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Sizing - Pietro Fiorentini

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<strong>Sizing</strong> the Control Valve<br />

A. Subcritical conditions<br />

(when ΔP < 0.5F 2 P1)<br />

Volume flow rate (gas and vapor)<br />

Q = 290 Cv<br />

P Δ (P1+P2)<br />

G T<br />

Weight flow rate (gas and vapor)<br />

Q = 355 Cv<br />

GΔP (P1+P2)<br />

T<br />

Weight flow rate (saturated steam)<br />

W = 13,55 Cv ΔP (P1+P2)<br />

Weight flow rate (overheated steam)<br />

Cv ΔP (P1+P2)<br />

W = 13,55<br />

(1+0,00126Δt)<br />

B. Critical conditions<br />

(when ΔP 0.5F2 P1)<br />

Volume flow rate (gas and vapor)<br />

262 F Cv P1<br />

Q =<br />

G T<br />

Weight flow rate (gas and vapor)<br />

W = 321 F Cv P1<br />

G<br />

T<br />

Weight flow rate (saturated steam)<br />

W = 11,73 F Cv P1<br />

Weight flow rate (overheated steam)<br />

F Cv P1<br />

W = 11,73<br />

(1+0,00126 Δ t)<br />

Deltaflux<br />

GAS, VAPOR AND STEAM BIPHASE FLUIDS<br />

A. Subcritical conditions<br />

(when ΔP < 0.5F 2 P1)<br />

Constant liquid/gas mixture ratio (liquid containing<br />

non condensable gas or liquid containing high title<br />

vapor)<br />

W = 19,1 Cv ΔP (w1+w2)<br />

Variable liquid/vapor mixture ratio (liquid containing<br />

low title vapor, less then 0.5)<br />

W = 27,1 Cv ΔP w1<br />

B. Critical conditions<br />

(when ΔP ≥ 0.5F 2 P1)<br />

Constant liquid/gas mixture ratio (liquid containing<br />

non condensable gas or liquid containing high title<br />

vapor)<br />

W = 13,5 F Cv P1 (w1+w2)<br />

Variable liquid/vapor mixture ratio (liquid containing<br />

low title vapor, less then 0.5)<br />

W = 19,1 F Cv P1 w1<br />

100<br />

w1 =<br />

Xg (Vg1-Vf) + 100 Vf<br />

100<br />

w2 =<br />

Xg (Vg2-Vf) + 100 Vf

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