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Flow Rate Equation:
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The flow rate equation \( Q = A \times v \) calculates the volumetric flow rate of a fluid by multiplying the cross-sectional area through which the fluid flows by the average velocity of the fluid. This fundamental equation is widely used in fluid dynamics and engineering applications.
The calculator uses the flow rate equation:
Where:
Explanation: This equation assumes uniform flow across the entire cross-section and is valid for incompressible fluids under steady flow conditions.
Details: Accurate flow rate calculation is essential for designing piping systems, determining pump requirements, analyzing fluid transport, and optimizing industrial processes involving fluid flow.
Tips: Enter the cross-sectional area in square meters and the average velocity in meters per second. Both values must be positive numbers for accurate calculation.
Q1: What units should I use for the inputs?
A: The calculator expects area in square meters (m²) and velocity in meters per second (m/s) to give flow rate in cubic meters per second (m³/s).
Q2: Can this equation be used for compressible fluids?
A: This simple form is primarily for incompressible fluids. For compressible fluids, additional factors like density changes must be considered.
Q3: What if the flow is not uniform across the cross-section?
A: For non-uniform flow, the velocity should be the average velocity across the entire cross-sectional area.
Q4: How does pressure relate to flow rate?
A: Pressure difference drives flow, but the relationship depends on fluid properties and system characteristics (described by equations like Bernoulli's or Hagen-Poiseuille).
Q5: Can I use this for open channel flow?
A: Yes, the equation applies to both closed conduits and open channels, though additional considerations may be needed for complex flow conditions.