Water Flow Rate Through a Valve
Water Flow Rate Through a Valve formula |
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\( Q_w \;=\; C_v \; \sqrt { p_1 - p_2 \;/\; SG } \) (Water Flow Rate through a Valve) \( C_v \;=\; Q_w \; \sqrt{ SG } \;/\; \sqrt{ p_1 - p_2 } \) \( p_1 \;=\; ( Q_w^2 \; SG \;/\; C_v^2 ) + p_2 \) \( p_2 \;=\; p_1 - ( Q_w^2 \; SG \;/\; C_v^2 ) \) \( SG \;=\; C_v^2 \; ( p_1 - p_2 ) \;/\; Q_w^2 \) |
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| Symbol | English | Metric |
| \( Q_w \) = water flow rate | \(ft^3\;/\;sec\) | \(m^3\;/\;s\) |
| \( C_v \) = valve flow coefficient | \(dimensionless\) | \(dimensionless\) |
| \( p_1 \) = primary pressure | \(lbf\;/\;in^2\) | \(Pa\) |
| \( p_2 \) = secondary pressure | \(lbf\;/\;in^2\) | \(Pa\) |
| \( SG \) = water specific gravity | \(dimensionless\) | \(dimensionless\) |
Water Flow Rate Through a Valve formula |
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\( Q_w \;=\; C_v \; F_l \; \sqrt { p_1 - F_f \; p_{av} \;/\; SG } \) (Water Flow Rate through a Valve) \( C_v \;=\; \sqrt{ SG \; ( Q_w \;/\; F_l )^2 \;/\; p_1 - ( F_f \; p_{av} ) } \) \( F_l \;=\; \sqrt{ SG \; ( Q_w \;/\; C_v )^2 \;/\; p_1 - ( F_f \; p_{av} ) } \) \( p_1 \;=\; SG \; ( Q_w \;/\; C_v \; F_l )^2 + ( F_f \; p_{av} ) \) \( F_f \;=\; p_1 - ( SG \; ( Q_w \;/\; C_v \; F_l )^2 ) \;/\; p_{av} \) \( p_{av} \;=\; p_1 - ( SG \; ( Q_w \;/\; C_v \; F_l )^2 ) \;/\; F_f \) \( SG \;=\; p_1 - ( F_l \; p_{av} ) \;/\; ( Q_w \;/\; C_v \; F_l )^2 \) |
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| Symbol | English | Metric |
| \( Q_w \) = water flow rate | \(ft^3\;/\;sec\) | \(m^3\;/\;s\) |
| \( C_v \) = valve flow coefficient | \(dimensionless\) | \(dimensionless\) |
| \( F_l \) = id pressure recovery factor (= 0.9) | \(dimensionless\) | \(dimensionless\) |
| \( p_1 \) = primary pressure | \(lbf\;/\;in^2\) | \(Pa\) |
| \( F_f \) = liquid critical pressure ratio factor | \(dimensionless\) | \(dimensionless\) |
| \( p_{av} \) = absolute vapor pressure of the water at inlet temperature | \(lbf\;/\;in^2\) | \(Pa\) |
| \( SG \) = water specific gravity | \(dimensionless\) | \(dimensionless\) |
Tags: Flow Water Valve Sizing