How to Calculate Flow Rate in Pipe

Pipe Flow Rate Calculator

Calculation Results

Gallons per Minute (GPM)

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Cubic Feet per Second (CFS)

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Liters per Minute (LPM)

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Cubic Meters per Hour (m³/h)

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How to Calculate Flow Rate in a Pipe

Understanding how to calculate flow rate is essential for plumbing, irrigation, and industrial engineering. The flow rate ($Q$) represents the volume of fluid passing through a specific point in a pipe per unit of time.

The Basic Flow Rate Formula

The standard formula for calculating the flow rate in a circular pipe is:

Q = A × v

Where:

  • Q: Flow Rate (volume per time)
  • A: Cross-sectional Area of the pipe
  • v: Velocity of the fluid

Step-by-Step Calculation Guide

  1. Determine the Internal Diameter: Measure the inside diameter of the pipe. If you have a 2-inch pipe, ensure you are using the actual internal measurement, as wall thickness can vary.
  2. Calculate the Area: Use the formula for the area of a circle: $A = \pi \times r^2$. Note that $r$ is the radius (half the diameter). Convert your measurement to feet for standard imperial calculations.
  3. Measure Velocity: Determine how fast the fluid is moving in feet per second (fps).
  4. Multiply: Multiply the area by the velocity to get the flow rate in cubic feet per second (CFS).
  5. Convert Units: Convert CFS to Gallons Per Minute (GPM) by multiplying by 448.83.

Practical Example

Imagine you have a pipe with an internal diameter of 4 inches and water flowing at 6 feet per second.

  • Radius: 2 inches = 0.1667 feet
  • Area: $\pi \times (0.1667)^2 = 0.0872$ square feet
  • Flow (CFS): $0.0872 \times 6 = 0.523$ CFS
  • Flow (GPM): $0.523 \times 448.83 = 234.7$ GPM
function calculateFlowRate() { var diameterInches = document.getElementById('pipeDiameter').value; var velocity = document.getElementById('flowVelocity').value; if (diameterInches === "" || velocity === "" || diameterInches <= 0 || velocity <= 0) { alert("Please enter valid positive numbers for diameter and velocity."); return; } var d = parseFloat(diameterInches); var v = parseFloat(velocity); // 1. Convert diameter to feet var diameterFeet = d / 12; var radiusFeet = diameterFeet / 2; // 2. Calculate Area (sq feet) var area = Math.PI * Math.pow(radiusFeet, 2); // 3. Flow Rate in CFS var cfs = area * v; // 4. Conversion Factors var gpm = cfs * 448.831; var lpm = gpm * 3.78541; var m3h = cfs * 101.94; // Display Results document.getElementById('resCFS').innerText = cfs.toFixed(4); document.getElementById('resGPM').innerText = gpm.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}); document.getElementById('resLPM').innerText = lpm.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}); document.getElementById('resM3H').innerText = m3h.toFixed(2); document.getElementById('resultArea').style.display = 'block'; }

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