71 3.43 2.86UmLn (m/s) 18.29 4.27 2.59 0.78

236

Remax 75821 233685 310495 100923RemLn 37910 148709 206270 26813Ws max(Kg/s) 0.175 2.268 2.926 0.199Ms min (Kg/s) 0.037 0.499 0.408 0.026Cw max 90.84 35.15 19.05 18.61Cw min 51.37 8.44 2.56 3.33

Legend:-ROSE-PC - Rose & Duckworth [104] - Pneumatic ConveyingROSE-HC - Rose & Duckworth [104] - Hydraulic ConveyingSHIH-HC - Shih [117] - Hydraulic ConveyingYKR-HC - Present work - Hydraulic conveying

Table H.2 Experimental Data and Computed Parametersfor Horizontal Pipe (Shih[117])

Table H.3 Experimental Data and Computed Parametersfor θ=8.730(Shih[117])

237

Table H.4 Experimental Data and Computed Parametersfor θ=17.710 (Shih[117])

Table H.5 Error Analysis – Shih [117]

238

Error type Max (%) Min (%) ave rmst rmsb

wsbw-cw 11.20 -0.43 1.93 14.60 14.73

f-fcal 0.60 -0.69 0.04 0.28 0.28

usup-u -1.59 -17.06 -8.88 9.98 10.06

umix-u 0.60 -0.56 0.01 0.28 0.28

Table H.6 Results from Rose & Duckworth [104] (Pneumatic)_________________________________________________________________S.No. Re f RD f SJ f BL(-) (-) (-) (-) (-)_________________________________________________________________1 24667 0.02676 0.02596 0.025252 41166 0.02367 0.02356 0.022213 53683 0.02230 0.02253 0.020794 61333 0.02184 0.02207 0.020115 66666 0.02151 0.02180 0.019696 71333 0.02112 0.02159 0.019367 79500 0.02112 0.02126 0.01884_________________________________________________________________

Table H.7 Results from Rose & Duckworth [104] (Hydraulic)_______________________________________________________________S.No. Re f RD f SJ f BL(-) (-) (-) (-) (-)_______________________________________________________________1 42488 0.02120 0.02190 0.022042 63732 0.02073 0.02012 0.019913 84976 0.01908 0.01901 0.018534 106220 0.01832 0.01823 0.017535 127464 0.01790 0.01764 0.016756 148708 0.01731 0.01718 0.016117 169952 0.01643 0.01680 0.015588 191196 0.01633 0.01648 0.015139 212440 0.01611 0.01621 0.0147410 233684 0.01542 0.01598 0.01439________________________________________________________________

Table H.8 Verification using Rose & Duckworth [104]Experimental Data (Pneumatic)

__________________________________________________________________________SN W W (1-)W u f SJ f RD CW Re p sa p a p s- kg/s kg/s kg/s m/s (-) (-) % (-) Pa Pa Pa--------------------------------------------------------------------------1 0.05 0.04 0.02 18.29 .0239 .0242 67.88 37910 14.509 12.687 1.8222 0.06 0.04 0.02 21.34 .0233 .0235 64.43 44229 18.705 16.808 1.8973 0.06 0.04 0.02 24.38 .0228 .0228 61.32 50547 23.424 21.469 1.9564 0.07 0.04 0.03 30.48 .0220 .0218 55.91 63184 34.612 32.392 2.2205 0.07 0.04 0.04 36.58 .0214 .0210 51.38 75821 45.800 45.430 0.3706 0.08 0.06 0.02 18.29 .0239 .0242 77.41 37910 15.838 12.687 3.1507 0.08 0.06 0.02 21.34 .0233 .0235 74.61 44229 20.278 16.808 3.4708 0.08 0.06 0.02 24.38 .0228 .0228 71.99 50547 24.561 21.469 3.0929 0.09 0.06 0.03 30.48 .0220 .0218 67.28 63184 35.661 32.392 3.26910 0.10 0.06 0.04 36.58 .0214 .0210 63.15 75821 48.653 45.430 3.22311 0.11 0.09 0.02 18.29 .0239 .0242 83.61 37910 17.743 12.687 5.05612 0.11 0.09 0.02 21.34 .0233 .0235 81.39 44229 21.850 16.808 5.04213 0.11 0.09 0.02 24.38 .0228 .0228 79.28 50547 26.745 21.469 5.27614 0.12 0.09 0.03 27.43 .0223 .0223 77.28 56866 31.990 26.665 5.325

239

15 0.12 0.09 0.03 30.48 .0220 .0218 75.38 63184 37.934 32.392 5.54116 0.15 0.13 0.02 18.29 .0239 .0242 88.13 37910 19.491 12.687 6.80417 0.15 0.13 0.02 21.34 .0233 .0235 86.42 44229 25.347 16.808 8.53918 0.15 0.13 0.02 24.38 .0228 .0228 84.77 50547 27.095 21.469 5.62719 0.16 0.13 0.03 27.43 .0223 .0223 83.19 56866 34.956 26.665 8.29220 0.16 0.13 0.03 30.48 .0220 .0218 81.66 63184 40.643 32.392 8.25121 0.19 0.17 0.02 18.29 .0239 .0242 90.84 37910 21.152 12.687 8.46422 0.19 0.17 0.02 19.81 .0236 .0238 90.16 41070 23.424 14.680 8.74523 0.20 0.17 0.02 21.34 .0233 .0235 89.48 44229 25.347 16.808 8.53924 0.20 0.17 0.02 22.86 .0230 .0231 88.81 47388 27.967 19.071 8.89625 0.20 0.17 0.02 24.38 .0228 .0228 88.15 50547 31.203 21.469 9.735___________________________________________________________________________

Table H.9 verification using Rose & Duckworth [104] exptl. Data (pneumatic)____________________________________________________________________________

SN u g u gc Re f T S Re C C c xpS

xpa

xTp )(

xEp )(

- m/s m/s - - m/s m/s - - - - - - - %

_______________________________________________________________________________1 18.3 18.3 38026 .0239 7.4 12.9 712 0.48 0.48 1.635 12.76 14.39 14.51 12 21.4 21.4 44345 .0233 7.7 15.0 839 0.44 0.46 1.840 16.89 18.73 18.70 -03 24.4 24.4 50662 .0227 7.7 17.3 937 0.44 0.44 1.917 21.56 23.48 23.42 -04 30.5 30.5 63298 .0220 7.7 21.9 1134 0.44 0.43 2.159 32.50 34.66 34.61 -05 36.6 36.6 75934 .0214 7.7 26.5 1330 0.44 0.43 2.454 45.56 48.01 45.80 -56 18.4 18.4 38099 .0239 7.4 12.9 716 0.48 0.48 2.667 12.80 15.47 15.84 27 21.4 21.4 44418 .0233 7.7 15.0 841 0.44 0.46 2.998 16.94 19.94 20.28 28 24.5 24.5 50735 .0227 7.7 17.3 940 0.44 0.44 3.122 21.61 24.74 24.56 -19 30.6 30.6 63369 .0220 7.7 21.9 1137 0.44 0.43 3.518 32.57 36.08 35.66 -1

10 36.7 36.7 76004 .0214 7.7 26.5 1333 0.44 0.43 3.996 45.63 49.63 48.65 -211 18.4 18.4 38192 .0239 7.4 12.9 719 0.48 0.48 3.999 12.86 16.86 17.74 512 21.5 21.5 44511 .0232 7.7 15.0 845 0.44 0.46 4.487 17.00 21.49 21.85 213 24.5 24.5 50827 .0227 7.7 17.3 944 0.44 0.44 4.671 21.69 26.36 26.75 114 27.6 27.6 57143 .0223 7.7 19.6 1042 0.44 0.43 4.912 26.90 31.82 31.99 115 30.6 30.6 63460 .0220 7.7 21.9 1140 0.44 0.43 5.267 32.65 37.92 37.93 016 18.5 18.5 38322 .0239 7.4 13.0 725 0.47 0.48 5.876 12.94 18.81 19.49 317 21.5 21.5 44642 .0232 7.7 15.1 850 0.44 0.45 6.576 17.09 23.67 25.35 718 24.6 24.6 50955 .0227 7.7 17.3 949 0.44 0.44 6.843 21.79 28.63 27.10 -619 27.6 27.6 57270 .0223 7.7 19.6 1047 0.44 0.43 7.205 27.01 34.22 34.96 220 30.7 30.7 63586 .0220 7.7 21.9 1146 0.44 0.43 7.722 32.77 40.49 40.64 021 18.6 18.6 38464 .0238 7.4 13.0 731 0.47 0.48 7.940 13.02 20.96 21.15 122 20.1 20.1 41621 .0235 7.5 14.1 786 0.46 0.47 8.255 15.04 23.29 23.42 123 21.6 21.6 44783 .0232 7.7 15.1 855 0.44 0.45 8.861 17.19 26.05 25.35 -324 23.1 23.1 47939 .0230 7.7 16.2 905 0.44 0.44 9.037 19.47 28.51 27.97 -225 24.6 24.6 51095 .0227 7.7 17.4 954 0.44 0.44 9.217 21.89 31.11 31.20 0___________________________________________________________________________

Table H.10 Verification using Rose & Duckworth [104]experimental Data(hydraulic)____________________________________________________________________________SN W W (1- )W u f SJ f RD CW Re swp wp sp- kg/s kg/s kg/s m/s - - % - Pa Pa Pa____________________________________________________________________________

1 3.95 0.50 3.45 4.27 .0172 .0171 12.65 148709 0.580 0.496 0.0842 4.19 0.50 3.69 4.57 .0170 .0169 11.90 159331 0.620 0.563 0.0573 4.44 0.50 3.94 4.88 .0168 .0167 11.24 169953 0.670 0.634 0.0364 4.68 0.50 4.18 5.18 .0166 .0165 10.65 180575 0.740 0.709 0.0315 4.93 0.50 4.43 5.49 .0165 .0163 10.12 191197 0.830 0.787 0.0436 5.18 0.50 4.68 5.79 .0163 .0162 9.64 201819 0.900 0.870 0.0307 5.42 0.50 4.92 6.10 .0162 .0160 9.20 212441 0.990 0.956 0.0348 5.67 0.50 5.17 6.40 .0161 .0158 8.80 223063 1.070 1.046 0.0249 5.91 0.50 5.42 6.71 .0160 .0157 8.44 233685 1.170 1.140 0.030

10 4.24 0.79 3.45 4.27 .0172 .0171 18.72 148709 0.620 0.496 0.124

240

11 4.49 0.79 3.69 4.57 .0170 .0169 17.69 159331 0.670 0.563 0.10712 4.73 0.79 3.94 4.88 .0168 .0167 16.77 169953 0.730 0.634 0.09613 4.98 0.79 4.18 5.18 .0166 .0165 15.94 180575 0.820 0.709 0.11114 5.22 0.79 4.43 5.49 .0165 .0163 15.19 191197 0.890 0.787 0.10315 5.47 0.79 4.68 5.79 .0163 .0162 14.51 201819 0.960 0.870 0.09016 5.72 0.79 4.92 6.10 .0162 .0160 13.89 212441 1.040 0.956 0.08417 5.96 0.79 5.17 6.40 .0161 .0158 13.31 223063 1.130 1.046 0.08418 5.07 1.13 3.94 4.88 .0168 .0167 22.36 169953 0.800 0.634 0.16619 5.32 1.13 4.18 5.18 .0166 .0165 21.32 180575 0.860 0.709 0.15120 5.56 1.13 4.43 5.49 .0165 .0163 20.38 191197 0.950 0.787 0.16321 5.81 1.13 4.68 5.79 .0163 .0162 19.51 201819 1.020 0.870 0.15022 6.06 1.13 4.92 6.10 .0162 .0160 18.72 212441 1.090 0.956 0.13423 6.30 1.13 5.17 6.40 .0161 .0158 17.99 223063 1.190 1.046 0.14424 5.50 1.56 3.94 4.88 .0168 .0167 28.38 169953 0.870 0.634 0.23625 5.75 1.56 4.18 5.18 .0166 .0165 27.16 180575 0.930 0.709 0.22126 5.99 1.56 4.43 5.49 .0165 .0163 26.04 191197 0.990 0.787 0.20327 6.24 1.56 4.68 5.79 .0163 .0162 25.02 201819 1.060 0.870 0.19028 6.48 1.56 4.92 6.10 .0162 .0160 24.07 212441 1.150 0.956 0.19429 6.45 2.27 4.18 5.18 .0166 .0165 35.15 180575 1.030 0.709 0.32130 6.70 2.27 4.43 5.49 .0165 .0163 33.86 191197 1.100 0.787 0.31331 6.94 2.27 4.68 5.79 .0163 .0162 32.66 201819 1.180 0.870 0.31032 7.19 2.27 4.92 6.10 .0162 .0160 31.54 212441 1.260 0.956 0.304____________________________________________________________________________

Table H.11 verification using Rose & Duckworth [104] exptl. Data (hydraulic)____________________________________________________________________________

SN u g u gc Re f T S Re C C c xpS

xpw

xTp )(

xEp )(

- m/s m/s - - m/s m/s - - - - - - - %____________________________________________________________________________

1 4.3 4.3 150841 .0171 0.9 4.0 962 0.43 0.44 0.026 0.51 0.54 0.58 82 4.6 4.6 161466 .0169 0.9 4.2 1048 0.43 0.43 0.028 0.58 0.61 0.62 23 4.9 4.9 172086 .0168 0.9 4.5 1109 0.43 0.43 0.030 0.65 0.68 0.67 -14 5.2 5.2 182703 .0166 0.9 4.8 1155 0.43 0.43 0.030 0.72 0.75 0.74 -25 5.5 5.5 193319 .0165 0.9 5.1 1196 0.43 0.43 0.031 0.80 0.83 0.83 -06 5.9 5.9 203936 .0163 0.9 5.4 1233 0.43 0.43 0.031 0.89 0.92 0.90 -27 6.2 6.2 214552 .0162 0.9 5.7 1269 0.43 0.43 0.031 0.97 1.00 0.99 -18 6.5 6.5 225169 .0161 0.9 6.0 1304 0.43 0.43 0.031 1.06 1.10 1.07 -29 6.8 6.8 235787 .0160 0.9 6.3 1339 0.43 0.43 0.031 1.16 1.19 1.17 -2

10 4.4 4.4 152131 .0171 0.9 4.0 979 0.43 0.43 0.042 0.52 0.56 0.62 1011 4.7 4.7 162756 .0169 0.9 4.3 1061 0.43 0.43 0.045 0.59 0.63 0.67 612 5.0 5.0 173372 .0167 0.9 4.5 1119 0.43 0.43 0.047 0.66 0.70 0.73 313 5.3 5.3 183985 .0166 0.9 4.8 1165 0.43 0.43 0.048 0.73 0.78 0.82 514 5.6 5.6 194596 .0164 0.9 5.1 1205 0.43 0.43 0.049 0.81 0.86 0.89 315 5.9 5.9 205208 .0163 0.9 5.4 1242 0.43 0.43 0.049 0.90 0.95 0.96 216 6.2 6.2 215821 .0162 0.9 5.7 1278 0.43 0.43 0.049 0.98 1.03 1.04 117 6.5 6.5 226434 .0161 0.9 6.0 1313 0.43 0.43 0.050 1.07 1.12 1.13 018 5.0 5.0 174882 .0167 0.9 4.6 1131 0.43 0.43 0.068 0.67 0.74 0.80 819 5.3 5.3 185488 .0166 0.9 4.9 1176 0.43 0.43 0.069 0.74 0.81 0.86 520 5.6 5.6 196092 .0164 0.9 5.2 1215 0.43 0.43 0.070 0.82 0.89 0.95 621 5.9 5.9 206698 .0163 0.9 5.5 1252 0.43 0.43 0.070 0.91 0.98 1.02 422 6.2 6.2 217304 .0162 0.9 5.7 1288 0.43 0.43 0.071 1.00 1.07 1.09 223 6.5 6.5 227912 .0160 0.9 6.0 1323 0.43 0.43 0.071 1.09 1.16 1.19 324 5.1 5.1 176814 .0167 0.9 4.6 1146 0.43 0.43 0.093 0.68 0.77 0.87 1125 5.4 5.4 187408 .0165 0.9 4.9 1189 0.43 0.43 0.095 0.76 0.85 0.93 826 5.7 5.7 198002 .0164 0.9 5.2 1228 0.43 0.43 0.096 0.84 0.93 0.99 627 6.0 6.0 208597 .0163 0.9 5.5 1265 0.43 0.43 0.097 0.92 1.02 1.06 428 6.3 6.3 219194 .0161 0.9 5.8 1301 0.43 0.43 0.097 1.01 1.11 1.15 429 5.5 5.5 190106 .0165 0.9 5.0 1210 0.43 0.43 0.146 0.78 0.93 1.03 1030 5.8 5.8 200711 .0164 0.9 5.3 1248 0.43 0.43 0.147 0.86 1.01 1.10 831 6.1 6.1 211317 .0162 0.9 5.6 1285 0.43 0.43 0.148 0.95 1.09 1.18 732 6.4 6.4 221924 .0161 0.9 5.9 1321 0.43 0.43 0.148 1.04 1.18 1.26 6____________________________________________________________________________

Table H.12 Variation Of f With Re for Experimental Data Of Shih[117]_________________________________________________________________________S.No. Re exp f Sh f SJ f Bl(-) (degree) (-) (-) (-) (-)_________________________________________________________________________

241

1 0.0 288467 0.01713 0.01717 0.013652 0.0 302099 0.01724 0.01710 0.013503 0.0 311183 0.01702 0.01706 0.013404 0.0 286059 0.01719 0.01719 0.013685 0.0 278929 0.01746 0.01723 0.013776 8.73 315853 0.01717 0.01703 0.013357 8.73 309463 0.01723 0.01706 0.013418 8.73 311327 0.01717 0.01705 0.013409 8.73 294857 0.01726 0.01714 0.01358

10 17.71 285525 0.01703 0.01719 0.0136911 17.71 273858 0.01728 0.01726 0.0138312 17.71 268894 0.01721 0.01729 0.0138913 17.71 264757 0.01731 0.01732 0.0139514 17.71 284032 0.01686 0.01720 0.0137115 17.71 291233 0.01710 0.01716 0.0136216 17.71 297213 0.01718 0.01713 0.0135517 17.71 269721 0.01739 0.01728 0.0138818 17.71 279816 0.01785 0.01722 0.0137619 17.71 249948 0.01740 0.01742 0.01415__________________________________________________________________________

Table H.13 Average K, & Ε/D for Various authors___________________________________________________________________S.No. REFERENCE K ε/D

(-) (-) (-)____________________________________________________________________1. SHIH (Water) [117] 13.38x10 2 5.38x10 2 3.07x10 4

2. ROSE et al (Air) [104] 0.222 0.21 5.52x10 4

3. ROSE et al (Water) [104] 0.169 0.192 9.69x10 5

5. Y.K.REDDY (present work] 9.66x10 2 1.32x10 2 6.95x10 4

Table H.14 Verification using Shih [117] exptl. Data (Hydraulic)____________________________________________________________________________

SN u g u gc Re f T S Re p C C c xpS

xpw

xTp )(

xEp )(

- ft/s ft/s - - ft/s ft/s - - - 3ftIbf

3ftIbf

3ftIbf

3ftIbf %

____________________________________________________________________________1 11.4 11.4 314768 .0170 0.8 11.0 1978 0.43 0.43 0.342 8.59 8.93 9.08 22 11.1 11.1 299490 .0171 0.8 10.7 1931 0.43 0.43 0.341 8.20 8.54 8.77 33 10.9 10.9 297841 .0171 0.8 10.5 1960 0.43 0.43 0.349 7.92 8.27 8.58 44 11.1 11.1 302978 .0171 0.8 10.7 1975 0.43 0.43 0.435 8.19 8.63 8.89 35 11.2 11.2 308432 .0171 0.8 10.8 1999 0.43 0.43 0.433 8.28 8.71 9.08 46 10.9 10.9 297857 .0171 0.8 10.5 1937 0.43 0.43 0.267 7.92 8.19 8.27 17 10.9 10.9 296245 .0171 0.8 10.4 1991 0.43 0.43 0.501 7.85 8.36 8.58 38 11.5 11.5 325239 .0170 0.8 11.1 1960 0.43 0.43 0.118 8.73 8.85 8.77 -19 10.5 10.5 293205 .0171 0.8 10.1 2014 0.43 0.43 0.137 7.34 7.47 7.65 2

10 10.5 10.5 291563 .0172 0.8 10.0 2050 0.43 0.43 0.295 7.25 7.55 7.77 311 11.4 11.4 321776 .0170 0.8 11.0 1958 0.43 0.43 0.105 8.55 8.66 8.58 -112 11.0 11.0 309313 .0171 0.8 10.5 1993 0.43 0.43 0.212 7.94 8.15 8.27 113 11.3 11.3 315695 .0170 0.8 10.9 1960 0.43 0.43 0.201 8.45 8.66 8.71 114 10.5 10.5 292272 .0172 0.8 10.1 2030 0.43 0.43 0.216 7.30 7.51 7.65 215 11.2 11.2 311130 .0171 0.8 10.7 2013 0.43 0.43 0.368 8.20 8.57 8.89 416 10.9 10.9 302422 .0171 0.8 10.4 2025 0.43 0.43 0.428 7.78 8.21 8.46 317 10.5 10.5 295065 .0171 0.8 10.0 2074 0.43 0.43 0.295 7.24 7.54 7.65 118 10.8 10.8 303330 .0171 0.8 10.3 1975 0.43 0.43 0.113 7.64 7.75 7.90 219 11.4 11.4 320711 .0170 0.8 10.9 2001 0.43 0.43 0.256 8.50 8.75 8.77 020 11.3 11.3 321667 .0170 0.8 10.9 1989 0.43 0.43 0.121 8.35 8.47 8.52 121 11.3 11.3 314215 .0170 0.8 10.7 2467 0.43 0.43 0.441 8.36 8.81 8.89 122 11.2 11.2 315357 .0170 0.8 10.6 2529 0.43 0.43 0.677 8.23 8.91 9.14 323 11.1 11.1 311796 .0171 0.8 10.5 2462 0.43 0.43 0.168 8.05 8.22 8.27 124 10.9 10.9 311654 .0171 0.8 10.4 2531 0.43 0.43 0.444 7.85 8.30 8.46 225 10.8 10.8 305507 .0171 0.8 10.3 2530 0.43 0.43 0.668 7.75 8.42 8.77 426 10.3 10.3 287098 .0172 0.8 9.8 2527 0.43 0.43 0.502 7.04 7.54 7.65 1

242

27 10.2 10.2 288793 .0172 0.8 9.7 2589 0.43 0.43 0.787 6.96 7.75 7.77 028 10.8 10.8 305030 .0171 0.8 10.3 2485 0.43 0.43 0.325 7.73 8.06 8.21 229 11.2 11.2 316110 .0170 0.8 10.7 2477 0.43 0.43 0.308 8.28 8.58 8.77 230 11.3 11.3 317910 .0170 0.8 10.7 2477 0.43 0.43 0.311 8.37 8.68 8.77 131 10.5 10.5 291520 .0172 0.8 9.9 2504 0.43 0.43 0.339 7.26 7.60 7.65 132 10.5 10.5 295039 .0171 0.8 9.9 2556 0.43 0.43 0.507 7.24 7.75 7.90 233 10.3 10.3 287105 .0172 0.8 9.8 2507 0.43 0.43 0.327 7.05 7.38 7.46 134 10.6 10.6 276981 .0172 0.8 10.0 2337 0.43 0.43 0.197 7.43 7.63 7.65 035 11.3 11.3 295795 .0171 0.8 10.8 2284 0.43 0.43 0.180 8.42 8.60 8.59 -036 11.5 11.5 259607 .0173 0.8 10.9 2260 0.43 0.43 0.167 8.94 9.11 9.16 037 11.0 11.0 253044 .0174 0.8 10.4 2331 0.43 0.43 0.186 8.08 8.26 8.34 138 10.6 10.6 247305 .0174 0.8 10.0 2368 0.43 0.43 0.182 7.53 7.71 7.72 039 11.6 11.6 254057 .0174 0.8 11.0 2198 0.43 0.43 0.167 9.06 9.23 9.10 -140 10.9 10.9 247509 .0174 0.8 10.3 2300 0.43 0.43 0.176 7.95 8.13 8.03 -141 10.3 10.3 241146 .0175 0.8 9.7 2403 0.43 0.43 0.206 7.18 7.39 7.35 -142 10.9 10.9 239411 .0175 0.8 10.3 2210 0.43 0.43 0.261 8.10 8.36 8.47 143 11.5 11.5 258494 .0174 0.8 10.9 2258 0.43 0.43 0.123 8.86 8.98 9.09 144 11.2 11.2 255250 .0174 0.8 10.6 2302 0.43 0.43 0.265 8.43 8.70 8.66 -045 11.2 11.2 263380 .0173 0.8 10.6 2388 0.43 0.43 0.364 8.38 8.75 8.72 -046 11.3 11.3 254395 .0174 0.8 10.7 2274 0.43 0.43 0.341 8.61 8.95 9.16 247 10.5 10.5 232800 .0175 0.8 9.9 2254 0.43 0.43 0.393 7.48 7.87 7.72 -248 10.8 10.8 236799 .0175 0.8 10.2 2218 0.43 0.43 0.373 7.94 8.31 8.22 -149 10.5 10.5 249815 .0174 0.8 9.9 2426 0.43 0.43 0.578 7.47 8.05 8.16 150 11.4 11.4 250334 .0174 0.8 10.8 2226 0.43 0.43 0.546 8.81 9.35 9.53 251 11.3 11.3 268861 .0173 0.8 10.7 2420 0.43 0.43 0.582 8.59 9.18 9.28 152 10.6 10.6 247283 .0174 0.8 9.9 2418 0.43 0.43 0.970 7.54 8.51 8.66 253 11.0 11.0 256424 .0174 0.8 10.3 2413 0.43 0.43 0.920 8.07 8.99 8.97 -054 10.8 10.8 258910 .0174 0.8 10.2 2488 0.43 0.43 1.046 7.81 8.85 8.78 -155 11.0 11.0 248329 .0174 0.8 10.4 2295 0.43 0.43 0.607 8.21 8.82 8.78 -056 11.2 11.2 258594 .0174 0.8 10.6 2387 0.43 0.43 1.007 8.43 9.43 9.40 -057 10.7 10.7 255251 .0174 0.8 10.1 2467 0.43 0.43 0.968 7.70 8.66 8.59 -158 11.4 11.4 273004 .0173 0.8 10.7 2482 0.43 0.43 0.965 8.63 9.60 9.53 -1____________________________________________________________________________

Table H.15 Range of Percentage Error in Experiments of VariousAuthors Using Particle dynamics equation

Variable Rose & DucworthPneumatic[104]

Rose & DucworthHydraulic[104]

Shih[117]hydraulic

Minimum error -4.96% -13.56% -4.07%

Maximum error 5.65% 0.93% 1.94%

Average error -0.06% -6.36% -1.01%

Std Deviation 2.37 4.55 1.44

Table H.16 Range of Important Variables for Primary Flow (present expt):

Variable Minimum Maximum Average

Velocity , U (m/s) 0.89 2.97 1.93

Reynolds number, Re(-) 28,807 110,576 69,692

Volume Flow rate, (L/s) 0.41 1.12 0.765

243

Table H.17 range of important variables or tertiary flow (present expt):

Variable Minimum Maximum Average

U (m/s) 0.92 3.20 2.06

Reynolds number (-) 29,727 113,241 71,484

Mass flow rate of fluid (kg/s) 0.45 1.58 1.015

Mass flow rate of solids(kg/s) 0.027 0.212 0.1195

Total Vol. Flow rate (L/s) 0.47 1.62 1.045

Concentration by Vol. (%) 1.27 7.88 4.575

A P P E N D I X - IPRESENT EXPERIMENTAL DATA

Legend for experimental data:R50 - rotameter reading (Rotameter1) (LPM)R100 - rotameter reading (Rotameter2) (LPM)M1L - Manometer left limb reading (primary flow) (cm of Hg)M1R - Manometer right limb reading (primary flow) (cm of Hg)MXL - Manometer left limb reading (X is pressure tap No.; Ref Fig. 4.1)(cm of Hg)MXR - Manometer right limb reading (X is pressure tap No.; Ref Fig. 4.1)(cm of Hg)TM - Time of sample collection in measuring tank (s)HC - Depth gauge reading in measuring tankW - Weight of sample collected in measuring tank(Kgf)TC - Temperature of water (deg C)

Experimental data for water-water pumpingTable: I.1 Water-water pumping – nozzle = 6 mm, s/dt=0.0DATA FILE = N6S00WWD.D04 NSET = 4 SBYDT = 0 MATL=NILSN R50 R100 M1L M1R M3L M3R M4L M4R M5L M5R HMIX1. 36.00 0.00 59.55 212.45 12.50 33.20 13.30 22.00 26.20 10.50 24.02. 31.50 0.00 79.10 193.30 15.70 29.85 15.50 19.80 25.00 11.50 12.03. 28.70 0.00 90.30 182.40 17.40 28.20 16.50 18.70 24.60 12.00 10.04. 24.80 0.00 103.55 169.95 19.20 26.35 17.90 17.30 23.95 12.65 10.0SN M6L M6R M7L M7R M8L M8R M9L M9R TM HC W TC1. 33.00 18.30 24.95 10.65 23.50 9.60 22.50 9.00 7.70 85.80 16.360 38.82. 32.00 19.40 24.00 11.60 22.60 10.40 21.70 9.80 11.04 110.30 18.290 33.03. 31.30 20.00 23.45 12.20 22.10 11.00 21.15 10.25 13.23 117.00 18.740 34.04. 30.90 20.55 23.05 12.55 21.70 11.30 20.90 10.60 15.54 114.90 18.630 34.3

Table: I.2 Water-water pumping – nozzle = 6 mm, s/dt=0.5DATA FILE = N6S05WWD.D05 NSET = 5 SBYDT = .5 MATL=NILSN R50 R100 M1L M1R M3L M3R M4L M4R M5L M5R HMIX1. 35.50 0.00 60.30 211.20 15.95 29.85 14.40 21.00 25.75 10.85 20.02. 33.00 0.00 69.85 202.55 16.70 28.60 15.10 20.30 25.35 11.20 7.03. 31.30 0.00 76.50 194.60 17.60 28.20 15.70 19.60 25.05 11.55 14.04. 28.70 0.00 88.85 183.95 18.60 27.10 16.70 18.50 24.65 12.05 8.05. 25.50 0.00 100.35 172.95 19.80 25.80 18.10 15.10 24.10 12.55 6.0SN M6L M6R M7L M7R M8L M8R M9L M9R TM HC W TC1. 33.10 18.35 24.95 10.70 23.55 9.55 22.50 8.90 8.61 100.30 17.480 33.82. 32.65 18.85 24.60 11.10 23.15 10.00 22.20 9.50 9.73 105.50 17.900 35.03. 32.20 19.20 24.20 11.50 22.75 10.35 21.80 9.60 10.20 106.10 17.960 36.04. 31.55 19.85 23.60 12.00 22.20 10.80 21.40 10.10 12.51 116.30 18.700 37.05. 31.00 20.40 23.20 12.50 21.85 11.25 20.95 10.45 14.54 113.50 18.480 37.5

244

Table: I.3 Water-water pumping – nozzle = 6 mm, s/dt=1.0DATA FILE = N6S10WWD.D04 NSET = 4 SBYDT = 1 MATL=NILSN R50 R100 M1L M1R M3L M3R M4L M4R M5L M5R HMIX1. 35.40 0.00 56.50 215.50 15.00 30.70 15.00 20.30 26.40 10.20 10.02. 32.00 0.00 72.30 199.90 17.00 28.60 16.00 19.30 25.55 10.95 6.03. 29.40 0.00 84.35 188.25 18.30 27.30 16.60 18.70 25.05 11.65 3.04. 27.30 0.00 93.00 180.00 19.10 26.50 17.40 17.90 24.60 12.10 5.0

SN M6L M6R M7L M7R M8L M8R M9L M9R TM HC W TC1. 33.75 17.65 25.50 10.10 24.00 9.10 22.95 8.55 8.77 112.60 18.460 34.52. 32.75 18.65 24.75 10.95 23.20 9.80 22.30 9.30 9.76 110.70 18.300 35.03. 32.05 19.35 24.00 11.60 22.70 10.40 21.75 9.75 10.29 103.50 17.750 35.84. 31.60 19.80 23.65 12.05 22.35 10.85 21.35 10.05 12.79 119.90 19.000 36.5

Table: I.4 Water-water pumping – nozzle = 6 mm, s/dt=1.5DATA FILE = N6S15WWD.D04 NSET = 4 SBYDT = 1.5 MATL=NILSN R50 R100 M1L M1R M3L M3R M4L M4R M5L M5R HMIX1. 35.00 0.00 58.50 213.20 15.60 30.10 18.10 17.10 26.30 10.40 10.02. 32.80 0.00 68.35 203.75 16.80 28.80 18.40 16.80 25.90 10.80 6.03. 29.50 0.00 83.00 189.80 18.40 27.20 19.00 16.10 25.10 11.50 6.04. 27.00 0.00 93.80 179.30 19.40 26.20 19.50 15.70 24.60 12.10 7.0


Table: I.5 Water-water pumping – nozzle = 6 mm, s/dt=2.0DATA FILE = N6S20WWD.D05 NSET = 5 SBYDT = 2 MATL=NILSN R50 R100 M1L M1R M3L M3R M4L M4R M5L M5R HMIX1. 33.90 0.00 64.20 207.80 16.80 28.90 18.60 16.70 26.35 10.45 16.02. 32.70 0.00 69.10 203.10 17.35 28.35 18.90 16.40 26.00 10.70 14.03. 30.00 0.00 88.00 191.60 18.50 27.20 19.60 16.70 25.35 11.35 7.04. 28.00 0.00 91.80 181.00 19.50 26.20 20.30 15.00 24.70 12.00 10.05. 24.50 0.00 102.80 170.70 20.40 25.10 20.80 14.40 24.10 12.60 10.0

SN M6L M6R M7L M7R M8L M8R M9L M9R TM HC W TC1. 33.50 17.90 25.45 10.35 23.90 8.30 22.45 9.00 8.89 111.90 18.370 32.52. 33.05 18.45 24.85 10.85 23.40 9.70 22.45 9.15 9.67 114.10 18.500 33.43. 32.30 19.15 24.30 11.50 22.90 10.30 22.00 9.65 10.98 117.70 18.790 34.24. 31.50 20.00 23.60 12.20 22.20 10.90 21.30 10.20 13.02 115.00 18.600 35.05. 30.95 20.50 23.10 12.60 21.70 11.25 20.90 10.65 15.32 119.20 18.920 36.0



Table: I.7 Water-water pumping – nozzle = 6 mm, s/dt=0.5DATA FILE = N7S05WWD.D04 NSET = 4 SBYDT = .5 MATL=NILSN R50 R100 M1L M1R M3L M3R M4L M4R M5L M5R HMIX1. 39.00 0.00 97.45 175.75 17.50 28.10 20.00 22.70 28.20 12.40 2.02. 44.00 0.00 85.75 186.85 15.00 30.70 17.60 25.10 29.75 10.85 4.03. 47.50 0.00 76.85 195.05 12.60 33.00 16.00 26.80 30.95 9.75 5.04. 20.00 34.00 60.75 210.75 9.10 36.50 12.30 30.50 33.00 7.60 4.0



245

5. 19.90 33.00 61.70 209.95 11.50 34.10 13.50 29.30 32.65 7.85 7.0








Table: I.12 Water-water pumping – nozzle = 8 mm, s/dt=0.5DATA FILE = N8S05WWD.D04 NSET = 4 SBYDT = .5 MATL=NILSN R50 R100 M1L M1R M3L M3R M4L M4R M5L M5R HMIX1. 41.90 0.00 107.60 166.10 18.70 26.90 19.50 23.30 27.20 13.50 2.02. 49.10 0.00 95.00 178.10 15.80 29.80 15.40 27.40 28.90 11.70 3.03. 21.80 33.50 85.80 187.00 13.40 32.20 12.30 30.50 30.35 10.35 3.04. 25.50 40.00 60.20 211.70 7.30 38.40 6.30 36.70 33.90 6.80 3.0

SN M6L M6R M7L M7R M8L M8R M9L M9R TM HC W TC1. 32.30 19.15 24.45 11.65 22.90 10.30 21.95 9.65 10.29 110.70 18.300 35.02. 33.95 17.45 25.85 10.15 24.20 8.90 23.15 8.35 8.17 110.00 18.200 35.43. 35.35 16.10 26.90 9.00 25.25 7.85 24.15 7.45 7.61 115.00 18.630 36.04. 38.60 12.80 29.80 6.20 28.00 5.20 26.60 4.90 6.39 118.40 18.900 37.0Table: I.13 Water-water pumping – nozzle = 8 mm, s/dt=1.0DATA FILE = N8S10WWD.D03 NSET = 3 SBYDT = 1 MATL=NILSN R50 R100 M1L M1R M3L M3R M4L M4R M5L M5R HMIX1. 42.30 0.00 105.90 167.80 18.50 27.20 15.30 20.10 27.70 13.10 2.02. 19.50 30.50 94.15 179.05 15.90 29.80 11.90 23.40 29.05 11.55 7.03. 20.10 33.70 86.50 186.70 13.60 32.00 8.60 26.80 30.55 10.05 4.0

SN M6L M6R M7L M7R M8L M8R M9L M9R TM HC W TC1. 32.65 18.85 24.70 11.40 23.20 10.00 22.15 9.45 9.82 110.50 18.260 36.82. 34.10 17.30 26.00 10.00 24.35 8.75 23.20 8.20 8.17 111.90 18.330 37.03. 35.40 15.90 27.00 8.80 25.50 7.70 24.25 7.25 7.27 110.80 18.290 37.5

246





Experimental data of water-sand pumpingTable: I.16 Water-sand pumping – dn = 6 mm, s/dt=1.0, dp=232μmSN R50 R100 M1L M1R M3L M3R M4L M4R M5L M5R HMIX1. 22.40 0.00 109.90 164.00 21.00 24.70 20.40 14.70 24.15 12.45 5.02. 26.00 0.00 98.00 175.10 20.00 25.70 18.70 16.60 24.75 11.85 4.03. 30.00 0.00 82.60 189.80 18.50 27.20 16.70 18.50 25.40 11.20 3.04. 32.70 0.00 69.45 202.55 17.05 28.75 15.15 20.05 26.00 10.50 4.05. 34.30 0.00 61.50 210.40 15.85 29.75 14.55 20.85 26.35 10.25 6.0

SN M6L M6R M7L M7R M8L M8R M9L M9R TM HC W TC1. 22.50 0.00 109.00 164.60 21.10 24.60 20.50 14.70 24.15 12.45 2.02. 26.00 0.00 97.70 175.45 20.20 25.40 18.80 16.40 24.75 11.85 4.03. 29.50 0.00 83.80 188.80 18.60 27.00 17.00 18.30 25.45 11.15 12.04. 32.50 0.00 70.85 201.00 17.50 28.20 15.70 20.70 26.25 10.45 4.05. 34.80 0.00 61.25 210.60 16.10 29.50 14.40 20.90 26.60 9.90 5.0

Table: I.17 Water-sand pumping – dn = 6 mm, s/dt=1.5, dp=232μmSN R50 R100 M1L M1R M3L M3R M4L M4R M5L M5R HMIX2. 25.70 0.00 99.50 173.80 20.80 24.90 19.10 16.10 24.65 12.05 2.03. 28.90 0.00 86.80 186.20 19.30 26.30 17.50 17.80 25.25 11.45 12.04. 33.00 0.00 70.20 201.85 17.60 28.00 15.40 20.00 26.05 10.55 10.05. 34.80 0.00 59.40 212.70 16.30 29.40 14.00 21.40 26.70 9.90 14.0


Table: I.18 Water-sand pumping – dn = 6 mm, s/dt=2.0, dp=232μmSN R50 R100 M1L M1R M3L M3R M4L M4R M5L M5R HMIX1. 24.20 0.00 104.50 168.90 20.90 24.70 20.10 15.10 24.50 12.00 4.02. 27.40 0.00 93.80 179.20 20.10 25.50 18.50 16.70 25.05 11.55 0.03. 29.00 0.00 87.05 185.45 19.30 26.30 17.70 17.60 25.40 11.20 5.04. 32.60 0.00 70.90 201.20 17.45 28.15 15.50 19.80 26.25 10.40 6.05. 35.50 0.00 57.15 214.00 15.75 29.85 13.85 21.45 26.95 9.65 4.0


Table: I.19 Water-sand pumping – dn = 6 mm, s/dt=1.0, dp=420μmSN R50 R100 M1L M1R M3L M3R M4L M4R M5L M5R HMIX

247

1. 22.70 0.00 109.50 164.20 21.00 24.70 21.00 14.20 24.20 12.50 2.02. 27.50 0.00 93.05 179.55 19.70 26.00 18.50 16.80 25.15 11.45 4.03. 30.00 0.00 81.25 190.95 18.50 26.30 17.00 18.30 25.80 10.90 6.04. 32.70 0.00 69.90 202.00 17.30 28.40 15.60 19.80 26.20 10.40 5.05. 35.10 0.00 58.70 213.10 15.65 29.85 13.90 21.50 26.70 9.90 8.0










Table: I.24 Water-sand pumping – dn = 6 mm, s/dt=2.0, dp=684μmSN R50 R100 M1L M1R M3L M3R M4L M4R M5L M5R HMIX1. 30.80 0.00 113.45 160.25 21.40 24.20 24.40 18.20 26.60 14.00 0.02. 36.50 0.00 101.30 171.80 20.10 25.40 22.90 19.60 28.00 12.40 3.03. 42.00 0.00 87.95 184.75 17.90 27.70 20.70 21.90 29.75 10.85 2.04. 18.00 29.00 76.25 195.55 15.70 29.90 18.70 24.00 31.00 9.50 4.0

SN M6L M6R M7L M7R M8L M8R M9L M9R TM HC W TC

248

1. 32.00 0.00 109.90 163.60 22.10 23.50 24.20 18.30 26.90 13.70 2.02. 36.40 0.00 102.10 170.90 21.00 24.50 23.30 19.30 27.90 12.60 0.03. 40.30 0.00 92.05 180.85 19.50 26.00 21.40 21.20 29.25 11.35 2.04. 45.80 0.00 77.65 194.15 17.10 28.50 19.00 23.70 30.85 9.65 2.05. 19.50 32.00 64.80 207.35 14.50 31.10 16.60 26.10 32.45 8.25 2.0



Table: I.26 Water-sand pumping – dn = 7 mm, s/dt=1.5, dp=232μmSN R50 R100 M1L M1R M3L M3R M4L M4R M5L M5R HMIX1. 37.40 0.00 113.80 160.10 21.70 24.00 22.30 20.50 27.05 13.75 3.02. 44.00 0.00 103.05 170.55 19.50 26.10 19.00 23.70 28.40 12.20 4.03. 19.60 32.30 89.45 183.45 16.90 28.70 15.00 27.80 30.05 10.55 4.04. 21.00 36.00 78.90 193.50 14.40 31.30 11.70 31.20 31.70 9.10 4.05. 23.20 41.30 60.45 211.15 9.60 36.00 5.00 38.00 34.25 6.25 3.0SN M6L M6R M7L M7R M8L M8R M9L M9R TM HC W TC1. 39.00 0.00 111.50 162.10 20.10 25.50 21.30 21.30 27.40 13.20 3.02. 46.30 0.00 99.40 173.70 17.60 28.00 17.50 25.20 28.75 11.85 0.03. 20.70 32.10 89.00 183.70 15.10 30.50 14.20 28.60 30.15 10.45 7.04. 21.60 37.20 76.20 195.80 12.40 33.20 10.70 32.10 31.90 8.90 4.05. 23.30 41.80 61.95 209.35 8.40 37.20 5.80 37.20 34.25 6.25 5.0







249

Table: I.30 Water-sand pumping – dn = 7 mm, s/dt=2.0, dp=420μmSN R50 R100 M1L M1R M3L M3R M4L M4R M5L M5R HMIX1. 30.90 20.50 23.10 12.70 21.80 11.30 20.90 10.60 15.70 89.20 16.920 36.02. 31.45 19.95 23.60 12.20 22.20 10.90 21.25 10.25 11.77 92.70 17.200 36.53. 32.20 19.20 24.25 11.55 22.75 10.35 21.80 9.60 9.48 92.10 17.150 37.04. 33.10 18.40 25.00 11.00 23.45 9.75 22.50 9.10 9.01 100.00 17.800 31.85. 33.65 17.85 25.50 10.40 23.95 9.15 22.95 8.65 8.42 102.20 17.950 32.8

SN M6L M6R M7L M7R M8L M8R M9L M9R TM HC W TC2. 31.35 20.20 23.45 12.85 22.00 11.10 21.15 10.45 11.27 80.30 16.200 35.23. 32.00 19.50 23.95 11.85 22.45 10.60 21.60 9.90 10.11 92.90 17.100 35.64. 33.00 18.40 24.95 10.85 23.50 9.70 22.45 9.15 8.17 91.00 16.950 36.25. 33.90 17.60 25.55 10.35 23.90 9.30 22.85 8.80 8.07 95.50 17.300 37.0Table: I.31 Water-sand pumping – dn = 7 mm, s/dt=1.0, dp=684μmSN R50 R100 M1L M1R M3L M3R M4L M4R M5L M5R HMIX1. 31.10 20.40 23.30 12.60 21.90 11.30 21.00 10.50 15.14 90.30 17.080 27.52. 31.65 19.75 23.80 12.10 22.30 10.80 21.40 10.10 11.23 91.60 17.230 28.03. 32.35 19.05 24.45 11.45 22.85 10.25 21.95 9.55 9.58 93.50 17.380 28.84. 33.10 18.30 25.00 10.90 22.45 9.55 22.45 8.95 8.08 85.90 16.760 29.65. 33.80 17.70 25.55 10.25 24.00 9.10 22.95 8.45 7.48 88.90 17.000 30.2






Table: I.34 Water-sand pumping – dn = 8 mm, s/dt=1.0, dp=232μmSN R50 R100 M1L M1R M3L M3R M4L M4R M5L M5R HMIX1. 31.55 19.95 23.90 12.70 22.20 11.20 21.50 10.60 14.38 124.30 19.680 35.32. 32.50 19.00 24.75 11.85 23.00 10.40 22.20 9.90 11.20 120.10 19.300 35.63. 33.70 17.95 25.75 10.85 23.90 9.45 23.05 8.95 9.39 122.10 19.480 36.04. 35.40 16.00 27.30 9.30 25.40 8.00 24.40 7.70 7.88 122.00 19.420 36.55. 36.00 15.60 27.65 8.95 25.65 7.75 24.60 7.50 7.80 121.90 19.450 37.0SN M6L M6R M7L M7R M8L M8R M9L M9R TM HC W TC1. 31.60 19.90 23.85 12.55 22.70 11.10 21.35 10.65 14.05 117.00 19.220 33.02. 32.50 19.00 24.60 11.80 22.90 10.40 22.10 9.90 10.77 113.30 19.000 33.53. 34.35 17.15 26.20 10.20 24.45 8.85 23.50 8.60 8.17 110.20 18.680 34.04. 35.00 16.40 26.80 9.50 25.05 8.25 23.95 8.05 7.95 115.40 19.200 34.35. 36.70 14.80 28.25 8.15 26.40 7.00 25.25 6.75 6.98 115.50 19.200 30.5

Table: I.35 Water-sand pumping – dn = 8 mm, s/dt=1.5, dp=232μmSN R50 R100 M1L M1R M3L M3R M4L M4R M5L M5R HMIX1. 31.40 20.10 23.80 12.60 22.15 11.25 21.35 10.65 14.67 121.90 19.600 31.02. 32.45 18.95 24.70 11.80 22.95 10.35 22.10 9.90 10.92 114.60 19.100 31.53. 33.55 17.95 25.50 10.90 23.80 9.50 22.90 9.20 9.48 116.90 19.260 32.0

250

4. 34.65 16.85 26.40 9.90 24.70 8.70 23.60 8.40 8.38 117.30 19.290 32.55. 36.80 14.75 28.20 8.10 26.40 6.90 25.30 6.80 7.14 118.90 19.320 33.0SN M6L M6R M7L M7R M8L M8R M9L M9R TM HC W TC1. 31.60 19.90 23.85 12.55 22.25 11.15 21.45 10.55 14.23 120.20 19.500 29.82. 32.35 19.15 24.45 11.95 22.80 10.60 21.95 10.05 11.36 113.20 19.000 30.33. 33.95 17.55 25.90 10.50 24.20 9.20 23.20 8.80 9.02 107.60 19.250 31.04. 34.75 16.75 26.60 9.70 24.90 8.50 23.85 8.25 7.86 111.30 18.780 31.55. 36.70 14.80 28.25 8.15 26.45 6.95 25.25 6.85 6.86 111.70 18.780 32.0




1. 31.20 20.30 23.55 12.85 21.90 11.40 21.15 10.85 14.55 105.60 18.330 31.32. 32.45 18.95 24.60 11.70 22.90 10.40 22.10 9.80 10.32 104.30 18.450 31.83. 33.90 17.60 25.80 10.50 24.00 9.20 23.10 8.80 8.76 105.40 18.520 32.14. 35.10 16.30 26.85 9.45 25.05 8.25 24.00 7.90 7.83 111.30 18.960 32.7






SN M6L M6R M7L M7R M8L M8R M9L M9R TM HC W TC1. 31.85 19.65 24.10 12.20 22.60 10.90 21.70 10.30 13.10 114.80 19.000 33.0

251

2. 33.25 18.25 25.25 11.15 23.65 9.85 22.65 9.35 10.07 114.80 19.050 33.53. 35.65 15.65 27.35 8.85 24.70 7.70 24.60 6.40 7.73 117.30 19.200 34.04. 36.40 15.00 27.95 8.35 26.25 6.25 25.00 6.90 6.94 106.40 18.330 34.85. 38.35 13.15 29.65 6.55 27.75 5.45 26.65 5.25 6.30 111.80 18.700 35.1





PROGRAM OUTPUT:Table I.43 Pressures at salient points on jet pump and transport

pipe for water-water pumping: Y-WW-P.OUTP1 P2 P3 P4 P5 P6 P7 P8 P9 U3Pa Pa Pa Pa Pa Pa Pa Pa Pa m/s

220238 16474 -4004. 10138. 40184. 26460. 16843. 13301. 9822. 1.92171362 17671 4325. 15761. 37445. 23838. 14453. 11155. 7802. 1.67143181 17859 8592. 18425. 36292. 22171. 12987. 9756. 6521. 1.47110484 17858 13236. 21989. 34634. 20966. 12028. 8858. 5762. 1.23218073 16888 4654. 12833. 39224. 26573. 16808. 13449. 9960. 1.97194867 18145 7174. 14610. 38252. 25356. 15849. 12365. 8825. 1.82176163 17460 8851. 16255. 37415. 24325. 14826. 11404. 8172. 1.75146930 18037 11515. 18917. 36263. 22663. 13417. 10123. 7029. 1.55118311 18228 14688. 24922. 34920. 21261. 12275. 9109. 6006. 1.30228424 17857 2357. 14480. 40870. 28283. 18266. 14592. 10981. 2.15188427 18243 7571. 17024. 38822. 25733. 16231. 12675. 9202. 1.90158237 18529 10878. 18547. 37295. 23945. 14440. 11277. 7923. 1.70136718 18331 12911. 20579. 36142. 22794. 13424. 10262. 7025. 1.56222788 17840 3881. 22475. 40455. 27804. 17872. 14446. 10707. 2.11198227 18225 7055. 23235. 39431. 26411. 16847. 13304. 9641. 2.01161872 18224 11124. 24881. 37515. 24119. 14688. 11528. 8048. 1.73134770 18123 13664. 26025. 36113. 22461. 13155. 10056. 6770. 1.54209071 17284 6945. 23662. 40523. 27664. 17905. 15449. 9776. 2.11196796 17474 8344. 24420. 39743. 26387. 16494. 13069. 9589. 1.97158397 18150 11270. 24971. 38078. 24532. 14967. 11670. 8380. 1.78139696 17854 13813. 27972. 36413. 22428. 13181. 10007. 6779. 1.47112580 17848 16345. 29358. 34875. 21082. 12026. 8915. 5698. 1.29127213 18450 4264. 21849. 39308. 24741. 15144. 11685. 8341. 1.85150189 18249 -2614. 18154. 41838. 26903. 17045. 13341. 9994. 2.13183389 18150 -11527. 13059. 45398. 30073. 19717. 16009. 12280. 2.42201418 18341 -17126. 10255. 47808. 32232. 21495. 17661. 13938. 2.64125643 18630 8843. 18146. 40545. 25995. 16264. 12816. 9353. 1.99154616 18433 2356. 12034. 44486. 29545. 19184. 15614. 11496. 2.38176329 18334 -3630. 7839. 47413. 32347. 21478. 17904. 13932. 2.63216744 18428 -12536. -1578. 52745. 36791. 25419. 20544. 17361. 2.94101269 18454 15100. 23770. 37528. 22826. 13732. 10413. 7192. 1.49124149 18451 13182. 19813. 40331. 25635. 15768. 12318. 8974. 1.91158890 18351 6302. 13064. 44900. 30019. 19460. 15887. 12412. 2.39184814 18347 697. 7844. 48078. 32502. 21747. 17916. 14069. 2.60214747 18151 -6434. 1477. 52016. 36064. 24801. 20848. 16865. 2.9181885 18855 18293. 29131. 34493. 20546. 11583. 8375. 5274. 1.26142236 18460 8723. 21219. 42379. 27167. 17178. 13721. 10111. 2.14173251 18458 2604. 17016. 46321. 30478. 19980. 16273. 12404. 2.44233468 17871 -9628. 8093. 54079. 37418. 25837. 21494. 17559. 3.13

252

102544 18068 13951. 28485. 37157. 22580. 13423. 9905. 6816. 1.57127233 18357 12797. 27206. 40332. 25380. 15776. 12075. 8853. 1.97154182 18062 11205. 25163. 43892. 28763. 18448. 14615. 11272. 2.29183436 18837 9104. 21084. 47708. 31745. 21121. 17161. 13563. 2.58216124 18737 2225. 16118. 51521. 35429. 24306. 20093. 16108. 2.84100708 18736 8470. 15485. 38650. 25045. 14342. 12181. 8574. 1.90133265 18442 -190. 5551. 42219. 28923. 17778. 15230. 11563. 2.27151807 18631 -5281. -683. 44755. 31589. 20065. 17390. 13215. 2.54189267 18431 -16479. -12513. 49195. 36292. 24253. 21080. 17019. 2.84217348 18331 -24619. -21418. 52486. 39595. 28776. 23881. 19377. 3.05100474 18631 11899. 16752. 37881. 24526. 14978. 11667. 8311. 1.80131744 18532 4515. 6313. 42326. 28784. 18662. 15097. 11488. 2.26154739 18528 -1594. -1579. 45886. 32281. 21453. 17767. 13908. 2.52218638 18523 -17237. -17089. 54904. 40601. 28703. 24636. 20260. 3.08104805 18621 11261. 15111. 39009. 25342. 15605. 12424. 8816. 1.88134035 18134 4645. 6581. 42686. 29152. 19034. 15471. 11731. 2.29153475 18423 -1085. -1937. 46496. 32577. 21820. 18272. 14278. 2.55131674 18541 9269. 7230. 42484. 28294. 18162. 14732. 10984. 2.19160434 18342 574. -1430. 46920. 32993. 22038. 18284. 14490. 2.58188377 18243 -7064. -11859. 51121. 36239. 25153. 21088. 16846. 2.78223330 18047 -16228. -24077. 56585. 41388. 29478. 25032. 20908. 3.13105181 18546 13822. 14874. 38693. 25367. 15874. 12433. 8949. 1.88126421 18350 10348. 9391. 41717. 27789. 17910. 14277. 10731. 2.13156764 18438 2479. -920. 46403. 32354. 21594. 17906. 14163. 2.52191217 18054 -4519. -11872. 51131. 36570. 25292. 21353. 17350. 2.79219561 18047 -11910. -21663. 54371. 40373. 28586. 24394. 20148. 3.07

Table I.44 Pressures at salient points on jet pump and transportpipe for water sand slurry pumping

P1 P2 P3 P4 P5 P6 P7 P8 P9 U3Pa Pa Pa Pa Pa Pa Pa Pa Pa m/s

94995 18350 17642. 28486. 35154. 20916. 11924. 8871. 5764. 0.96124223 18443 15091. 23906. 36674. 22435. 13067. 9756. 6526. 1.30162493 18537 11269. 18932. 38324. 24464. 14970. 11541. 8180. 1.65195406 18436 7453. 14981. 39965. 26495. 16871. 13438. 10083. 1.90215459 18237 4642. 13206. 40724. 27756. 17885. 14331. 10722. 2.0496871 18625 17881. 28594. 35124. 21016. 11904. 8986. 5759. 0.97125017 18428 15711. 24264. 36646. 22413. 13175. 10002. 6648. 1.35159638 17649 11637. 19558. 38421. 24317. 14826. 11400. 8169. 1.66191909 18455 8730. 14928. 40400. 26528. 16517. 13080. 9721. 1.88216308 18352 5283. 12959. 41524. 27921. 17908. 14472. 10865. 2.05120746 18630 17122. 25037. 36284. 21983. 12186. 9497. 6274. 1.24152662 17656 13424. 20839. 37806. 23696. 14069. 10703. 7541. 1.57193626 17847 9095. 15368. 39958. 26359. 16612. 13189. 9581. 1.91221122 17454 5663. 11802. 41602. 28520. 18012. 14204. 10535. 2.01102161 18675 17674. 28160. 35856. 21460. 12323. 9142. 6029. 1.02133627 18575 14599. 23563. 37381. 22982. 13597. 10284. 7049. 1.40158058 18473 11539. 19863. 39025. 24762. 15252. 11685. 8450. 1.67194539 18371 7584. 15778. 40418. 26669. 16651. 12011. 9846. 1.83221950 18173 3880. 12337. 41685. 28326. 18173. 14612. 11119. 2.04108236 18461 17523. 27621. 36196. 21820. 12566. 9388. 6155. 1.13134976 18849 15483. 23541. 37474. 22956. 13585. 10279. 6920. 1.39151497 18360 13441. 21376. 38360. 24109. 14474. 11038. 7683. 1.73192071 18257 8723. 15763. 40452. 26640. 16758. 13200. 9842. 1.87225813 18448 4391. 11557. 42291. 28688. 18539. 14981. 11241. 2.10105138 17957 18015. 28735. 35528. 21162. 12298. 9119. 5890. 1.02143538 18634 15588. 22497. 37810. 23445. 13952. 10518. 7289. 1.48151525 18535 14568. 20967. 38066. 23764. 14332. 10899. 7670. 1.58191956 18533 10244. 15241. 40347. 26500. 16490. 13184. 9701. 1.90228891 18431 5528. 10462. 42373. 27585. 18649. 15089. 11481. 2.1295794 18650 17650. 29906. 35175. 20921. 11925. 8870. 5766. 0.92136233 18451 14334. 23407. 37711. 23205. 13706. 9177. 7044. 1.40165744 18254 12377. 19582. 39238. 24735. 15105. 11674. 8189. 1.66194231 18348 8216. 15891. 40374. 26259. 16248. 12814. 9207. 1.84222579 18053 4257. 11558. 41638. 28163. 16578. 14344. 10733. 2.05107302 18832 18015. 29244. 36547. 21926. 12676. 9501. 6144. 1.03127463 18440 16484. 24788. 37433. 22813. 13437. 10009. 6648. 1.35171954 18534 12408. 18929. 40095. 25606. 15599. 12039. 8556. 1.67186920 18436 10753. 18370. 40734. 26368. 16240. 12929. 9319. 1.79228844 18237 5089. 10656. 42760. 29293. 18781. 15222. 11613. 2.12102294 18653 18673. 29147. 35692. 21303. 12309. 9132. 5895. 1.01135268 18455 17140. 25064. 37851. 23215. 13709. 10404. 7045. 1.37157740 17965 14711. 21746. 38730. 24352. 14592. 11289. 7803. 1.56182931 18254 12666. 18176. 40120. 25881. 15869. 12495. 8949. 1.76222227 18251 8211. 11938. 42416. 28679. 18409. 14602. 10985. 2.05-30478 18144 15717. 28196. 37363. 22553. 12964. 9639. 6553. 1.43122007 18433 12406. 24630. 40098. 24969. 15126. 11674. 8334. 1.78148697 18625 7569. 20555. 43082. 27837. 17670. 14025. 10619. 2.16187966 17943 -830. 14322. 48292. 32464. 21611. 17779. 13930. 2.57206604 18231 -4392. 11775. 50192. 33741. 22498. 18412. 14437. 2.5996707 18740 17511. 28726. 36287. 22697. 13091. 10429. 6298. 1.39117564 18543 14829. 25797. 40436. 24986. 14999. 11550. 8207. 1.76

253

155963 18734 7064. 17815. 45518. 29693. 19072. 15495. 11649. 2.26174330 18733 3498. 16114. 47683. 31468. 20720. 17022. 12916. 2.42214083 18268 -4401. 10269. 52594. 35717. 24319. 20361. 16246. 2.7694790 18849 19306. 29254. 37668. 22201. 12972. 9524. 6302. 1.38118714 18749 16245. 26191. 40334. 24996. 15141. 11684. 8212. 1.75144787 18552 11655. 22110. 43513. 27673. 17300. 13849. 10127. 2.05170725 18451 6812. 17775. 46814. 30472. 19713. 16017. 12032. 2.33213115 18060 -1973. 10903. 52543. 35883. 24295. 20468. 16238. 2.7796614 18856 17019. 28377. 36359. 22719. 13104. 9783. 6559. 1.40112520 18756 14466. 25946. 39844. 24628. 14632. 11184. 7833. 1.66150817 18655 6561. 19190. 44678. 28701. 18325. 14750. 11018. 2.00165302 18652 3501. 16383. 46833. 30736. 20229. 16532. 12550. 2.37210377 18649 -6693. 8481. 51207. 35700. 24308. 20479. 16116. 2.7296707 18740 17511. 28726. 36287. 22697. 13091. 10429. 6298. 1.39117564 18543 14829. 25797. 40436. 24986. 14999. 11550. 8207. 1.76155963 18734 7064. 17815. 45518. 29693. 19072. 15495. 11649. 2.26174330 18733 3498. 16114. 47683. 31468. 20720. 17022. 12916. 2.42214083 18268 -4401. 10269. 52594. 35717. 24319. 20361. 16246. 2.7694790 18849 19306. 29254. 37668. 22201. 12972. 9524. 6302. 1.38118714 18749 16245. 26191. 40334. 24996. 15141. 11684. 8212. 1.75144787 18552 11655. 22110. 43513. 27673. 17300. 13849. 10127. 2.05170725 18451 6812. 17775. 46814. 30472. 19713. 16017. 12032. 2.33213115 18060 -1973. 10903. 52543. 35883. 24295. 20468. 16238. 2.7792824 18060 17124. 29358. 37258. 22315. 12836. 9386. 6298. 1.33118502 18446 13810. 25533. 40431. 25113. 15122. 11672. 8330. 1.69143431 18444 8970. 21078. 43616. 28035. 17667. 13963. 10367. 2.03171040 18540 3112. 15606. 47178. 31221. 20468. 16637. 12918. 2.38207725 18343 -5038. 9493. 51506. 35297. 23903. 19950. 15717. 2.6985803 18847 18795. 29506. 36518. 21689. 12333. 9009. 5792. 1.22115960 18553 15601. 25801. 40325. 24994. 15130. 11556. 8334. 1.70149440 18648 9871. 20070. 44536. 28564. 18186. 14480. 10882. 2.02178031 18450 4264. 14848. 47835. 31739. 20858. 17030. 13173. 2.3894717 18666 20594. 29140. 37309. 22342. 12847. 9525. 6306. 1.32113933 18858 17908. 26717. 39976. 24502. 14508. 11054. 7708. 1.55139410 18660 14080. 21868. 43290. 27435. 17178. 13602. 10001. 1.97174657 18659 7837. 15624. 47488. 31257. 20496. 16661. 12805. 2.32207838 18655 1207. 9503. 51311. 34942. 23418. 19716. 15479. 2.5983025 18836 16746. 23762. 37388. 23077. 11292. 10267. 7037. 1.46114192 18445 10254. 13703. 41326. 27018. 14210. 13710. 10088. 2.04147267 18443 2103. 2750. 45905. 31598. 18033. 17141. 13398. 2.29175088 18634 -5160. -7436. 49987. 35408. 21973. 20199. 16197. 2.75204457 18534 -13052. -17741. 54288. 39990. 26552. 24015. 19886. 3.2088264 18826 16869. 23577. 38267. 23706. 12050. 10903. 7548. 1.60129959 18531 8466. 9113. 43225. 28788. 16370. 14974. 11360. 2.21168443 18234 -1085. -3614. 48801. 33996. 20946. 19164. 15174. 2.64193958 18620 -7191. -12132. 52492. 37746. 24373. 22214. 18097. 2.87217201 18520 -13805. -21279. 55918. 40977. 27167. 24627. 20384. 2.9985229 18554 19435. 23906. 37416. 23089. 12695. 10150. 6914. 1.46112203 18452 13947. 15614. 41092. 26646. 15877. 13073. 9715. 1.99145894 18447 7320. 5298. 45285. 30715. 19434. 16509. 12642. 2.38172075 18444 829. -3230. 49234. 34152. 22487. 19307. 15309. 2.63217961 18537 -11271. -20413. 56083. 40699. 27834. 24650. 20148. 2.8790466 18532 15462. 21578. 38509. 24071. 14208. 11157. 7664. 1.62120590 18821 9096. 11779. 41939. 27890. 17509. 14204. 10590. 2.09146514 18139 2733. 3257. 45497. 31073. 20184. 16625. 12880. 2.30178428 18457 -4145. -5659. 49779. 35579. 24307. 20483. 16369. 2.66213755 18354 -14336. -18387. 56118. 40918. 28885. 24558. 20180. 2.9684238 18448 18021. 24905. 37777. 23334. 13850. 10542. 7190. 1.46115389 18348 12414. 15609. 41587. 26896. 16655. 13215. 9608. 1.90158128 18443 2480. 967. 47938. 33249. 22245. 17234. 15798. 2.53175769 18049 -1849. -4125. 49718. 35028. 23645. 21054. 15710. 2.58209976 18825 -11014. -15704. 55055. 39867. 28093. 24014. 19909. 2.9793648 18628 18393. 22217. 38766. 24084. 14481. 11043. 7693. 1.63120843 17848 12913. 14833. 42196. 27262. 17273. 13587. 10105. 2.02144371 18625 7955. 6820. 45891. 30575. 18849. 16386. 12655. 2.33176501 18817 65. -3228. 49828. 34892. 23637. 19565. 15707. 2.64214879 18328 -9736. -15949. 56304. 40479. 28463. 24142. 20030. 2.9992648 18631 16105. 24512. 39154. 24215. 14483. 11045. 7694. 1.61119211 18823 10879. 17890. 42579. 27648. 17403. 13843. 10239. 2.03149062 18752 4654. 13204. 47860. 32275. 21256. 17304. 13440. 2.39174871 18235 -3498. 2748. 51598. 35652. 24397. 20452. 16217. 2.66209641 18457 -10385. -2468. 56656. 40299. 28262. 23923. 19564. 2.9998983 18444 16743. 21163. 39552. 24857. 14998. 11559. 8075. 1.71114981 18634 13532. 18659. 41833. 26888. 16645. 13206. 9733. 1.92149319 18632 6808. 6411. 46912. 31718. 20849. 17147. 13042. 2.37180415 18630 -699. 844. 51494. 36174. 24660. 21330. 16477. 2.70211825 18625 -20. -7433. 56316. 39983. 27963. 23890. 19649. 3.0292068 18520 20163. 23730. 38233. 23687. 14085. 10782. 7561. 1.59124201 18420 13800. 14701. 42678. 27880. 10304. 14087. 10485. 2.09148591 18321 8204. 6948. 46107. 31057. 20313. 16502. 12778. 2.36178795 18416 1591. -1822. 50801. 35244. 23993. 20314. 16082. 2.70215380 17832 -7563. -12379. 55378. 39696. 27682. 23745. 19509. 3.04

254

Table I.45 Flow rates of Primary, Secondary and Tertiary flowsQ1 Q2W Q2S Q2 Q3W Q3S Q3 CV2 CV3 U3 RElps lps lps lps lps lps lps % % m/s -

0.410 0.064 0.010 0.074 0.474 0.010 0.484 13.633 2.075 0.96 31863.0.470 0.174 0.015 0.189 0.645 0.015 0.660 7.949 2.282 1.30 44044.0.537 0.284 0.017 0.301 0.821 0.017 0.838 5.646 2.029 1.65 56524.0.582 0.364 0.016 0.380 0.946 0.016 0.962 4.153 1.640 1.90 65775.0.609 0.402 0.021 0.423 1.011 0.021 1.032 4.939 2.026 2.04 71683.0.412 0.072 0.010 0.082 0.484 0.010 0.494 12.651 2.099 0.97 34310.0.470 0.197 0.015 0.211 0.667 0.015 0.682 6.956 2.156 1.35 47801.0.529 0.295 0.018 0.313 0.823 0.018 0.841 5.763 2.142 1.66 59584.0.579 0.352 0.022 0.373 0.930 0.022 0.952 5.791 2.271 1.88 60791.0.617 0.399 0.022 0.422 1.016 0.022 1.039 5.257 2.134 2.05 67686.0.465 0.151 0.012 0.163 0.616 0.012 0.628 7.261 1.881 1.24 42944.0.519 0.266 0.010 0.276 0.785 0.010 0.795 3.682 1.280 1.57 54784.0.587 0.367 0.012 0.379 0.954 0.012 0.966 3.224 1.265 1.91 67359.0.617 0.390 0.013 0.403 1.007 0.013 1.020 3.291 1.301 2.01 72265.0.432 0.073 0.013 0.086 0.505 0.013 0.518 15.244 2.525 1.02 30206.0.494 0.193 0.020 0.213 0.686 0.020 0.707 9.596 2.894 1.40 41683.0.534 0.286 0.024 0.310 0.819 0.024 0.844 7.899 2.903 1.67 50609.0.587 0.316 0.026 0.342 0.903 0.026 0.929 7.559 2.782 1.83 56662.0.629 0.376 0.029 0.405 1.005 0.029 1.034 7.175 2.812 2.04 63867.0.440 0.112 0.020 0.132 0.553 0.020 0.572 14.941 3.446 1.13 35802.0.494 0.186 0.023 0.209 0.680 0.023 0.703 10.979 3.265 1.39 44137.0.520 0.332 0.027 0.358 0.852 0.027 0.879 7.401 3.018 1.73 55760.0.580 0.340 0.029 0.369 0.920 0.029 0.950 7.973 3.101 1.87 61521.0.629 0.403 0.030 0.434 1.032 0.030 1.062 6.993 2.855 2.10 69526.0.437 0.067 0.014 0.081 0.504 0.014 0.518 17.447 2.734 1.02 34598.0.504 0.225 0.024 0.249 0.728 0.024 0.752 9.651 3.190 1.48 50732.0.519 0.259 0.022 0.281 0.778 0.022 0.800 7.709 2.709 1.58 54254.0.579 0.359 0.024 0.383 0.937 0.024 0.962 6.377 2.540 1.90 65760.0.629 0.412 0.031 0.443 1.041 0.031 1.072 7.041 2.911 2.12 74449.0.415 0.036 0.014 0.050 0.451 0.014 0.466 28.711 3.095 0.92 29727.0.495 0.186 0.028 0.214 0.681 0.028 0.709 12.908 3.890 1.40 45929.0.537 0.270 0.033 0.303 0.807 0.033 0.840 10.913 3.937 1.66 54972.0.582 0.315 0.036 0.351 0.897 0.036 0.933 10.293 3.873 1.84 61678.0.622 0.379 0.036 0.415 1.001 0.036 1.037 8.688 3.477 2.05 69516.0.437 0.064 0.023 0.087 0.501 0.023 0.524 26.604 4.429 1.03 35004.0.484 0.172 0.028 0.200 0.655 0.028 0.683 14.060 4.110 1.35 46089.0.547 0.256 0.042 0.298 0.803 0.042 0.845 14.045 4.957 1.67 57574.0.570 0.295 0.043 0.338 0.865 0.043 0.908 12.669 4.713 1.79 62100.0.629 0.398 0.045 0.443 1.026 0.045 1.072 10.247 4.237 2.12 74448.0.427 0.070 0.016 0.086 0.497 0.016 0.513 18.624 3.108 1.01 32329.0.492 0.168 0.031 0.200 0.660 0.031 0.692 15.721 4.539 1.37 44172.0.530 0.228 0.033 0.262 0.759 0.033 0.792 12.658 4.181 1.56 51296.0.567 0.288 0.036 0.324 0.855 0.036 0.891 11.003 3.999 1.76 58291.0.620 0.388 0.030 0.418 1.008 0.030 1.038 7.236 2.913 2.05 68640.0.592 0.117 0.016 0.133 0.709 0.016 0.725 11.858 2.176 1.43 49672.0.654 0.232 0.017 0.249 0.885 0.017 0.902 6.818 1.879 1.78 62186.0.720 0.350 0.022 0.372 1.070 0.022 1.093 5.950 2.027 2.16 75881.0.820 0.458 0.023 0.481 1.278 0.023 1.301 4.689 1.732 2.57 91239.0.874 0.414 0.026 0.440 1.287 0.026 1.313 5.860 1.961 2.59 93003.0.604 0.123 0.023 0.146 0.727 0.023 0.750 15.570 3.037 1.48 45175.0.685 0.259 0.026 0.285 0.945 0.026 0.971 9.086 2.672 1.92 58976.0.775 0.378 0.027 0.405 1.153 0.027 1.180 6.697 2.297 2.33 72302.0.892 0.442 0.033 0.475 1.334 0.033 1.367 6.931 2.410 2.70 84299.0.940 0.509 0.032 0.540 1.449 0.032 1.481 5.853 2.136 2.92 92047.0.617 0.148 0.009 0.157 0.765 0.009 0.774 5.701 1.157 1.53 43707.0.685 0.282 0.015 0.298 0.968 0.015 0.983 5.109 1.547 1.94 56116.0.770 0.356 0.017 0.373 1.127 0.017 1.143 4.428 1.444 2.26 65979.0.887 0.423 0.019 0.442 1.310 0.019 1.329 4.272 1.420 2.62 77353.0.929 0.486 0.022 0.508 1.415 0.022 1.437 4.301 1.521 2.84 85083.0.590 0.100 0.021 0.120 0.690 0.021 0.711 17.283 2.928 1.40 43544.0.637 0.179 0.028 0.206 0.816 0.028 0.843 13.426 3.286 1.66 52217.0.745 0.190 0.080 0.270 0.935 0.080 1.015 29.655 7.879 2.00 63759.0.779 0.387 0.034 0.422 1.166 0.034 1.201 8.172 2.872 2.37 76200.0.899 0.444 0.037 0.481 1.343 0.037 1.380 7.682 2.680 2.72 88492.0.587 0.096 0.020 0.116 0.683 0.020 0.703 17.194 2.828 1.39 45972.0.650 0.211 0.029 0.240 0.861 0.029 0.890 12.219 3.294 1.76 58852.0.745 0.367 0.032 0.399 1.112 0.032 1.145 8.124 2.835 2.26 76435.0.799 0.385 0.043 0.428 1.183 0.043 1.226 10.063 3.509 2.42 82364.0.914 0.437 0.047 0.484 1.350 0.047 1.398 9.792 3.391 2.76 86896.0.584 0.095 0.019 0.115 0.679 0.019 0.698 16.726 2.745 1.38 43862.0.654 0.205 0.029 0.234 0.858 0.029 0.887 12.291 3.235 1.75 56307.0.724 0.284 0.032 0.317 1.008 0.032 1.040 10.189 3.102 2.05 66712.0.789 0.355 0.037 0.392 1.144 0.037 1.181 9.337 3.100 2.33 76477.0.904 0.464 0.035 0.499 1.367 0.035 1.403 7.097 2.525 2.77 91788.0.579 0.071 0.026 0.097 0.650 0.026 0.676 26.817 3.846 1.33 44206.0.657 0.159 0.040 0.199 0.816 0.040 0.856 19.878 4.618 1.69 56571.0.725 0.256 0.045 0.301 0.981 0.045 1.027 15.047 4.417 2.03 68277.0.817 0.342 0.046 0.389 1.159 0.046 1.206 11.880 3.829 2.38 80493.0.899 0.415 0.048 0.463 1.314 0.048 1.362 10.412 3.542 2.69 91656.0.550 0.051 0.018 0.068 0.601 0.018 0.619 25.817 2.856 1.22 39111.0.645 0.180 0.038 0.217 0.825 0.038 0.863 17.293 4.359 1.70 55099.0.737 0.246 0.043 0.289 0.983 0.043 1.026 15.038 4.236 2.02 65925.0.820 0.337 0.048 0.385 1.157 0.048 1.205 12.547 4.007 2.38 78390.0.570 0.079 0.019 0.098 0.649 0.019 0.668 19.309 2.822 1.32 40238.

255

0.644 0.110 0.033 0.143 0.753 0.033 0.787 23.276 4.230 1.55 47889.0.709 0.247 0.041 0.287 0.955 0.041 0.996 14.135 4.079 1.97 61281.0.800 0.330 0.044 0.375 1.131 0.044 1.175 11.797 3.761 2.32 72738.0.895 0.377 0.041 0.419 1.272 0.041 1.314 9.880 3.147 2.59 82530.0.654 0.073 0.014 0.088 0.727 0.014 0.741 16.205 1.916 1.46 48706.0.782 0.233 0.018 0.251 1.015 0.018 1.033 7.227 1.757 2.04 68437.0.920 0.221 0.021 0.242 1.141 0.021 1.162 8.547 1.777 2.29 77580.1.002 0.368 0.021 0.390 1.370 0.021 1.392 5.493 1.538 2.75 93851.1.092 0.504 0.028 0.532 1.596 0.028 1.624 5.194 1.700 3.20 110573.0.670 0.122 0.016 0.138 0.792 0.016 0.808 11.853 2.025 1.60 55062.0.834 0.266 0.021 0.287 1.100 0.021 1.121 7.298 1.868 2.21 77068.0.970 0.344 0.025 0.369 1.315 0.025 1.339 6.644 1.830 2.64 93918.1.050 0.379 0.025 0.403 1.429 0.025 1.454 6.160 1.709 2.87 102951.1.120 0.368 0.028 0.396 1.488 0.028 1.516 7.080 1.849 2.99 108418.0.660 0.069 0.013 0.082 0.729 0.013 0.742 16.276 1.795 1.46 47202.0.770 0.223 0.016 0.239 0.994 0.016 1.009 6.614 1.567 1.99 65258.0.902 0.283 0.020 0.303 1.185 0.020 1.205 6.577 1.654 2.38 79168.0.987 0.324 0.024 0.348 1.311 0.024 1.335 6.762 1.761 2.63 88749.1.112 0.318 0.022 0.340 1.430 0.022 1.452 6.356 1.489 2.87 97920.0.687 0.113 0.021 0.135 0.800 0.021 0.822 15.817 2.595 1.62 56302.0.809 0.226 0.026 0.252 1.035 0.026 1.061 10.306 2.448 2.09 73380.0.917 0.223 0.024 0.247 1.140 0.024 1.164 9.764 2.071 2.30 81155.1.017 0.298 0.034 0.332 1.315 0.034 1.349 10.136 2.495 2.66 85627.1.122 0.354 0.025 0.379 1.476 0.025 1.501 6.574 1.659 2.96 97219.0.660 0.062 0.019 0.080 0.722 0.019 0.741 23.441 2.543 1.46 48470.0.790 0.146 0.028 0.173 0.936 0.028 0.964 15.921 2.862 1.90 63693.0.942 0.305 0.033 0.338 1.247 0.033 1.280 9.773 2.580 2.53 85452.0.995 0.278 0.033 0.311 1.273 0.033 1.306 10.604 2.523 2.58 88599.1.100 0.371 0.033 0.404 1.471 0.033 1.504 8.116 2.178 2.97 102630.0.694 0.109 0.025 0.134 0.803 0.025 0.828 18.560 3.007 1.63 56934.0.810 0.184 0.031 0.215 0.994 0.031 1.025 14.441 3.025 2.02 71196.0.907 0.242 0.031 0.273 1.149 0.031 1.180 11.283 2.607 2.33 81931.0.995 0.316 0.028 0.344 1.311 0.028 1.339 8.124 2.087 2.64 93943.1.099 0.377 0.037 0.415 1.476 0.037 1.513 9.035 2.476 2.99 107181.0.702 0.082 0.031 0.114 0.784 0.031 0.816 27.510 3.834 1.61 55551.0.804 0.187 0.041 0.227 0.990 0.041 1.031 17.893 3.944 2.03 70906.0.904 0.260 0.048 0.308 1.163 0.048 1.212 15.637 3.974 2.39 76110.1.012 0.285 0.053 0.338 1.297 0.053 1.350 15.566 3.895 2.66 94301.1.104 0.360 0.054 0.414 1.464 0.054 1.517 12.976 3.538 2.99 96305.0.722 0.118 0.027 0.145 0.840 0.027 0.867 18.417 3.081 1.71 57543.0.790 0.150 0.034 0.184 0.940 0.034 0.974 18.437 3.483 1.92 65709.0.920 0.238 0.042 0.281 1.159 0.042 1.201 15.131 3.537 2.37 81481.1.007 0.315 0.048 0.363 1.322 0.048 1.370 13.144 3.483 2.70 93678.1.110 0.358 0.061 0.419 1.468 0.061 1.529 14.486 3.966 3.02 106192.0.687 0.096 0.024 0.121 0.783 0.024 0.808 20.137 3.005 1.59 57740.0.834 0.192 0.033 0.225 1.026 0.033 1.059 14.514 3.085 2.09 76432.0.914 0.243 0.037 0.280 1.156 0.037 1.194 13.352 3.134 2.36 86686.1.005 0.320 0.043 0.362 1.325 0.043 1.368 11.739 3.110 2.70 100065.1.112 0.391 0.036 0.427 1.503 0.036 1.539 8.481 2.353 3.04 113241.

Table I.46 Mass flow rates of Primary, Secondary and Tertiary flowsM1 M2W M2S M2 M3W M3S M3 CW2 CW3 ROM3 ROWW

kg/s kg/s kg/s kg/s kg/s kg/s kg/s % % kg/m kg/m0.4076 0.0632 0.0268 0.0900 0.4708 0.0268 0.4976 29.7619 5.3811 1028 9930.4671 0.1731 0.0401 0.2132 0.6402 0.0401 0.6803 18.8219 5.8991 1031 9930.5332 0.2822 0.0454 0.3276 0.8155 0.0454 0.8608 13.8448 5.2684 1027 9930.5778 0.3616 0.0421 0.4036 0.9394 0.0421 0.9814 10.4250 4.2876 1020 9930.6041 0.3995 0.0558 0.4552 1.0036 0.0558 1.0593 12.2479 5.2633 1026 9930.4089 0.0711 0.0277 0.0987 0.4800 0.0277 0.5076 28.0104 5.4473 1028 9930.4667 0.1950 0.0392 0.2342 0.6618 0.0392 0.7009 16.7281 5.5891 1028 9920.5245 0.2924 0.0481 0.3404 0.8169 0.0481 0.8650 14.1155 5.5554 1028 9920.5751 0.3495 0.0576 0.4071 0.9246 0.0576 0.9822 14.1581 5.8686 1032 9940.6130 0.3968 0.0591 0.4559 1.0098 0.0591 1.0689 12.9619 5.5283 1029 9940.4620 0.1498 0.0315 0.1813 0.6118 0.0315 0.6433 17.3753 4.8977 1024 9930.5149 0.2642 0.0271 0.2913 0.7790 0.0271 0.8061 9.3125 3.3649 1014 9930.5826 0.3640 0.0326 0.3966 0.9466 0.0326 0.9792 8.2149 3.3274 1014 9920.6122 0.3871 0.0354 0.4225 0.9993 0.0354 1.0347 8.3781 3.4211 1014 9920.4299 0.0723 0.0347 0.1071 0.5023 0.0347 0.5370 32.4334 6.4674 1037 9950.4912 0.1918 0.0543 0.2461 0.6830 0.0543 0.7373 22.0775 7.3693 1043 9950.5309 0.2840 0.0650 0.3491 0.8149 0.0650 0.8800 18.6333 7.3920 1043 9950.5838 0.3142 0.0686 0.3828 0.8980 0.0686 0.9666 17.9251 7.0991 1041 9950.6251 0.3739 0.0772 0.4511 0.9990 0.0772 1.0762 17.1136 7.1734 1041 9940.4378 0.1116 0.0524 0.1640 0.5494 0.0524 0.6017 31.9404 8.7041 1051 9940.4907 0.1849 0.0609 0.2459 0.6757 0.0609 0.7366 24.7849 8.2727 1048 9940.5172 0.3297 0.0704 0.4001 0.8469 0.0704 0.9173 17.5992 7.6767 1044 9940.5766 0.3378 0.0782 0.4160 0.9144 0.0782 0.9926 18.8034 7.8801 1045 9940.6246 0.4008 0.0806 0.4814 1.0254 0.0806 1.1060 16.7363 7.2851 1041 9930.4340 0.0666 0.0376 0.1042 0.5006 0.0376 0.5382 36.1105 6.9911 1039 9930.5001 0.2231 0.0637 0.2868 0.7232 0.0637 0.7869 22.2219 8.0991 1046 9930.5150 0.2576 0.0576 0.3152 0.7726 0.0576 0.8301 18.2625 6.9332 1038 9930.5745 0.3561 0.0649 0.4210 0.9306 0.0649 0.9954 15.4133 6.5180 1035 9930.6240 0.4089 0.0829 0.4918 1.0329 0.0829 1.1158 16.8526 7.4283 1041 9930.4128 0.0356 0.0385 0.0740 0.4483 0.0385 0.4868 51.9711 7.9027 1046 9940.4922 0.1849 0.0736 0.2586 0.6771 0.0736 0.7507 28.4836 9.8103 1059 9940.5335 0.2682 0.0883 0.3565 0.8017 0.0883 0.8900 24.7699 9.9228 1059 9930.5781 0.3128 0.0965 0.4093 0.8909 0.0965 0.9874 23.5741 9.7726 1058 9930.6177 0.3764 0.0963 0.4727 0.9941 0.0963 1.0903 20.3714 8.8307 1051 9930.4340 0.0636 0.0620 0.1256 0.4976 0.0620 0.5596 49.3552 11.0796 1067 993

256

0.4803 0.1705 0.0750 0.2455 0.6508 0.0750 0.7258 30.5521 10.3350 1062 9930.5431 0.2546 0.1119 0.3665 0.7977 0.1119 0.9096 30.5294 12.3018 1076 9930.5662 0.2930 0.1143 0.4073 0.8592 0.1143 0.9735 28.0668 11.7422 1072 9930.6240 0.3948 0.1213 0.5161 1.0188 0.1213 1.1401 23.4979 10.6372 1064 9930.4244 0.0692 0.0425 0.1117 0.4936 0.0425 0.5362 38.0726 7.9337 1046 9940.4890 0.1673 0.0838 0.2511 0.6562 0.0838 0.7401 33.3863 11.3281 1070 9940.5269 0.2270 0.0884 0.3154 0.7539 0.0884 0.8423 28.0301 10.4949 1064 9940.5633 0.2863 0.0951 0.3814 0.8496 0.0951 0.9447 24.9421 10.0700 1061 9930.6162 0.3852 0.0808 0.4660 1.0014 0.0808 1.0822 17.3352 7.4649 1042 9930.5877 0.1164 0.0421 0.1585 0.7041 0.0421 0.7462 26.5444 5.6375 1029 9930.6489 0.2300 0.0452 0.2752 0.8789 0.0452 0.9241 16.4262 4.8926 1024 9930.7149 0.3474 0.0591 0.4065 1.0624 0.0591 1.1214 14.5282 5.2658 1026 9930.8141 0.4545 0.0601 0.5146 1.2686 0.0601 1.3287 11.6751 4.5219 1021 9920.8669 0.4106 0.0687 0.4793 1.2775 0.0687 1.3462 14.3303 5.1022 1025 9920.6005 0.1228 0.0607 0.1835 0.7233 0.0607 0.7840 33.0819 7.7449 1045 9950.6816 0.2581 0.0692 0.3272 0.9397 0.0692 1.0089 21.1333 6.8550 1039 9950.7710 0.3756 0.0723 0.4479 1.1466 0.0723 1.2189 16.1401 5.9307 1033 9940.8870 0.4399 0.0879 0.5278 1.3269 0.0879 1.4147 16.6464 6.2100 1035 9940.9349 0.5057 0.0843 0.5901 1.4406 0.0843 1.5250 14.2918 5.5299 1030 9940.6143 0.1475 0.0239 0.1714 0.7618 0.0239 0.7857 13.9351 3.0393 1015 9960.6822 0.2812 0.0406 0.3218 0.9634 0.0406 1.0040 12.6039 4.0394 1021 9950.7667 0.3548 0.0440 0.3988 1.1215 0.0440 1.1655 11.0417 3.7781 1019 9950.8827 0.4209 0.0503 0.4712 1.3036 0.0503 1.3539 10.6792 3.7167 1019 9950.9240 0.4837 0.0583 0.5419 1.4077 0.0583 1.4659 10.7490 3.9738 1020 9950.5871 0.0991 0.0553 0.1543 0.6861 0.0553 0.7414 35.8176 7.4562 1043 9940.6334 0.1777 0.0736 0.2513 0.8111 0.0736 0.8847 29.2924 8.3213 1049 9940.7409 0.1886 0.2124 0.4010 0.9295 0.2124 1.1419 52.9712 18.6013 1125 9940.7739 0.3851 0.0916 0.4767 1.1591 0.0916 1.2506 19.2120 7.3230 1042 9940.8931 0.4417 0.0982 0.5399 1.3347 0.0982 1.4329 18.1933 6.8546 1038 9940.5832 0.0950 0.0528 0.1478 0.6782 0.0528 0.7310 35.6974 7.2182 1040 9930.6460 0.2093 0.0779 0.2872 0.8553 0.0779 0.9331 27.1248 8.3476 1048 9930.7402 0.3645 0.0862 0.4507 1.1047 0.0862 1.1909 19.1251 7.2380 1040 9930.7931 0.3819 0.1143 0.4962 1.1750 0.1143 1.2893 23.0340 8.8647 1051 9930.9084 0.4342 0.1259 0.5601 1.3426 0.1259 1.4685 22.4790 8.5736 1051 9940.5802 0.0949 0.0509 0.1458 0.6751 0.0509 0.7260 34.9244 7.0122 1040 9940.6497 0.2036 0.0762 0.2798 0.8533 0.0762 0.9295 27.2449 8.2013 1048 9940.7192 0.2827 0.0857 0.3684 1.0018 0.0857 1.0876 23.2659 7.8811 1045 9940.7836 0.3531 0.0972 0.4503 1.1367 0.0972 1.2339 21.5872 7.8775 1045 9940.8978 0.4606 0.0941 0.5546 1.3583 0.0941 1.4524 16.9602 6.4767 1035 9930.5749 0.0704 0.0694 0.1398 0.6453 0.0694 0.7147 49.6200 9.7063 1058 9930.6526 0.1582 0.1055 0.2638 0.8108 0.1055 0.9164 40.0103 11.5168 1071 9930.7204 0.2543 0.1211 0.3754 0.9747 0.1211 1.0958 32.2572 11.0508 1067 9930.8114 0.3401 0.1233 0.4634 1.1515 0.1233 1.2748 26.6033 9.6699 1057 9930.8924 0.4121 0.1288 0.5409 1.3045 0.1288 1.4333 23.8106 8.9856 1052 9930.5470 0.0505 0.0472 0.0977 0.5975 0.0472 0.6447 48.3176 7.3190 1042 9940.6413 0.1788 0.1004 0.2792 0.8201 0.1004 0.9205 35.9700 10.9094 1067 9940.7324 0.2440 0.1161 0.3601 0.9764 0.1161 1.0925 32.2314 10.6237 1065 9940.8150 0.3344 0.1290 0.4634 1.1495 0.1290 1.2784 27.8284 10.0867 1061 9940.5673 0.0784 0.0503 0.1287 0.6457 0.0503 0.6960 39.1133 7.2319 1042 9950.6402 0.1091 0.0888 0.1979 0.7492 0.0888 0.8381 44.8890 10.6010 1065 9950.7047 0.2454 0.1085 0.3539 0.9501 0.1085 1.0586 30.6546 10.2480 1063 9940.7958 0.3285 0.1180 0.4465 1.1243 0.1180 1.2423 26.4266 9.4984 1057 9940.8900 0.3749 0.1104 0.4853 1.2650 0.1104 1.3754 22.7481 8.0273 1047 9940.6493 0.0730 0.0379 0.1108 0.7223 0.0379 0.7602 34.1712 4.9820 1025 9930.7767 0.2315 0.0484 0.2800 1.0083 0.0484 1.0567 17.2954 4.5823 1023 9930.9140 0.2195 0.0551 0.2745 1.1335 0.0551 1.1886 20.0591 4.6335 1023 9930.9950 0.3657 0.0571 0.4228 1.3607 0.0571 1.4178 13.5006 4.0263 1019 9931.0842 0.5003 0.0736 0.5739 1.5845 0.0736 1.6581 12.8261 4.4397 1021 9930.6655 0.1209 0.0437 0.1646 0.7864 0.0437 0.8301 26.5329 5.2599 1027 9930.8276 0.2640 0.0558 0.3198 1.0915 0.0558 1.1473 17.4563 4.8654 1024 9930.9629 0.3416 0.0653 0.4070 1.3046 0.0653 1.3699 16.0535 4.7691 1023 9921.0422 0.3756 0.0663 0.4419 1.4178 0.0663 1.4840 14.9964 4.4652 1021 9921.1114 0.3650 0.0747 0.4397 1.4764 0.0747 1.5511 16.9991 4.8188 1023 9920.6563 0.0681 0.0355 0.1036 0.7244 0.0355 0.7599 34.2781 4.6749 1024 9940.7654 0.2219 0.0422 0.2641 0.9873 0.0422 1.0295 15.9705 4.0964 1020 9940.8960 0.2812 0.0531 0.3343 1.1772 0.0531 1.2303 15.8929 4.3182 1021 9930.9803 0.3219 0.0627 0.3846 1.3022 0.0627 1.3648 16.2971 4.5918 1023 9931.1042 0.3162 0.0576 0.3739 1.4204 0.0576 1.4781 15.4173 3.8998 1018 9930.6820 0.1127 0.0566 0.1693 0.7947 0.0566 0.8513 33.4531 6.6530 1036 9930.8027 0.2243 0.0690 0.2933 1.0270 0.0690 1.0960 23.5157 6.2931 1033 9930.9101 0.2211 0.0640 0.2851 1.1312 0.0640 1.1952 22.4563 5.3571 1027 9921.0108 0.2967 0.0894 0.3861 1.3075 0.0894 1.3969 23.1601 6.4013 1035 9941.1148 0.3516 0.0661 0.4178 1.4665 0.0661 1.5326 15.8321 4.3157 1021 9940.6560 0.0611 0.0500 0.1112 0.7171 0.0500 0.7672 45.0127 6.5224 1036 9930.7850 0.1447 0.0733 0.2179 0.9297 0.0733 1.0030 33.6139 7.3041 1041 9930.9355 0.3028 0.0877 0.3905 1.2383 0.0877 1.3260 22.4603 6.6138 1036 9930.9883 0.2758 0.0875 0.3633 1.2641 0.0875 1.3516 24.0874 6.4750 1035 9931.0924 0.3682 0.0870 0.4552 1.4606 0.0870 1.5476 19.1141 5.6221 1029 9930.6886 0.1084 0.0661 0.1745 0.7970 0.0661 0.8631 37.8801 7.6596 1043 9930.8043 0.1823 0.0824 0.2647 0.9866 0.0824 1.0690 31.1147 7.7045 1043 9930.9002 0.2400 0.0817 0.3217 1.1403 0.0817 1.2220 25.3921 6.6856 1036 9930.9877 0.3137 0.0742 0.3880 1.3015 0.0742 1.3757 19.1362 5.3968 1027 9921.0901 0.3744 0.0995 0.4739 1.4645 0.0995 1.5640 21.0042 6.3644 1033 9920.6970 0.0818 0.0835 0.1653 0.7788 0.0835 0.8623 50.5116 9.6834 1057 9930.7978 0.1852 0.1086 0.2938 0.9830 0.1086 1.0916 36.9554 9.9467 1059 9930.8983 0.2583 0.1286 0.3869 1.1566 0.1286 1.2852 33.2389 10.0054 1061 9941.0043 0.2830 0.1404 0.4234 1.2874 0.1404 1.4278 33.1568 9.8334 1058 9921.0970 0.3579 0.1434 0.5012 1.4548 0.1434 1.5982 28.6014 8.9698 1053 9940.7171 0.1175 0.0713 0.1889 0.8347 0.0713 0.9060 37.7672 7.8732 1045 993

257

0.7848 0.1491 0.0906 0.2397 0.9339 0.0906 1.0245 37.8056 8.8459 1051 9930.9138 0.2366 0.1135 0.3501 1.1504 0.1135 1.2639 32.4082 8.9767 1052 9930.9997 0.3131 0.1274 0.4405 1.3128 0.1274 1.4402 28.9289 8.8481 1051 9931.1020 0.3553 0.1619 0.5172 1.4573 0.1619 1.6192 31.3070 9.9993 1059 9930.6815 0.0955 0.0648 0.1603 0.7770 0.0648 0.8418 40.4296 7.6974 1042 9920.8269 0.1908 0.0872 0.2781 1.0178 0.0872 1.1050 31.3685 7.8936 1044 9920.9062 0.2408 0.0999 0.3407 1.1470 0.0999 1.2469 29.3214 8.0126 1044 9920.9970 0.3172 0.1136 0.4308 1.3142 0.1136 1.4278 26.3685 7.9562 1044 9921.1026 0.3876 0.0967 0.4843 1.4902 0.0967 1.5869 19.9711 6.0945 1031 992

Table I.47 Mass flow ratio, Head rise ratio and efficiencyU1 P2 P1D P1 P1T P5D P5 P5T M N ETAm/s Pa Pa Pa Pa Pa Pa Pa - - %File: 160.81 18350 326 94995 95321 453 35154 35607 .221 .271 6.160.93 18443 428 124223 124651 842 36674 37516 .456 .201 9.621.06 18537 558 162493 163050 1359 38324 39683 .614 .154 10.181.15 18436 655 195406 196061 1789 39965 41755 .699 .135 10.271.20 18237 716 215459 216175 2059 40724 42783 .754 .124 10.31

File: 170.81 18625 328 96871 97199 472 35124 35596 .241 .258 6.420.93 18428 428 125017 125445 898 36646 37543 .502 .199 10.531.04 17649 540 159638 160178 1368 38421 39789 .649 .165 11.521.14 18455 648 191909 192557 1754 40400 42154 .708 .140 10.741.22 18352 737 216308 217044 2087 41524 43611 .744 .128 10.46

File: 180.92 18630 419 120746 121164 763 36284 37046 .393 .203 8.331.02 17656 520 152662 153182 1222 37806 39028 .566 .172 10.371.16 17847 666 193626 194292 1804 39958 41761 .681 .141 10.451.22 17454 736 221122 221858 2012 41602 43614 .690 .132 9.91

File: 190.85 18675 362 102161 102522 520 35856 36375 .249 .249 6.400.97 18575 472 133627 134099 968 37381 38349 .501 .186 9.871.05 18473 552 158058 158610 1379 39025 40404 .658 .165 11.641.16 18371 667 194539 195207 1671 40418 42089 .656 .137 9.711.24 18173 765 221950 222716 2069 41685 43755 .722 .125 9.85

File: 200.87 18461 375 108236 108611 634 36196 36831 .375 .233 9.060.97 18849 472 134976 135447 956 37474 38429 .501 .181 9.591.03 18360 524 151497 152021 1494 38360 39854 .774 .168 14.111.15 18257 652 192071 192722 1745 40452 42198 .721 .139 10.911.24 18448 765 225813 226578 2184 42291 44475 .771 .124 10.51

File: 210.86 17957 369 105138 105507 519 35528 36048 .240 .241 5.980.99 18634 491 143538 144028 1094 37810 38904 .573 .172 10.501.02 18535 520 151525 152045 1237 38066 39302 .612 .165 10.781.14 18533 647 191956 192603 1788 40347 42136 .733 .138 11.021.24 18431 764 228891 229655 2221 42373 44594 .788 .122 10.62

File: 220.82 18650 334 95794 96128 419 35175 35595 .179 .259 4.770.98 18451 475 136233 136707 973 37711 38684 .525 .183 10.181.06 18254 558 165744 166302 1365 39238 40604 .668 .156 11.141.15 18348 655 194231 194887 1684 40374 42058 .708 .134 10.311.23 18053 748 222579 223327 2080 41638 43718 .765 .123 10.33

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A P P E N D I X - J

PROGRAM FLOW CHARTS

Fig. J.1 Flowchart of the program for the analysis of SHIH’s Exptl data.

Output files: (16 nos)

261

SHIH_I_S SHIH_U_S SHIHWS01 SHIHTV01

SHIHTVCK SHIHTSCK SHIHSVSC SHIHSVSP

SHIHWS02 SHIHLP_3 SHIHWSAR SHIHLOCV

SHIHACIR SHIH_RK4 SHIHKHAN SHIHWSAR

Fig. J.2a Flowchart of Program for processing the Present Exptl Data.

263

Fig. J.2b Flowchart of Program for processing the Present Exptl Data(pressure distribution)

264

Fig. J.3 Flow chart for author’s program for processing experimentaldata (Flow Ratio, Head ratio, efficiency etc.)

18_appendix a to j.pdf

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