Cv Flow Calculator (Valve Flow Coefficient)
Find liquid flow through a valve from its Cv and pressure drop.
The valve flow coefficient Cv expresses how much liquid a valve passes per unit pressure drop.
How the Math Works
The Cv Flow Calculator uses the fundamental valve flow equation Q = Cv·√(ΔP ÷ SG) to determine liquid flow rate. Here, Q represents the flow rate in US gallons per minute, Cv is the valve's flow coefficient that characterizes its flow capacity, ΔP is the pressure drop across the valve in psi, and SG is the fluid's specific gravity relative to water. The square root relationship reflects how flow increases with the square root of pressure differential, while specific gravity normalizes the calculation for different fluid densities. This equation assumes fully developed turbulent flow and incompressible liquids.
Practical Applications
Engineers and technicians use this calculation during system design and troubleshooting to size valves correctly and predict system performance. By entering a valve's Cv rating and the expected pressure drop, you can verify if a valve will handle the required flow rate without excessive pressure loss. This is critical in chemical processing, water treatment, HVAC systems, and hydraulic circuits where maintaining proper flow rates ensures equipment operates efficiently and safely. The calculator quickly evaluates multiple valve options by testing different Cv values.
Day-to-Day Use
This calculation helps ensure that everyday systems you encounter work properly - from the pressure-compensating shower valve that maintains consistent water temperature to the irrigation systems that deliver water evenly across your garden. When replacing valves in your home's plumbing or industrial processes, knowing the required flow characteristics prevents problems like low water pressure, overheating equipment, or inefficient processes that waste energy and resources.
Worked example
Cv = 10, ΔP = 5 psi, water → about 22.4 GPM.
FAQ
What does Cv = 1 mean?
1 GPM of water flows with a 1 psi pressure drop.