Pipe Discharge Flow Rate Calculator

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Pipe Discharge Flow Rate Calculator

Calculate the volume of fluid passing through a pipe based on diameter and velocity.

Imperial (Inches / Feet per second) Metric (Millimeters / Meters per second)
Cubic Feet per Second (ft³/s):
Gallons Per Minute (GPM):
Cubic Meters per Hour (m³/h):
Liters Per Minute (L/min):

Understanding Pipe Discharge Flow Rate

The pipe discharge flow rate is a critical calculation for hydraulic engineers, plumbers, and irrigation specialists. It determines how much fluid (usually water) is moving through a pipe in a given timeframe. This calculation is governed by the continuity equation, which relates the cross-sectional area of the pipe to the velocity of the fluid.

The Flow Rate Formula

The basic formula used in this calculator is:

Q = A × v

  • Q: Flow rate (Discharge)
  • A: Cross-sectional area of the pipe (π × r²)
  • v: Average velocity of the fluid

Typical Velocity Ranges

When designing systems, engineers often aim for specific velocity ranges to prevent erosion or sediment buildup:

Application Recommended Velocity (ft/s) Recommended Velocity (m/s)
Water Supply Lines 3 – 7 ft/s 0.9 – 2.1 m/s
Gravity Sewer Lines 2 – 10 ft/s 0.6 – 3.0 m/s
Suction Lines (Pumps) 2 – 4 ft/s 0.6 – 1.2 m/s

Example Calculation

If you have a 6-inch (inner diameter) pipe and the water is moving at 4 feet per second:

  1. Convert diameter to feet: 6 inches / 12 = 0.5 feet.
  2. Calculate Radius: 0.5 / 2 = 0.25 feet.
  3. Calculate Area: π × (0.25)² ≈ 0.1963 sq ft.
  4. Calculate Flow Rate (CFS): 0.1963 × 4 = 0.7852 ft³/s.
  5. Convert to GPM: 0.7852 × 448.83 ≈ 352.4 GPM.
function updateLabels() { var system = document.getElementById("unitSystem").value; var labelD = document.getElementById("labelDiameter"); var labelV = document.getElementById("labelVelocity"); if (system === "imperial") { labelD.innerText = "Pipe Inner Diameter (Inches)"; labelV.innerText = "Flow Velocity (Feet per second)"; } else { labelD.innerText = "Pipe Inner Diameter (Millimeters)"; labelV.innerText = "Flow Velocity (Meters per second)"; } } function calculateFlow() { var system = document.getElementById("unitSystem").value; var dInput = parseFloat(document.getElementById("diameter").value); var vInput = parseFloat(document.getElementById("velocity").value); var resultsDiv = document.getElementById("results"); if (isNaN(dInput) || dInput <= 0 || isNaN(vInput) || vInput <= 0) { alert("Please enter valid positive numbers for diameter and velocity."); return; } var area, q_cfs, q_gpm, q_cmh, q_lpm; if (system === "imperial") { // d in inches, v in ft/s var radiusFeet = (dInput / 12) / 2; area = Math.PI * Math.pow(radiusFeet, 2); // sq ft q_cfs = area * vInput; // cubic feet per sec q_gpm = q_cfs * 448.831; q_cmh = q_cfs * 101.941; q_lpm = q_gpm * 3.78541; } else { // d in mm, v in m/s var radiusMeters = (dInput / 1000) / 2; area = Math.PI * Math.pow(radiusMeters, 2); // sq meters var q_cms = area * vInput; // cubic meters per sec q_cmh = q_cms * 3600; q_lpm = q_cms * 60000; q_cfs = q_cms * 35.3147; q_gpm = q_lpm / 3.78541; } document.getElementById("resCFS").innerText = q_cfs.toLocaleString(undefined, {minimumFractionDigits: 3, maximumFractionDigits: 3}); document.getElementById("resGPM").innerText = q_gpm.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}); document.getElementById("resCMH").innerText = q_cmh.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}); document.getElementById("resLPM").innerText = q_lpm.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}); resultsDiv.style.display = "block"; }

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