1. What is the Discharge Calculation Formula?

The discharge calculation formula (Q = A × v) is used to determine the volumetric flow rate of a fluid through a given cross-sectional area. It's fundamental in fluid mechanics and hydraulic engineering.

2. How Does the Calculator Work?

The calculator uses the discharge equation:

Where:

• \( Q \) — Discharge (m³/s)
• \( A \) — Cross-sectional area (m²)
• \( v \) — Velocity of the fluid (m/s)

Explanation: The equation calculates the volume of fluid passing through a given area per unit time.

3. Importance of Discharge Calculation

Details: Accurate discharge calculation is crucial for designing water supply systems, irrigation channels, hydroelectric plants, and flood control measures.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What units should be used for the calculation?
A: The calculator uses SI units - square meters for area and meters per second for velocity, resulting in cubic meters per second for discharge.

Q2: Can this be used for any fluid?
A: Yes, the formula works for any incompressible fluid (water, oil, etc.) flowing through a defined cross-section.

Q3: How accurate is this calculation?
A: The calculation is mathematically exact, but accuracy depends on precise measurement of area and velocity in real-world applications.

Q4: What if the cross-section isn't uniform?
A: For non-uniform cross-sections, you may need to calculate average values or use integration for more precise results.

Q5: How does this relate to pipe flow?
A: For circular pipes, area A = πr² where r is the pipe radius. The formula then becomes Q = πr²v.