1. What Is The Pipe Discharge Equation?

The pipe discharge equation (Q = A × v) calculates the volumetric flow rate of fluid through a pipe, where Q is the discharge, A is the cross-sectional area, and v is the flow velocity.

2. How Does The Calculator Work?

The calculator uses the pipe discharge equation:

Where:

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

Explanation: This fundamental equation in fluid mechanics relates the flow rate to the pipe's cross-sectional area and the average velocity of the fluid.

3. Importance Of Discharge Calculation

Details: Calculating pipe discharge is essential for designing water supply systems, irrigation networks, industrial piping, and hydraulic engineering projects to ensure adequate flow capacity.

4. Using The Calculator

Tips: Enter the cross-sectional area in square meters and flow velocity in meters per second. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How do I calculate cross-sectional area for a circular pipe?
A: For circular pipes, A = π × r², where r is the radius of the pipe.

Q2: What is a typical flow velocity in pipes?
A: Typical velocities range from 0.5-3 m/s for water systems, with higher velocities potentially causing erosion and pressure loss.

Q3: Can this equation be used for any fluid?
A: Yes, the equation Q = A × v applies to any incompressible fluid flowing through a pipe.

Q4: How does pipe material affect discharge?
A: Pipe material affects flow resistance (friction) which influences velocity, but the fundamental equation Q = A × v remains valid.

Q5: What if the pipe has a non-circular cross-section?
A: The equation still applies, but you'll need to calculate the appropriate cross-sectional area based on the pipe's geometry.