Gas Flow Rate Calculation

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Gas Flow Rate Calculator

Calculate the volumetric gas flow rate through a pipe based on internal diameter and flow velocity. This tool is essential for HVAC engineers, piping designers, and fluid dynamics analysis.

Inches mm Meters
Enter the inner diameter, not the outer diameter.
m/s ft/s
Average speed of the gas moving through the pipe.

Calculation Results

Cubic Meters per Hour:
Cubic Feet per Minute (CFM):
Liters per Minute (LPM):
Cubic Meters per Second:
Pipe Cross-Section Area: – m²

Understanding Gas Flow Rate

The volumetric flow rate of gas ($Q$) is a measure of the volume of gas passing through a cross-sectional area per unit of time. Unlike mass flow rate, which accounts for density and temperature changes, volumetric flow rate is strictly kinematic, calculated using the cross-sectional area of the pipe and the average velocity of the fluid.

The Formula

This calculator uses the continuity equation for incompressible flow:

Q = A × v

Where:

  • Q = Volumetric Flow Rate
  • A = Cross-sectional Area of the pipe ($\pi \times r^2$)
  • v = Average Flow Velocity

Why Velocity Matters

In gas piping design, velocity is a critical constraint.

  • Too High: Leads to excessive noise, vibration, and significant pressure drops due to friction.
  • Too Low: May result in sedimentation (if particulates are present) or require unnecessarily large and expensive piping.

Common Velocity Guidelines

Application Typical Velocity Range (m/s)
Compressed Air 6 – 15 m/s
Low Pressure Natural Gas 5 – 10 m/s
Industrial Ventilation 10 – 25 m/s
Steam (Saturated) 15 – 30 m/s

Example Calculation

Let's calculate the flow rate for a compressed air line.

  • Pipe Diameter: 4 inches
  • Gas Velocity: 20 m/s

Step 1: Convert Diameter to Meters
4 inches = 0.1016 meters

Step 2: Calculate Area
Radius ($r$) = 0.1016 / 2 = 0.0508 m
Area ($A$) = $\pi \times 0.0508^2 \approx 0.008107 m^2$

Step 3: Calculate Flow ($Q$)
$Q = 0.008107 m^2 \times 20 m/s = 0.16214 m^3/s$

Step 4: Convert Units
$0.16214 \times 3600 = 583.7 m^3/h$ (Cubic meters per hour)

function calculateGasFlow() { // 1. Get Input Values var diameterInput = document.getElementById("pipeDiameter").value; var diameterUnit = document.getElementById("diameterUnit").value; var velocityInput = document.getElementById("flowVelocity").value; var velocityUnit = document.getElementById("velocityUnit").value; // 2. Validate Inputs if (diameterInput === "" || velocityInput === "" || isNaN(diameterInput) || isNaN(velocityInput)) { alert("Please enter valid numeric values for both Diameter and Velocity."); return; } var diameter = parseFloat(diameterInput); var velocity = parseFloat(velocityInput); if (diameter <= 0 || velocity < 0) { alert("Diameter must be positive and Velocity cannot be negative."); return; } // 3. Normalize Diameter to Meters var diameterInMeters = 0; if (diameterUnit === "inch") { diameterInMeters = diameter * 0.0254; } else if (diameterUnit === "mm") { diameterInMeters = diameter / 1000; } else { diameterInMeters = diameter; // already in meters } // 4. Normalize Velocity to Meters per Second (m/s) var velocityInMs = 0; if (velocityUnit === "fts") { velocityInMs = velocity * 0.3048; } else { velocityInMs = velocity; // already in m/s } // 5. Calculate Cross-Sectional Area (A = pi * r^2) var radius = diameterInMeters / 2; var area = Math.PI * Math.pow(radius, 2); // 6. Calculate Flow Rate Q (Cubic meters per second) var flowM3s = area * velocityInMs; // 7. Convert Results to various units var flowM3h = flowM3s * 3600; // m3/h var flowLPM = flowM3s * 60000; // Liters per minute // 1 m3/s = 2118.88 CFM var flowCFM = flowM3s * 2118.880003; // 8. Display Results document.getElementById("resM3s").innerHTML = flowM3s.toFixed(5) + " m³/s"; document.getElementById("resM3h").innerHTML = flowM3h.toFixed(2) + " m³/h"; document.getElementById("resLPM").innerHTML = flowLPM.toFixed(2) + " L/min"; document.getElementById("resCFM").innerHTML = flowCFM.toFixed(2) + " CFM"; document.getElementById("resArea").innerHTML = area.toFixed(6) + " m²"; // Show results container document.getElementById("results").style.display = "block"; }

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