1. What is the Discharge Calculation Formula?

The discharge calculation formula (Q = A × v) is a fundamental equation in fluid mechanics that calculates the volumetric flow rate of a fluid through a pipe or channel. It relates the cross-sectional area of flow to the velocity of the fluid.

2. How Does the Calculator Work?

The calculator uses the discharge formula:

Where:

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

Explanation: The formula calculates the volume of fluid passing through a given cross-section per unit time, based on the area and velocity of flow.

3. Importance of Discharge Flow Rate Calculation

Details: Accurate discharge calculation is essential for designing hydraulic systems, sizing pumps and pipes, water resource management, and environmental engineering applications.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the inputs?
A: Use square meters (m²) for area and meters per second (m/s) for velocity to get discharge in cubic meters per second (m³/s).

Q2: Can this formula be used for any fluid?
A: Yes, the formula applies to all incompressible fluids, including water, oil, and most liquids under normal conditions.

Q3: What if the cross-section is not circular?
A: The formula works for any cross-sectional shape. Simply calculate the actual cross-sectional area perpendicular to flow direction.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact for uniform flow conditions. Real-world accuracy depends on measurement precision of area and velocity.

Q5: Can I use different units?
A: Yes, but ensure consistent units (e.g., cm² and cm/s for cm³/s output, or convert results accordingly).