Tubing Flow Rate Calculator

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Tubing Flow Rate Calculator

Calculate volumetric liquid flow based on inner diameter and velocity.

mm inch cm
Measure the hole, not the outer wall.
m/s ft/s mph
Speed of fluid moving through the tube.

Calculation Results

Litres per Minute:
Gallons (US) per Minute:
Litres per Hour:
Cubic Meters per Hour:
Cross-Sectional Area: mm²

Understanding Tubing Flow Rates

Accurately calculating the flow rate of fluid through tubing is essential for various applications, ranging from aquarium plumbing and hydroponics to medical IV drips and industrial hydraulic systems. The flow rate determines how much volume of liquid is transported over a specific period.

The Flow Rate Formula

The volumetric flow rate ($Q$) is calculated based on the cross-sectional area of the tubing ($A$) and the average velocity of the fluid ($v$). The fundamental equation used in this calculator is:

$$Q = A \times v$$

Where:

  • Q is the volumetric flow rate (e.g., Litres per Minute).
  • A is the cross-sectional area of the tube's inner space.
  • v is the velocity at which the fluid travels.

Why Inner Diameter (ID) Matters

When selecting tubing (e.g., PVC, silicone, or copper), manufacturers often list both Outer Diameter (OD) and Inner Diameter (ID). You must always use the Inner Diameter for flow calculations. The wall thickness of the tubing reduces the available area for fluid flow. Using the OD will result in a gross overestimation of your system's capacity.

The area is derived from the ID using the circle area formula: $A = \pi \times (ID/2)^2$.

Typical Velocity Ranges

If you aren't sure what velocity to input, here are common standards:

  • Gravity Flow (low pressure): 0.5 to 1.5 m/s
  • Suction Lines (Pump inlet): 0.6 to 1.2 m/s (to prevent cavitation)
  • Pressure Lines (Pump outlet): 1.5 to 3.0 m/s
  • Industrial Water Supply: 1.0 to 2.5 m/s

Example Calculation

Imagine you have a standard 1/2 inch (12.7mm) ID tubing and the water is being pumped at a velocity of 2 meters per second.

  1. First, calculate the radius: $12.7mm / 2 = 6.35mm$.
  2. Convert to meters: $0.00635m$.
  3. Calculate Area: $\pi \times 0.00635^2 \approx 0.0001267 m^2$.
  4. Calculate Flow: $0.0001267 m^2 \times 2 m/s = 0.0002534 m^3/s$.
  5. Convert to Litres per Minute: $0.0002534 \times 60,000 \approx 15.2 LPM$.
function calculateTubingFlow() { // 1. Get Input Values var diameterInput = document.getElementById('tubing_id').value; var velocityInput = document.getElementById('fluid_velocity').value; var diameterUnit = document.getElementById('id_unit').value; var velocityUnit = document.getElementById('velocity_unit').value; // 2. Validate Inputs if (diameterInput === "" || velocityInput === "" || isNaN(diameterInput) || isNaN(velocityInput)) { alert("Please enter valid numerical 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 === 'mm') { diameterInMeters = diameter / 1000; } else if (diameterUnit === 'inch') { diameterInMeters = diameter * 0.0254; } else if (diameterUnit === 'cm') { diameterInMeters = diameter / 100; } // 4. Normalize Velocity to Meters per Second (m/s) var velocityInMps = 0; if (velocityUnit === 'mps') { velocityInMps = velocity; } else if (velocityUnit === 'fps') { velocityInMps = velocity * 0.3048; } else if (velocityUnit === 'mph') { velocityInMps = velocity * 0.44704; } // 5. Calculate Cross-Sectional Area (A = pi * r^2) var radius = diameterInMeters / 2; var areaM2 = Math.PI * Math.pow(radius, 2); // Calculate Area in mm^2 for display var areaMM2 = areaM2 * 1000000; // 6. Calculate Flow Rate (Q = A * v) in Cubic Meters per Second var flowM3s = areaM2 * velocityInMps; // 7. Convert Output Units // Litres per Minute (1 m3/s = 60,000 L/min) var flowLPM = flowM3s * 60000; // US Gallons per Minute (1 m3/s = 15,850.3231 GPM) var flowGPM = flowM3s * 15850.3231; // Litres per Hour var flowLPH = flowLPM * 60; // Cubic Meters per Hour var flowCMH = flowM3s * 3600; // 8. Display Results document.getElementById('res_lpm').innerHTML = flowLPM.toFixed(2) + " L/min"; document.getElementById('res_gpm').innerHTML = flowGPM.toFixed(2) + " GPM"; document.getElementById('res_lph').innerHTML = flowLPH.toLocaleString(undefined, {minimumFractionDigits: 0, maximumFractionDigits: 0}) + " L/hr"; document.getElementById('res_cmh').innerHTML = flowCMH.toFixed(3) + " m³/h"; document.getElementById('res_area').innerHTML = areaMM2.toFixed(2); // Show result container document.getElementById('tfr_results_area').style.display = "block"; }

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