Vacuum Pump Flow Rate Calculation

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Vacuum Pump Flow Rate Calculator

Calculate the required pumping speed for your vacuum system.

Liters (L) Cubic Meters (m³) Cubic Feet (ft³) US Gallons
Typical range: 1.3 – 1.5 (accounts for leaks/outgassing)
Flow Rate (m³/h):
Flow Rate (CFM):
Flow Rate (L/min):
*Results include the selected Safety Factor.

Understanding Vacuum Pump Sizing

Selecting the correct vacuum pump is critical for process efficiency and equipment longevity. This Vacuum Pump Flow Rate Calculator helps engineers and technicians determine the minimum pumping speed (flow rate) required to evacuate a chamber of a known volume to a specific target pressure within a desired timeframe.

The Pump-Down Formula

The core calculation used in vacuum engineering to approximate the required pumping speed is based on the logarithmic decay of pressure over time. The formula used is:

S = (V / t) × ln(P₁ / P₂) × SF

  • S: Pumping Speed (Flow Rate)
  • V: System Volume
  • t: Pump-down Time
  • P₁: Initial Pressure (usually atmospheric, ~1013 mbar)
  • P₂: Target Pressure
  • SF: Safety Factor

Critical Factors in Calculation

1. Safety Factor (SF): Theoretical calculations assume a perfectly sealed vessel with no outgassing. In reality, every material releases gas under vacuum (outgassing) and minor leaks may exist. A safety factor of 1.3 to 1.5 is standard to ensure the pump is powerful enough to overcome these real-world losses.

2. Conductance Losses: This calculator provides the pumping speed required at the chamber. If you are connecting the pump via long or narrow tubing, conductance losses will restrict flow. You may need a pump with a higher rated speed to compensate for the piping impedance.

3. Pressure Regimes: This formula applies primarily to the rough and medium vacuum ranges (viscous flow). As you approach high vacuum (molecular flow), outgassing rates becomes the dominant factor over simple volume evacuation, and sizing becomes more complex.

Common Units

  • m³/h (Cubic Meters per Hour): Standard in Europe and Asia for industrial pumps.
  • CFM (Cubic Feet per Minute): Standard in North America.
  • L/min (Liters per Minute): Common for smaller laboratory pumps.

Use the calculator above to instantly convert between these metrics while determining your system requirements.

function calculateVacuumFlow() { // 1. Get DOM elements var volInput = document.getElementById("chamberVolume"); var unitSelect = document.getElementById("volumeUnit"); var timeInput = document.getElementById("pumpTime"); var sfInput = document.getElementById("safetyFactor"); var startPInput = document.getElementById("startPressure"); var endPInput = document.getElementById("endPressure"); var resDiv = document.getElementById("calcResults"); var errorDiv = document.getElementById("errorMsg"); var valM3H = document.getElementById("resM3H"); var valCFM = document.getElementById("resCFM"); var valLMin = document.getElementById("resLMin"); // 2. Parse values var volumeRaw = parseFloat(volInput.value); var unitMultiplier = parseFloat(unitSelect.value); var timeMinutes = parseFloat(timeInput.value); var safetyFactor = parseFloat(sfInput.value); var startP = parseFloat(startPInput.value); var endP = parseFloat(endPInput.value); // 3. Validation errorDiv.style.display = "none"; resDiv.style.display = "none"; if (isNaN(volumeRaw) || isNaN(timeMinutes) || isNaN(startP) || isNaN(endP) || isNaN(safetyFactor)) { errorDiv.innerText = "Please fill in all fields with valid numbers."; errorDiv.style.display = "block"; return; } if (volumeRaw <= 0 || timeMinutes <= 0 || startP <= 0 || endP <= 0 || safetyFactor = startP) { errorDiv.innerText = "Target Pressure must be lower than Start Pressure."; errorDiv.style.display = "block"; return; } // 4. Calculation Logic // Convert volume to Liters for standardized calculation var volumeLiters = volumeRaw * unitMultiplier; // Formula: S_eff (L/min) = (V / t) * ln(P1 / P2) // Natural Logarithm of pressure ratio var pressureRatioLog = Math.log(startP / endP); // Theoretical Speed in L/min var theoreticalSpeedLMin = (volumeLiters / timeMinutes) * pressureRatioLog; // Apply Safety Factor var requiredSpeedLMin = theoreticalSpeedLMin * safetyFactor; // 5. Unit Conversions // L/min to m3/h: (L/min * 60) / 1000 => L/min * 0.06 var requiredSpeedM3H = requiredSpeedLMin * 0.06; // L/min to CFM: L/min / 28.3168 var requiredSpeedCFM = requiredSpeedLMin / 28.3168; // 6. Display Results (formatting to 2 decimal places) valM3H.innerText = requiredSpeedM3H.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}); valCFM.innerText = requiredSpeedCFM.toLocaleString(undefined, {minimumFractionDigits: 2, maximumFractionDigits: 2}); valLMin.innerText = requiredSpeedLMin.toLocaleString(undefined, {minimumFractionDigits: 0, maximumFractionDigits: 0}); resDiv.style.display = "block"; }

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