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How Is Discharge Calculated

Flow Discharge Equation:

\[ Q = A \times v \]

m/s

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1. What Is Flow Discharge?

Flow discharge (Q) represents the volume of fluid passing through a cross-section per unit time. It is a fundamental parameter in fluid mechanics and hydrology used to quantify flow rates in pipes, channels, and rivers.

2. How Does The Calculator Work?

The calculator uses the basic flow discharge equation:

\[ Q = A \times v \]

Where:

Explanation: The equation calculates the volumetric flow rate by multiplying the cross-sectional area through which fluid flows by the average velocity of the fluid.

3. Importance Of Discharge Calculation

Details: Accurate discharge calculation is essential for hydraulic engineering, water resource management, environmental monitoring, and designing drainage systems, water supply networks, and irrigation channels.

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 area and velocity?
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 I use different units?
A: Yes, but ensure consistent units. For example, cm² and cm/s will give cm³/s, but you'll need to convert to standard units.

Q3: What if the cross-section is not uniform?
A: For non-uniform sections, use the average cross-sectional area or integrate the velocity profile across the section.

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

Q5: Where is this equation commonly applied?
A: This fundamental equation is used in pipe flow, open channel flow, river discharge measurements, and various hydraulic engineering applications.

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