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Hydraulic Fluid Flow Rate Equation:
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The hydraulic fluid flow rate equation (Q = A × v) calculates the volumetric flow rate of fluid in a hydraulic system. It's a fundamental equation in fluid mechanics that relates the cross-sectional area of flow to the velocity of the fluid.
The calculator uses the flow rate equation:
Where:
Explanation: This equation demonstrates that flow rate is directly proportional to both the cross-sectional area of the pipe or channel and the velocity of the fluid.
Details: Accurate flow rate calculation is essential for designing hydraulic systems, determining pump requirements, ensuring proper system operation, and calculating energy requirements in fluid transport systems.
Tips: Enter the cross-sectional area in square meters (m²) and the flow velocity in meters per second (m/s). Both values must be positive numbers greater than zero.
Q1: What units should I use for the inputs?
A: For consistent results, use square meters (m²) for area and meters per second (m/s) for velocity. The result will be in cubic meters per second (m³/s).
Q2: Can this equation be used for all types of fluids?
A: Yes, this fundamental equation applies to all Newtonian fluids, though additional factors may need consideration for non-Newtonian fluids.
Q3: How does pipe diameter relate to this calculation?
A: For circular pipes, the cross-sectional area A = π × (diameter/2)². You would need to calculate area first before using this calculator.
Q4: What if I have flow rate and need to find velocity or area?
A: The equation can be rearranged: v = Q/A for velocity, or A = Q/v for cross-sectional area.
Q5: Are there limitations to this equation?
A: This is a simplified equation that assumes uniform flow velocity across the cross-section. In real applications, velocity profiles may not be uniform, requiring more complex calculations.