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How To Calculate Discharge

Volumetric Flow Rate Equation:

\[ Q = A \times v \]

m/s

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1. What Is Volumetric Flow Rate?

Volumetric flow rate (discharge) is the volume of fluid that passes through a given cross-sectional area per unit time. It is a fundamental concept in fluid dynamics and hydraulics, used to quantify fluid movement in pipes, channels, and rivers.

2. How Does The Calculator Work?

The calculator uses the volumetric flow rate equation:

\[ Q = A \times v \]

Where:

Explanation: The equation calculates how much fluid volume passes through a specific area in one second, based on the speed of the fluid flow.

3. Importance Of Discharge Calculation

Details: Accurate discharge calculation is essential for designing water supply systems, irrigation networks, hydraulic structures, environmental monitoring, and industrial fluid transport systems.

4. Using The Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between volumetric and mass flow rate?
A: Volumetric flow rate measures volume per time (m³/s), while mass flow rate measures mass per time (kg/s). They are related by fluid density.

Q2: How do I measure cross-sectional area for irregular shapes?
A: For irregular channels, divide the cross-section into regular geometric shapes, calculate each area separately, then sum them together.

Q3: What affects flow velocity in pipes?
A: Velocity depends on pipe diameter, fluid viscosity, pressure gradient, and pipe roughness according to the Hagen-Poiseuille equation.

Q4: Can this equation be used for compressible fluids?
A: This simple form is for incompressible fluids. For compressible fluids (gases), additional factors like density changes must be considered.

Q5: What are typical flow rates in domestic water systems?
A: Typical household water flow rates range from 0.0001 to 0.001 m³/s (0.1-1 L/s) depending on fixture type and water pressure.

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