1. What is the Flow Rate Equation?

The flow rate equation (Q = A × v) calculates the volumetric flow rate of a fluid based on its cross-sectional area and flow velocity. It's fundamental in fluid dynamics and engineering applications.

2. How Does the Calculator Work?

The calculator uses the flow rate equation:

Where:

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

Explanation: The equation shows that flow rate is directly proportional to both the cross-sectional area of the pipe/channel and the velocity of the fluid.

3. Importance of Flow Rate Calculation

Details: Flow rate calculations are essential for designing piping systems, calculating pump requirements, determining pipe sizes, and analyzing fluid transport in various engineering applications.

4. Using the Calculator

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.

5. Frequently Asked Questions (FAQ)

Q1: What are typical flow rate units?
A: Common units include m³/s (SI), L/s, m³/h, gallons per minute (gpm), and cubic feet per second (cfs).

Q2: How does pipe diameter affect flow rate?
A: For a given velocity, flow rate increases with the square of the pipe diameter (since area = πr²).

Q3: What's the difference between flow rate and flow velocity?
A: Flow rate (Q) is the volume of fluid passing per unit time, while velocity (v) is the speed at which the fluid moves.

Q4: Does this equation work for compressible fluids?
A: This simple form works for incompressible fluids. For compressible fluids (like gases), additional factors must be considered.

Q5: How is this related to the continuity equation?
A: The continuity equation (A₁v₁ = A₂v₂) is derived from conservation of mass using the flow rate equation.