1. What is the Flow Rate Equation?

The flow rate equation (Q = A × v) calculates the volumetric flow rate of a fluid by multiplying the cross-sectional area of flow by the average velocity of the fluid. This fundamental equation is used in fluid dynamics and engineering applications.

2. How Does the Calculator Work?

The calculator uses the flow rate equation:

Where:

• \( Q \) — Flow rate (m³/s)
• \( A \) — Cross-sectional area (m²)
• \( v \) — Velocity (m/s)

Explanation: This equation assumes uniform flow across the cross-section and is valid for incompressible fluids under steady flow conditions.

3. Importance of Flow Rate Calculation

Details: Flow rate calculation is essential in designing piping systems, irrigation systems, hydraulic engineering, and many industrial processes where fluid transport is involved.

4. Using the Calculator

Tips: Enter cross-sectional area in square meters (m²) and velocity in meters per second (m/s). Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for this calculation?
A: The calculator uses SI units: area in m², velocity in m/s, resulting in flow rate in m³/s. You can convert from other units before entering values.

Q2: Does this equation work for all fluids?
A: This equation works best for incompressible fluids (like water) under steady flow conditions. For compressible fluids, additional factors must be considered.

Q3: What if the cross-section is not uniform?
A: For non-uniform cross-sections, you may need to calculate the integral of velocity across the area or use the average velocity approximation.

Q4: Can I use this for open channel flow?
A: Yes, this equation can be used for open channel flow, but the velocity measurement should represent the average velocity across the cross-section.

Q5: How accurate is this calculation?
A: The accuracy depends on the precision of your area and velocity measurements. The equation itself is mathematically exact for the given assumptions.