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Fluid Velocity Formula:
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The fluid velocity formula calculates the speed at which a fluid flows through a given cross-sectional area. It is derived from the continuity equation and is fundamental in fluid dynamics and engineering applications.
The calculator uses the fluid velocity formula:
Where:
Explanation: The formula shows that fluid velocity is directly proportional to the flow rate and inversely proportional to the cross-sectional area through which the fluid flows.
Details: Calculating fluid velocity is essential for designing piping systems, analyzing flow in channels, determining pressure drops, and optimizing fluid transport in various engineering applications.
Tips: Enter flow rate in m³/s and cross-sectional area in m². Both values must be positive numbers greater than zero for accurate calculation.
Q1: What units should I use for this calculation?
A: The calculator uses SI units: flow rate in cubic meters per second (m³/s) and area in square meters (m²), resulting in velocity in meters per second (m/s).
Q2: Can this formula be used for compressible fluids?
A: This simple formula works best for incompressible fluids. For compressible fluids, additional factors like density changes must be considered.
Q3: How does pipe diameter affect fluid velocity?
A: For a constant flow rate, velocity increases as pipe diameter decreases, following an inverse square relationship with cross-sectional area.
Q4: What is a typical fluid velocity in piping systems?
A: Typical velocities range from 1-3 m/s for water in pipes, though optimal velocities depend on the specific application and fluid properties.
Q5: How does viscosity affect fluid velocity?
A: While this formula doesn't directly account for viscosity, viscous effects influence the flow profile and may require more complex calculations for accurate results.