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Calculate Flow Rate With Pressure

Flow Rate Equation:

\[ Q = C \times A \times \sqrt{2 \times g \times h} \]

(unitless)
m/s²
m

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1. What is the Flow Rate Equation?

The flow rate equation \( Q = C \times A \times \sqrt{2 \times g \times h} \) calculates the volumetric flow rate of a fluid through an orifice or opening, where C is the discharge coefficient, A is the cross-sectional area, g is gravitational acceleration, and h is the pressure head.

2. How Does the Calculator Work?

The calculator uses the flow rate equation:

\[ Q = C \times A \times \sqrt{2 \times g \times h} \]

Where:

Explanation: The equation calculates how much fluid flows through an opening based on the pressure difference and opening characteristics.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate calculation is essential for designing fluid systems, determining pipe sizes, optimizing pump performance, and ensuring proper system operation in various engineering applications.

4. Using the Calculator

Tips: Enter the discharge coefficient (typically between 0.6-1.0), cross-sectional area in square meters, gravitational acceleration (9.81 m/s² on Earth), and pressure head in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the discharge coefficient (C)?
A: The discharge coefficient accounts for energy losses and flow contraction through an opening. It varies based on the geometry of the opening and typically ranges from 0.6 to 1.0.

Q2: Can this equation be used for any fluid?
A: This equation works best for incompressible fluids like water. For compressible fluids or gases, additional factors need to be considered.

Q3: What is pressure head (h)?
A: Pressure head represents the height of a fluid column that would produce the given pressure. It's measured in meters of the fluid.

Q4: Are there limitations to this equation?
A: This equation assumes steady flow, incompressible fluid, and no significant viscosity effects. It's most accurate for sharp-edged orifices and short pipes.

Q5: How does temperature affect the calculation?
A: Temperature affects fluid density and viscosity, which may influence the discharge coefficient. For precise calculations, temperature corrections may be needed.

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