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A · 2 6 APPENDIX A PHYSICAL PROPERTIES OF FLUIDS AND FLOW CHARACTERISTICS OF VALVES, FITTINGS, AND PIPE CRA N E
K FACTOR TABLE-SHEET 1 of 4
Representative Resistance Coefficients (K) for Valves and Fittings( K is based on use o f schedule pipe as listed on page 2- 10)
PIPE FRICTION DATA FOR CLEAN COMMERCIAL STEel PIPEWITH FlOW IN ZONE OF COMPLETE TURBULENCE
Nominal Size Y2 711Friction .027 .025Factor (fT)
• Formula 1
• Formula 2
0, ; (I - (32) • Isin. ..1<2 = V 2
{34
1 1 ~ lY2 2 2Y2, 3 4 5
.023 .022 .021 .019 .018 .017 .016
FORMULAS FOR CALCULATING uK FACTORS·FOR VALVES AND FITTINGS WITH REDUCED PORT
(Ref: Pages 2-11 and 3-4)
• Formula 6
6 8-10
,015 .014
1<2 = ~ l+ Formula 2 -7- Formula ..J.
• Formul a 7
12-16
.013
18-24
.012
• Formula 3
2 6 ~ i n:1 1- (32)2 l
K = ~ 4+ { (Formula 2 + Formula..J.) when () = 180
K = {34 = {34
• Formula 4
• Formula 5
1<2 = ~ I+ Formula I + Formula 3
KI + i n ~ [ 0 8(r - (32) + 2,6 (I - (32)2]K2
= 2
SUDDEN AND GRADUAL CONTRACTION
9\
. I I
d, 1 a,\ \
If: < 45° K Formula I
45° < < r800 . • . K - Formula 2
{3 - ~- d
2
{32 = dl )2 = c: . .d2 a2
Subscript 1 defines dimensionsand coefficients with reference t othe smaller diameter.Subscript 2 refers to the largerdiameter
SUDDEN AND GRADUAL ENLARGEMENT
r;:\ I, I I ,
I I \I , ~ d, 9 d, I a, 1, I I / \ \ I, .-
L: 5
If: < 45°· , .1<2 = Formula 3
45° < < 180 0• • • 1<2 = Formula 4
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C R A N E APPENDIX A - PHYSICAL PROPERTIES OF flUIDS AND FLOW CHARACTERISTICS OF VALVES. FITTING S. AND PIPE A-27
K FACTOR TABLE-SHEET 2 of 4
Representat ive Resistance Coefficients (K) for Valves and Fittings(for formulos and friction data. see poge A·26)
( K is based on use of schedule pipe as listed on page 2· 10)
GATE VALVES SWING CHECK VALVESWedge Disc, Double Disc, or Plug Type
If: {3 = I, j = 0 . 1< = 8fT
{3 < 1 and (j :( -1-5°. . . . . . . . . ~ = Formula 5{3 < 1 and 45° < j '< 180° . 1 -2 = Formula l1
GLOBE AND ANGLE VALVES
4 .../ .'
/ \ . . , ,-, ' , . .
~_ _ ij , , -a , d a 'I . : ~s z
If: {3=I I<'=55fT
All ~ I o b eand a n ~ l evalves,whether reduced scat or throttled,
[ f: :J < I . . . f{., = Formula 7
, ,a., ,
K=loofT
\'Iinimum pipe \'elocityfpS) for full ,--lise lift
I< = 50 fr
\Iinimum pipe \'elocityfpS) for full disc lift
=35 VV- =48 VV
~ ..------, ~
LIFT CHECK VALVES
I r: r = I ,K 1 = oeo fTr < I ,K 2 = Formula 7
lvlinimum pipe velocity (fps) for full disc lift/ - = -
= 40 t/2 V V
~ , Irr- . i
If: r3=I I<1=55h·r < I . . . K2 = Formula i
~ I i n i m u r npipe velocity Ups) for full disc lift= 140 (32 v'v
TILTING DISC CHECK V ALVES
0(. = 5° 01.= 15°
Sizes 2 to 8 , . . K = 40ft. 120frSizes 1 0 to 14 . . . K = 30 ft L)O /7 '
Sizes I l) to -18 . . . K = 20/-1 bo fT\ linirnurn pipe velocity
80 VV 30 VVCps) for full disc lift =
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A - 28 APPENDIX A - PHYSICAL PROPERTIES OF FLUIDS AND f l O W CHARACTERISTICS OF VALVES, FITTINGS, AND PIPE C R A N
K FACTOR TABLE-SHEET 3 of 4
Representative Resistance Coefficients (K) for Valves and FittingsFor formulas and friction data, see page A-26J
( K is based on use of scheduled pipe as listed on page 2- 10)
STOP-CHECK V ALVES
(Globe and Angle Types)
If:i = I, , ,1<1 = 40 0 fr{3
< I ,:1<2 = Formula 7
Minimum pipe velocityfor full disc Ii ft
= 55 {32 v'V
If:{3 = 1 - , 1<1 = JOO iT{3 < I , 1<.2 = Formula 7
If:{3 = I , I<I = 2 0 0 iT
{3 < I , , 1<2 = Formula ;
Minimum pipe velocityfor full disc lift
= 75 {32 VV
If:{3 = I , ,1<1 = 35 0 fr{3 < I , 1<.2 = Formula 7
ivlinimum pipe velocity (fps) for full disc lift
= 60 {32 VV
If: If:{3 = I , - ,K 1 = 55 iT{ J< I 1<.2 = Formula 7
{3 = I. I < I = 55 iT{ J< I 1<2 = Formula ;
Nlinimum pipe velocity (fps) for full disc lift
= 140 {32 V V
FOOT VALVES WITH STRAINER
Poppet Disc Hinged Disc
t--d--i
, I:;- . - . - - - z j
\ linimum pipe \'ciocity(fps) for full disc lift
\Iinimum pipe \'clocity(fps) for full disc. ift
= 15 VV =
= 35 V V
BALL VALVES
vJ;4 tIf: p = I . = 0 , , , , , , , , , , , I < I = J 1.
p < 1 and 0 <: 45° , , , , , , , , ,1\.2 = rormula 5{3 < I and 45° < 0 < 180°, , ,1\.2 = r:-ormula 6
UTTERFLY VALVES
Sizes 2 to 8 K = 45 r
Sizes 10 to 14" K = 35 r
Sizes 16 to 24" K = 25 iT
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CRANE APPENDIX A - PHYSICAL PROPERTIES OF FLUIDS AND FLOW CHARACTERISTICS OF VALVES. FlnINGS. AND PIPE A-29
UK FACTOR TABLE- SHEET 4 of 4
Representative Resistance Coefficients (K) for Valves and Fittings(for formulas and friction dota, ee page A-26)
( K is based on use of schedule pipe as listed on page 2- 10)
PLUG VALVES AND COCKS
Straight-Way 3-Way
If: t = I .
1<\ = IS T
I f :
If: p = I If: j3 = I
I \ = 30 T 1<\ = ClOiT
11 < I < ~ = Formula 6
MITRE BENDS
0(.
O· 2 frIS· 4 fr30 8 fr45· 15 fr60· 25 fr75· 40 fr90· 60 fr
- - - - - - - - - - ~ - - - - - - - .
90° PIPE BENDS AND
FLANGED OR BUTT-WELDING 90° ELBOWS
rid rid
1 20 fr 8 24 fr1.5 14 fr 10 30 fr2 12 fr 12 34 fr3 12 fr 14 38 fr4 14 fr 16 42 fr6 17 fr 20 50 fr
The resista nce coefficient, K/I, for pipe bends otherthan qoo may he determined as follows:
[ 11= 11 - I) 0.25 7r fr J+ 0.5 K + I
n = number ofquo
bt:nds= rt:sistunec coefficient for one l}O° ocnd (per tuble)
-- , ----- , ---------- , -- ,CLOSE PATTERN RETURN BENDS
STANDARD ELBOWS
90°
~I
K = 30 iT I = l T
STANDARD TEES
. J - L
low thru run = 2 0 T
FIO\\ t hru branch I = 60 T
InwardProjecting
PIPE ENTRANCE
rid
0.00* 0.50.02 0.280.04 0.240.06 0.150.10 0.09
0.15 & up 0.04Sharp-edged
Flush
For I<,see table
------------------._--------.---Projecting
K = 1.0
PIPE EXI r
Sharp-Edged Rounded
I
---K = 1 0