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Hose Flow Rate Equation:
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The hose flow rate equation calculates the flow rate through a hose or valve based on the flow coefficient (Cv) and pressure differential (ΔP). This equation is commonly used in fluid dynamics and engineering to determine flow rates in various systems.
The calculator uses the flow rate equation:
Where:
Explanation: The equation shows that flow rate is proportional to the square root of the pressure differential, scaled by the flow coefficient which represents the flow capacity of the hose or valve.
Details: Accurate flow rate calculation is essential for system design, performance evaluation, and ensuring proper operation of fluid systems in various applications including irrigation, industrial processes, and fire protection.
Tips: Enter the flow coefficient (Cv) as a unitless value and pressure differential (ΔP) in psi. Both values must be positive numbers greater than zero.
Q1: What is the flow coefficient (Cv)?
A: The flow coefficient represents the flow capacity of a valve or hose - the number of US gallons per minute of water that will flow through the valve with a pressure drop of 1 psi.
Q2: What are typical Cv values for hoses?
A: Cv values vary significantly based on hose diameter, length, and material. Typical values range from 1-2 for small hoses to 100+ for large industrial hoses.
Q3: Why does flow rate depend on the square root of pressure?
A: This relationship comes from the Bernoulli equation and reflects the energy conservation principle in fluid dynamics, where velocity (and thus flow rate) is proportional to the square root of pressure difference.
Q4: Are there limitations to this equation?
A: This equation assumes turbulent flow, incompressible fluid, and constant density. It may be less accurate for very viscous fluids or extremely low flow rates where laminar flow occurs.
Q5: Can this calculator be used for gases?
A: While the basic principle is similar, gas flow calculations typically require additional factors for compressibility and may use different equations specifically designed for gases.