appendix counter current

7/25/2019 Appendix Counter Current

1/15

Appendix

Counter Current Flow

Part 1: Hot water flow rate (mh)is constant at 10.9 l/min

T(C) Pressure (barg)

Coil (Hot) hell (Col!) Coil (Hot) hell (Col!)

"nlet #utlet "nlet #utlet "nlet #utlet "nlet #utlet

$9.9 $%.& '1. '1.& 0.& 0.0 0.'' 0.'

*.1 $9. '1 '.$ 0.& 0.0 0.'* 0.'

'. '.$ '1 '%.* 0.& 0.0 0.'' 0.'

Table +.1.1: ,aw !ata for col! water flow rate at .% l/min

T (C) Pressure (barg)



*.' 0.$ '1.& '$.1 0.%1 0.0& 0.'* 0.19

0.& $%.$ '1.& '$.* 0.%1 0.0 0.'* 0.'

$9. $.' 19. '1. 0.%1 0.0 0.'* 0.0%

Table +.1.': ,aw !ata for col! water flow rate at 9. l/min




0.% $.9 '* '%.9 0.& 0.0 0.'$ 0.'

0. $9.$ ''.9 '%.& 0.&% 0.0& 0.'$ 0.'

1.% $. '*.1 *%.% 0.& 0.0& 0.'$ 0.'

Table +.1.*: ,aw !ata for col! water flow rate at 10.9 l/min


2/15

T (C)

-T1 -T' -Tlm Tmeanh

ch

(/g.2

)

(3)Q4

(3/m'.2)

+5erage 4

(3/m'.2)Coil (Hot) hell (Col!)

"nle

t

#utle

t

"nle

t

#utle

t

$9.9 $%.& '1. '1.& '.* '.

'%.0*0

% $.% $10.% 1%1.%9 '19.%'$$

1.9%*9*.1 $9. '1 '.$ '%.% '.

'.'$&

$ 1.$ $11. '&.99 *01.%$$

'. '.$ '1 '%.* '. *1.$

'.*$%

% '.& $1'.0$ *09.9%* *&.$$9

Table +.1.$: Calculate !ata for col! water flow rate at .% l/min

T (C)

-T1 -T' -Tlm Tmeanhch

(/g.2)(3)Q

4

(3/m'.2)

+5erage

4

(3/m'.2)

Coil (Hot) hell (Col!)

"nle

t

#utle

t "nlet #utlet

*.' 0.$ '1.& '$.1 '9.1 '. '.9$9% 1. $11.%' '1&9.&$ '$9.1%*

''.90990.& $%.$ '1.& '$.* '&.* '. '&.0$9' $9 $10. '$%9.0 *1%.''&*$9. $.' 19. '1. '%.% '.$ '.0$ $. $10.%% 100%.11 119.&&0

Table +.1.: Calculate !ata for col! water flow rate at 9. l/min

T (C)

-T1 -T' -Tlm Tmeanh

ch

(/g.2

)

(3)Q4

(3/m'.2)

+5erage

4

(3/m'.2)


"nle

t

#utle

t

"nle

t

#utle

t

0.% $.9 '* '%.9 ''. ''.9 ''. $.* $10.&& *%1.$ $'.$$*

*.99'*0. $9.$ ''.9 '%.& '*.' '&.

'$.1*

$ 0.1 $11.0$ 10$.& 1$.%0&%

1.% $. '*.1 *%.% 1$ '.%

19.'&1

$ 0.' $11.1 ''$&. *.'&$

Table +.1.&: Calculate !ata for col! water flow rate at 10.9 l/min


3/15

amle calculation for Table +.1.$ first row

1. 3ater !ensit6 is assume! at 1000 g/m*.

4nit con5ersion of mh:10.9 l

min

1min

60 s

1m3

1000 l

1000 kg

m3 =0.1853

kg

s

'.h ,Tc ,out

T1=

T

T1= $9.9 7 '1.&

T1= '.*

*.c ,

T2=Th,outT

T2= $%.& 7 '1.

T2= '.

$.

T2T

1/

ln

Tlm=T

1T

2

.

Th ,+Th,out2

=49.9+47.6

2 =48.75

Tmean,h=

&. ecific Heat Caacit6 chis !etermine! at Tmeanh using the Proert6 Tables an!

Charts .cph=4180.75J/k g . K

%. 8Q mhch(Thin7 Thout)

8Q 0.1853kg

s 4180.75 J/k g . K (49.947.6 )

8 1%1.%9 3Q

. 84+Q s-Tlm


4/15

U= Q

A s Tlm=

1781.79

0.327.0307=219.7244 W/m

2. K

9. +5erage 4 is obtaine! b6 a!!ing * 5alues an! !i5i!ing it b6 *.


5/15

Part ': Col! water flow rate (mc)is constant at 9. l/min



"nlet #utlet "nlet #utlet "nlet #utlet "nlet #utlet0.$ $$.& ''. '%.% 0.&& 0.0 0.'$ 0.1&

$9. $%. ''.9 '.9 0.&& 0.0& 0.'$ 0.1&

$%.% $$. ''.% '%. 0.&% 0.0& 0.'$ 0.1%

Table +.'.1: ,aw !ata for hot water flow rate at .% l/min




$9. $. ''.% '.% 0.&& 0.0 0.'$ 0.'

$9. $.' ''.& '.* 0.&% 0.0& 0.'$ 0.'

*.* $9. ''. '.' 0.&% 0.0 0.'$ 0.'

Table +.'.': ,aw !ata for hot water flow rate at 10.9 l/min


Coil (Hot) hell (Col!) Coil (Hot) hell (Col!)"nlet #utlet "nlet #utlet "nlet #utlet "nlet #utlet

'. $% ''. '&. 0.& 0.0% 0.'& 0.'*

'.1 $%.9 ''& '%. 0.&& 0.0& 0.'& 0.'*

9.9 *.* ''.% '%.$ 0.&% 0.0& 0.'& 0.'*

Table +.'.*: ,aw !ata for hot water flow rate at 1$.0 l/min


6/15

T (C)

-T1 -T' -Tlm Tmeancch

(/g.2)

(3)Q4

(3/m'

.2)

+5erage

4

(3/m'.2


"nle

t #utlet "nlet #utlet

0.$ $$.& ''. '%.%

''.

% '1. ''.'$% '.' $1%9.9 *$1'.'' 11.'&*%

$$1.%9$9. $%. ''.9 '.9

'*.

9 '$.& '$.'$* '$.$ $10.'$ '09.' '%.'0&%

$%.% $$. ''.% '%.

'0.

' ''.1 '1.1* '.1 $1%9.9& **$'.&* '%.1&0

Table +.'.$: Calculate! !ata for hot water flow rate at .% l/min

T (C)


(/g.2)(3)Q

4

(3/m'.2)

+5erag

4

(3/m'.


"nle

t #utlet

"nle

t #utlet

$9. $. ''.% '.% '$.1 '&.1 '.0&% '$.' $10.*' '09.*' '%%.&1*&

$$1.&$$9. $.' ''.& '.* '1. '.& '*.$90$ '.$ $1%9.' *9&9.'$ &*.'$*0

*.* $9. ''. '.' '.1 '&.% '.91 '. $1%9. *%&0.*' $$.10%1

Table +.'.: Calculate! !ata for hot water flow rate at 10.9 l/min

T (C)


(/g.2)(3)Q

4

(3/m'.2)

+5erage

4

(3/m'.2


"nle

t #utlet "nlet

#utle

t

'. $% ''. '&. '.% '$.' '$.9$' '$. $10.0 '%.&1 *%'.'%0

$01.&1'.1 $%.9 ''.& '%. '$.* '.* '$.%9&& '.' $1%9.9' *&'1.1 $&.%%9$

9.9 *.* ''.% '%.$ *'. *0.& *1.$0 '.0 $1%9.9 *'%*.01 *$.90%

Table +.'.&: Calculate! !ata for hot water flow rate at 1$.0 l/min


7/15

amle calculation for Table +.'.$ first row


4nit con5ersion of mc:9.8l

min

1 min

60 s

1m3

1000 l1000kg

m3 =0.1666

kg

s

'.h ,Tc ,out

T1=T

T1= 0.$ 7 '%.%

T1= ''.%

*.c ,

T2=Th,outT

T2= $$.& 7 ''.

T2= '1.

$.

T2

T1/

ln

Tlm=T

1T

2

.

Tc ,+

Tc ,out

2=22.8+27.7

2=25.25

Tmean,c=

&. ecific Heat Caacit6 ccis !etermine! at Tmeanc using the Proert6 Tables an!

Charts .cph=4179.9 J/k g . K

%. 8Q mccc(Tcout Tcin)

8Q 0.1666kg

s 4179.9 J/kg. K (27.721.8 )

8 *$1'.'' 3Q

. 84+Q s-Tlm

U= Q

A s Tlm=

3412.22

0.322.247=511.2637W/m

2. K



8/15

Co-Current Flow

Part 1: Hot water flow rate (mh)is constant at 11.%l/min

T(C) Pressure (barg)


"nlet #utlet "nlet #utlet "nlet #utlet "nlet #utlet56.4 48 23.2 27.8 0.6 0.06 0.22 0.46

55.9 51.2 23.2 27.5 0.6 0.06 0.22 0.46

52.9 48.5 23.1 27.7 0.6 0.06 0.22 0.47

Table .1.1: ,aw !ata for col! water flow rate at .% l/min



"nlet #utlet "nlet #utlet "nlet #utlet "nlet #utlet53.2 50.4 21.6 24.1 0.71 0.06 0.23 0.19

50.6 47.4 21.6 24.3 0.71 0.05 0.23 0.2

49.5 48.2 19.8 21.8 0.71 0.05 0.23 0.07

Table .1.': ,aw !ata for col! water flow rate at 9. l/min




49.1 47 23.3 27.9 0.85 0.05 0.2 0.48

52.9 49.2 23.2 27.2 0.86 0.05 0.2 0.48

Table .1.*: ,aw !ata for col! water flow rate at 10.9 l/min


9/15

T (C)

-T1 -T' -Tlm Tmeanh

ch

(/g.2

)

(3)Q4

(3/m'.2)

+5erage 4


"nlet

#utle

t "nlet

#utle

t56.

40

48.0

0

23.

20

27.8

0

28.6

0

24.

80

26.65 52.2

0

4182.0

0

6987.1

2

873.78 606.00

55.

90

51.2

0

23.

20

27.5

0

28.4

0

28.

00

28.20 53.5

5

4182.0

0

3909.4

6

462.12

52.

90

48.5

0

23.

10

27.7

0

25.2

0

25.

40

25.30 50.7

0

4181.0

0

3659.0

4

482.09

Table .1.$: Calculate !ata for col! water flow rate at .% l/min

T (C)

-T1 -T' -Tlm Tmeanh

ch

(/g.2

)

(3)Q4

(3/m'.2)

+5erage

4

(3/m'.2

)


"nlet

#utle

t "nlet #utlet53.2

0

50.4

0

21.6

0

24.1

0

29.1

0

28.8

0

28.95 51.8

0

4181.0

0

2328.4

8

268.11 245.70

50.6

0

47.4

0

21.6

0

24.3

0

26.3

0

25.8

0

26.05 49.0

0

4181.0

0

2661.1

2

340.53

49.5

0

48.2

0

19.8

0

21.8

0

27.7

0

28.4

0

28.05 48.8

5

4181.0

0

1081.0

8

128.48

Table .1.: Calculate !ata for col! water flow rate at 9. l/min

T (C)-T1 -T' -Tlm Tmeanh

ch

(/g.2

)

(3)Q4

(3/m'.2)

+5erage4


"nlet

#utle

t "nlet

#utle

t49.4

0

44.1

0

23.2

0

25.8

0

23.6

0

20.9

0

22.22 46.75 4180.0

0

4406.4

3

660.95 439.07

49.1

0

47.0

0

23.3

0

27.9

0

21.2

0

23.7

0

22.43 48.05 4180.0

0

1745.9

4

259.50

52.9 49.2 23.2 27.2 25.7 26.0 25.85 51.05 4181.0 3076.9 396.77


10/15

0 0 0 0 0 0 0 2

Table .1.&: Calculate !ata for col! water flow rate at 10.90l/min

amle calculation for Table .1.$ first row


4nit con5ersion of mh:10.9 l

min

1min

60 s

1m3

1000 l

1000kg

m3 =0.1989

kg

s

'.h ,Tc,out

T1=T

T1= &.$ 7 '%.

T1=

'.&

*.c ,

T2=Th,outT

T2= $.00 7 '*.'0

T2= '$.0

$.

T2

T1/

ln

Tlm=T

1T

2

.

Th ,+Th,out

2=56.4048.00

2=52.20

Tmean,h=


Charts .

cph=4182 J/kg.K


11/15

%. 8Q mhch(Thin7 Thout)

8Q 0.1989kg

s 4182 J/k g . K (56.448.00 )

8 &9%.1' 3Q

. 84+Q

s-TlmU=

Q

A s Tlm=

6987.11832

0.326.65487031=873.7763W/m

2. K



12/15

Part ': Col! water flow rate (mc)is constant at 9. l/min




55.2 47.9 23.5 28.5 0.71 0.06 0.2 0.33

50.5 45.3 23.4 27.6 0.7 0.06 0.2 0.33

Table .'.1: ,aw !ata for hot water flow rate at .% l/min



"nlet #utlet "nlet #utlet "nlet #utlet "nlet #utlet53.8 50.1 23.2 26 0.7 0.06 0.2 0.51

56.7 52.1 23.2 26.2 0.71 0.06 0.2 0.51

51.8 46.7 23.4 26.5 0.71 0.06 0.2 0.51

Table .'.': ,aw !ata for hot water flow rate at 10.9 l/min




56.4 52.9 23.3 26.8 0.71 0.06 0.21 0.68

58.3 46.8 23.4 26.4 0.71 0.06 0.21 0.67

Table .'.*: ,aw !ata for hot water flow rate at 1$.0 l/min


13/15

T (C)

-T1 -T' -Tlm Tmeanc

ch

(/g.2

)

(3)Q

4

(3/m'.2

)

+5erage

4

(3/m'.2

)Coil (Hot) hell (Col!)

"nlet

#utle

t "nlet

#utle

t54.

10

47.6

0

23.

50

28.2

0

25.

90

24.

10

24.99 25.8

5

4179.

00

3272.

24

436.49 442.05

55.

20

47.9

0

23.

50

28.5

0

26.

70

24.

40

25.53 26.0

0

4179.

00

3481.

11

454.46

50.

50

45.3

0

23.

40

27.6

0

22.

90

21.

90

22.40 25.5

0

4179.

00

2924.

13

435.21

Table .'.$: Calculate! !ata for hot water flow rate at .% l/min

T (C)

-T1 -T' -TlmTmean

c

ch

(/g.2

)

(3)Q

4

(3/m'.

2)

+5erage

4

(3/m'.2


"nlet

#utle

t "nlet

#utle

t53.

80

50.1

0

23.

20

26.0

0

27.

80

26.

90

27.35 24.6

0

4180.

00

1949.

89

237.67 256.17

56.

70

52.1

0

23.

20

26.2

0

30.

50

28.

90

29.69 24.7

0

4180.

00

2089.

16

234.53

51.

80

46.7

0

23.

40

26.5

0

25.

30

23.

30

24.29 24.9

5

4180.

00

2158.

80

296.30

Table .'.: Calculate! !ata for hot water flow rate at 11.% l/min

T (C)

-T1 -T' -Tlm Tmeanc

ch

(/g.2

)

(3)Q

4

(3/m'.2

)

+5erage4

(3/m'.2


"nlet

#utle

t "nlet

#utle

t57.

90

49.5

0

23.

20

27.8

0

30.

10

26.

30

28.16 25.5

0

4179.

00

3202.6

2

379.13 302.43

56.

41

52.9

0

23.

30

26.8

0

29.

61

29.

60

29.60 25.0

5

4178.

00

2436.1

9

274.30


14/15

58.

30

46.8

0

23.

40

26.4

0

31.

90

23.

40

27.43 24.9

0

4180.

00

2089.1

6

253.87

Table .'.&: Calculate! !ata for hot water flow rate at 1$.% l/min

amle calculation for Table .'.$: first row


4nit con5ersion of mh:9.8l

min

1 min

60 s

1m3

1000 l1000kg

m3 =0.1666

kg

s

'.h ,Tc, o u t

T1=T

T1=54.10 7 '.'0

T1= '.9

*.c ,

T2=Th,outT

T2= $%.&0 7 '*.0

T2= '$.10

$.

T2

T1/

ln

Tlm=T

1T

2

.

TC ,+TC ,out2

=28.2023.50

2=52.20

Tmean,h=


Charts .


15/15

cpc=4179 J/kg.K

%. 8Q mhch(Tcout Tcin)

8Q 0.1666kg

s 4179 J/kg. K (28.2023.50 )

8 *'%'.'$ 3Q. 84+Q s-Tlm

U= Q

A s Tlm=

3272.24058

0.324.98919626=436.4874W/m

2. K


appendix counter current

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