1. What is the Discharge Formula?

The discharge formula (Q = V × A) calculates the rate of flow of a liquid by multiplying the velocity of flow by the cross-sectional area. This fundamental equation is widely used in fluid mechanics and hydrology.

2. How Does the Calculator Work?

The calculator uses the discharge formula:

Where:

• \( Q \) — Discharge (m³/s)
• \( V \) — Velocity of Flow (m/s)
• \( A \) — Area of Cross Section (m²)

Explanation: The formula represents the volume of fluid passing through a given cross-section per unit time.

3. Importance of Discharge Calculation

Details: Accurate discharge calculation is crucial for designing water supply systems, irrigation channels, drainage systems, and for environmental flow assessments.

4. Using the Calculator

Tips: Enter velocity in m/s and cross-sectional area in m². Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the inputs?
A: Velocity should be in meters per second (m/s) and area in square meters (m²) for the result in cubic meters per second (m³/s).

Q2: Can this formula be used for any fluid?
A: Yes, the formula Q = V × A applies to all incompressible fluids flowing through a defined cross-section.

Q3: What if the cross-section is not uniform?
A: For non-uniform cross-sections, the area should represent the average cross-sectional area perpendicular to the flow direction.

Q4: How accurate is this calculation?
A: The calculation assumes uniform velocity distribution across the cross-section. In real applications, velocity profiles may vary.

Q5: Can I use different units?
A: Yes, but ensure consistent units (e.g., if velocity is in ft/s, area should be in ft² for discharge in ft³/s).