Practice Problem – Valve Sizing
1. Size a valve to control the flow of liquid hydrocarbon.
The process data is:
Liquid hydrocarbon
Flowing temperature 65C
8” line
Gf = 0.804
P1 = 50 psig
Pvap = 11 psia
Pc = 950 psia
Cf = 0.8
nominal flow = 1000 gpm
size for 100% overcapacity
valve pressure drop at the nominal flow = 10 psi
line pressure drop at the nominal flow = 5 psi
valve trim is linear, fail closed
Calculate the Cv and select the correct sized valve. Be sure to check for cavitation. Select
and ED Fisher valve, vendor data is attached.
2. Size a valve to control the flow of liquid hydrocarbon.
The process data is:
Liquid hydrocarbon
Flowing temperature 65 C
3” line
Gf = 0.85
P1 = 30 psig
Pvap = 25 psia
Pc = 950 psia
Cf = 0.7
nominal flow = 200 gpm
size for 100% overcapacity
valve pressure drop at the nominal flow = 20 psi
line pressure drop at the nominal flow = 25 psi
1
Practice Problem – Valve Sizing
valve trim is =%, fail closed
valve theoretical rangeability = 33
Calculate the Cv and select the correct sized valve. Be sure to check for cavitation. Select
and ED Fisher valve, vendor data is attached.
Fisher Design ED Classes 125 – 600, Cage Guided
2
Practice Problem – Valve Sizing
SOLUTIONS
Question 1
Data:
8” line
Gf = 0.804
P1 = 50 psig
Pvap = 11 psia
Pc = 950 psia
Cf = 0.8
nominal flow = 1000 gpm
size for 100% overcapacity
valve pressure drop at the nominal flow = 10 psi
line pressure drop at the nominal flow = 5 psi
valve trim is linear, fail closed
Check for cavitation,
Pallow C f 2 Ps
To calculate Ps,
If Pv < 0.5P1 then use Ps = P1 – Pv
PV
If Pv >= 0.5P1 then use Ps P1 0.96 0.28 PV
PC
Calculate PS,
P1 = 50 psig + 14.7 = 64.7 psia
It is the case Pvap < 0.5P1 or 11 < 0.5(64.7).
So use the following equation to calculate Ps,
Ps = P1 – Pv = 64.7 – 11 psi = 53.7 psi
Sub intoPallow,
Pallow = 0.8253.7 = 34 psi
3
Practice Problem – Valve Sizing
In this system,
PV,available < PV,allow
So there will be no cavitation if we size the valve for Pv = 10 psi.
The valve sizing equation is,
Pv
F Cv
Gf
The nominal Cv is,
Gf 0.804 gpm
C V Cv,nominal F 1000 284
Pv 10 psi
The valve coefficient sized for 100% overcapacity is,
gpm gpm
Cv,max 2 Cv,nominal 2 284 568
psi psi
Select a Fisher ED valve, linear trim,
Cv,selected = 688
8” linear valve, full port, 2” travel
Question 2
Data:
Liquid hydrocarbon
Flowing temperature 65C
3” line
Gf = 0.85
P1 = 30 psig
Pvap = 25 psia
Pc = 950 psia
Cf = 0.7
nominal flow = 200 gpm
size for 100% overcapacity
valve pressure drop at the nominal flow = 20 psi
line pressure drop at the nominal flow = 25 psi
valve trim is =%, fail closed
valve theoretical rangeability = 33
4
Practice Problem – Valve Sizing
Check for cavitation,
P1 = 30 psig + 14.7 = 44.7 psia
Pv > 0.5P1 so use,
P
Ps P1 0.96 0.28 v Pv
Pc
25 psia
Ps 44.7 0.96 0.28 25 44.7psi 22.9 psi 21.8psi 22 psi
950 psia
Pallow = Cf2Ps
Pallow = 0.7221.8 = 11 psi
Pv, available > Pallow
So there will be cavitation if we size the valve for Pv = 22 psi, therefore size the valve using
11 psi.
The valve sizing equation is,
Pv
F Cv
Gf
The nominal Cv is,
Gf
C v,nominal F
Pv
0.85 gpm
200 56
11 psi
The valve coefficient sized for 100% overcapacity is,
gpm gpm
Cv,max 2 Cv,nominal 2 56 112
psi psi
Select a Fisher ED valve, =% trim.
3”, 3 7/16” port, 1 1/2” travel, Cv,selected = 136