Flow Rate Calculator Pipe

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Pipe Flow Rate Calculator

Determine volumetric flow rate based on pipe diameter and velocity.

mm cm meters inches
m/s ft/s
Please enter valid positive numbers for diameter and velocity.

Calculation Results

Cubic Meters per Hour: 0 m³/h
Liters per Minute: 0 L/min
US Gallons per Minute: 0 GPM
Liters per Second: 0 L/s
Cross-Sectional Area: 0 mm²

Understanding Pipe Flow Rate

Calculating the flow rate of fluid through a pipe is a fundamental task in hydraulic engineering, plumbing, and irrigation system design. The volumetric flow rate determines how much fluid passes through a specific cross-section of a pipe within a given time frame.

The Flow Rate Formula

The calculation uses the continuity equation for incompressible fluids. The basic formula is:

Q = A × v

Where:

  • Q = Volumetric Flow Rate
  • A = Cross-sectional Area of the pipe
  • v = Average Velocity of the fluid

How to Calculate Area

Since pipes are generally circular, the cross-sectional area is calculated using the pipe's inner diameter:

A = π × (Diameter / 2)² or A = (π × Diameter²) / 4

Why Inner Diameter Matters

When measuring your pipe, it is critical to use the Inner Diameter (ID), not the outer diameter. The wall thickness of the pipe does not carry fluid. For standard pipes (like Schedule 40 PVC), the inner diameter differs significantly from the nominal pipe size.

Common Flow Rate Units

  • m³/h (Cubic meters per hour): Commonly used in industrial pump specifications and large water treatment plants.
  • L/min (Liters per minute): Standard for household plumbing fixtures and showers.
  • GPM (Gallons per minute): The standard unit in the United States for pumps, irrigation, and plumbing.
  • ft/s or m/s: These measure velocity, not volume, but are crucial for preventing water hammer or pipe erosion.

Typical Flow Velocities

Design engineers often aim for specific velocity ranges to maintain efficiency:

  • Water Supply: 0.9 to 2.4 m/s (3 to 8 ft/s)
  • Drainage: High enough to be self-cleaning, but low enough to prevent noise.
  • Suction Lines: Lower velocities are preferred to prevent cavitation.
function calculatePipeFlow() { // 1. Get input values var diameterInput = document.getElementById("pipeDiameter").value; var velocityInput = document.getElementById("flowVelocity").value; var dUnit = document.getElementById("diameterUnit").value; var vUnit = document.getElementById("velocityUnit").value; var errorDiv = document.getElementById("error-message"); var resultsDiv = document.getElementById("results-area"); // 2. Validate inputs if (diameterInput === "" || velocityInput === "" || isNaN(diameterInput) || isNaN(velocityInput)) { errorDiv.style.display = "block"; resultsDiv.style.display = "none"; return; } var d = parseFloat(diameterInput); var v = parseFloat(velocityInput); if (d <= 0 || v < 0) { errorDiv.style.display = "block"; errorDiv.innerText = "Diameter must be positive and velocity cannot be negative."; resultsDiv.style.display = "none"; return; } // Hide error if valid errorDiv.style.display = "none"; // 3. Normalize inputs to SI Standard Units (Meters for Length, Meters/Second for Velocity) var diameterInMeters = 0; // Convert Diameter to Meters if (dUnit === "mm") { diameterInMeters = d / 1000; } else if (dUnit === "cm") { diameterInMeters = d / 100; } else if (dUnit === "m") { diameterInMeters = d; } else if (dUnit === "in") { diameterInMeters = d * 0.0254; } var velocityInMetersPerSecond = 0; // Convert Velocity to m/s if (vUnit === "ms") { velocityInMetersPerSecond = v; } else if (vUnit === "fts") { velocityInMetersPerSecond = v * 0.3048; } // 4. Calculate Area (A = pi * r^2) var radius = diameterInMeters / 2; var areaM2 = Math.PI * Math.pow(radius, 2); // 5. Calculate Flow Rate (Q = A * v) result in m^3/s var flowRateM3s = areaM2 * velocityInMetersPerSecond; // 6. Convert Flow Rate to display units var m3h = flowRateM3s * 3600; // Cubic meters per hour var lpm = flowRateM3s * 60000; // Liters per minute var lps = flowRateM3s * 1000; // Liters per second var gpm = flowRateM3s * 15850.32314; // US Gallons per minute // Area for display (mm^2 is often useful reference) var areaMm2 = areaM2 * 1000000; // 7. Display Results document.getElementById("res-m3h").innerText = m3h.toFixed(4) + " m³/h"; document.getElementById("res-lpm").innerText = lpm.toFixed(2) + " L/min"; document.getElementById("res-gpm").innerText = gpm.toFixed(2) + " GPM"; document.getElementById("res-lps").innerText = lps.toFixed(3) + " L/s"; document.getElementById("res-area").innerText = areaMm2.toFixed(2) + " mm²"; resultsDiv.style.display = "block"; }

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