How to calculate control valve diameter size

How to calculate control valve diameter size ,let’s give you some brief introduction about how to confirm whether the diameter is suitable for the control valve.

Control valve working condition:Medium:Liquid nitrogen,t=33℃,λ=5.9×10^-4kgf/cm3,Pv=15×100kPa,Qmax=15m3/h,the corresponding Qmax p1,p2,△pmin is (530、130、400)×100kPa,Qmin=5m3/h,△pmax = 500×100kPa,s=0.2, choose high pressure control valve ,flow characteristics:linear ,with positioner,what diameter(DN) is suitable for the control valve?
1.Flow capacity:Qmax=15m3/h。
2.Pressure difference:△pmin = 400×100kPa,△Pmax=500×100kPa.

3.Kv value calculation:
Step 1:we can know from datasheet :Fl=0.8.
Step 2:flow state:0.5p1>>pv,Therefore:

And △pmin > △pc,so it is block flow.
Step 3:Adopt the KV value  calculating formula of block flow state

4.According to Kvmax=0.64,Check the flow coefficient of the high pressure control valve,get DN=10,dg=7,and Kv=1.0
5.The opening of calculation 
Because Kv=1,the control valve only has linear flow characteristic,adopts linear culculating formula.

The max. opening Kmax<89%,The min. openingKmin>10%,so Kv=1.0 is qualified.
6.Adjustable ratio calculation.

The calculation result is qualified.
7. the pressure different calculation △p<[△p],(because ds<dg)is qualified.
8.Conclusion:DN=10,dg=7,Kv=1.0, Calculation is qualified.

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