Calculating Volumetric Flow Rate in a Pipe

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Volumetric Flow Rate Calculator

This calculator helps you determine the volumetric flow rate of a fluid moving through a pipe. Volumetric flow rate (often denoted by Q) is the volume of fluid that passes through a given cross-sectional area per unit of time. It's a crucial parameter in fluid mechanics, engineering, and many industrial processes for understanding fluid movement, pipe sizing, and system efficiency.





Result:

How it Works

The volumetric flow rate (Q) is calculated using the formula:

Q = A * v

Where:

  • Q is the volumetric flow rate (in cubic meters per second, m³/s).
  • A is the cross-sectional area of the pipe (in square meters, m²).
  • v is the average flow velocity of the fluid (in meters per second, m/s).
The cross-sectional area (A) of a circular pipe is calculated using the formula:

A = π * r²
or
A = π * (d/2)²

Where:
  • π (pi) is a mathematical constant approximately equal to 3.14159.
  • r is the radius of the pipe (in meters, m).
  • d is the diameter of the pipe (in meters, m).
This calculator first determines the pipe's cross-sectional area from its diameter and then multiplies it by the flow velocity to give the volumetric flow rate.

Example Calculation

Let's consider a pipe with a diameter of 0.2 meters and an average flow velocity of 3.0 meters per second.

1. Calculate the pipe's radius: Radius (r) = Diameter / 2 = 0.2 m / 2 = 0.1 m

2. Calculate the cross-sectional area (A): A = π * r² = 3.14159 * (0.1 m)² = 3.14159 * 0.01 m² = 0.0314159 m²

3. Calculate the volumetric flow rate (Q): Q = A * v = 0.0314159 m² * 3.0 m/s = 0.0942477 m³/s

So, the volumetric flow rate in this example is approximately 0.094 m³/s.

var pi = Math.PI; function calculateVolumetricFlowRate() { var diameter = parseFloat(document.getElementById("pipe-diameter").value); var velocity = parseFloat(document.getElementById("flow-velocity").value); var resultDiv = document.getElementById("result"); if (isNaN(diameter) || isNaN(velocity) || diameter <= 0 || velocity < 0) { resultDiv.innerHTML = "Please enter valid positive numbers for diameter and non-negative for velocity."; return; } var radius = diameter / 2; var area = pi * Math.pow(radius, 2); var flowRate = area * velocity; resultDiv.innerHTML = flowRate.toFixed(6) + " m³/s"; }

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