Pumping Speed Calculator

Compute pumping speed from gas load, pressure, and chamber volume today easily. See effective speed with conductance, then download neat CSV or PDF files.

Choose a method, enter values, and calculate.
Your latest result can be exported as CSV or PDF.
Units-aware Three calculation modes
Changing mode refreshes the visible inputs.
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Formulas used

  • Throughput method: S = Q / P where Q is gas throughput and P is pressure.
  • Pressure decay method: S = (V / t) · ln(P0 / P1) for exponential pumpdown.
  • Effective speed: Seff = 1 / (1/S + 1/C) combining pump speed with line conductance.
Notes: Real systems may include outgassing, leaks, and pressure-dependent speed.

How to use this calculator

  1. Select a calculation mode that matches your data.
  2. Enter values and choose units for each input.
  3. Click Calculate to view results above the form.
  4. If needed, include an extra gas load in throughput mode.
  5. Use the download buttons to export your latest result.

Example data table

Scenario Inputs Computed speed Comment
Throughput Q = 150 mbar·L/s, P = 0.5 mbar S = 300 L/s Good for steady-state gas load estimates.
Decay V = 50 L, P0 = 10 mbar, P1 = 1 mbar, t = 120 s S ≈ 0.96 L/s Reflects average speed over the interval.
Conductance S = 250 L/s, C = 80 L/s Seff ≈ 60.6 L/s Line limits speed; shorten or widen plumbing.

Practical guidance

  • Use consistent units; pressure must be positive.
  • For decay mode, ensure P1 < P0.
  • If results look small, conductance may dominate.
  • Consider adding a separate gas load estimate for outgassing.

Professional article

1) What pumping speed represents

Pumping speed, S, is the volumetric flow rate removed at the inlet. In vacuum practice it is stated in liters per second and links pressure and throughput using Q = P·S. This calculator turns measurements into comparable speed values for troubleshooting and sizing new vacuum lines.

2) Throughput method for steady gas load

Near steady state, gas load is expressed as throughput Q from leaks, permeation, or outgassing estimates. Dividing Q by the measured pressure P yields S. Example: 150 mbar·L/s at 0.5 mbar gives 300 L/s, matching the table.

3) Pressure decay method during pumpdown

Pumpdown data provides another route. For chamber volume V, pressure may fall roughly exponentially over a chosen interval. Using S = (V/t)·ln(P0/P1) gives the average speed. Choose P0 and P1 in one regime, and use t in seconds. A 50 L chamber dropping from 10 to 1 mbar in 120 s gives ~0.96 L/s.

4) Conductance limits real performance

High pump ratings do not guarantee high chamber speed. Tubing, valves, and traps introduce conductance limits, so the chamber sees Seff = 1/(1/S + 1/C). The smaller of S and C dominates. With S = 250 L/s and C = 80 L/s, Seff is about 60.6 L/s.

5) Unit handling and practical reporting

Vacuum work mixes Pa, mbar, and Torr for pressure, plus liters or cubic meters for volume. The calculator converts common units internally and reports both L/s and m³/s, helping produce consistent lab notes, acceptance checks, and service records across teams.

6) Interpreting results across regimes

Speed can vary with pressure because flow changes from viscous to transitional and molecular. Conductance often decreases sharply in molecular flow for long, narrow lines, while pump curves may also drop at higher pressures. Compare results in similar pressure ranges when benchmarking.

7) Accounting for leaks and outgassing

Real chambers often have continuous gas sources that set a pressure floor. The optional extra throughput field lets you add a known leak or outgassing contribution when applying S = Q/P, improving realism when pressures stabilize after initial pumpdown.

8) Good measurement practice

Record gauge type and placement, because readings near the pump can differ from chamber pressure. Note valve positions, line geometry, and temperature. Repeat calculations at more than one pressure point to spot conductance limits or unexpected gas loads. Exporting results supports traceability and reduces transcription errors during technical review.

FAQs

1) What is the difference between S and Seff?

S is the pump’s inlet speed or a calculated inlet value. Seff is the speed seen by the chamber after losses in lines, valves, or traps, computed using the conductance relation in the effective-speed mode.

2) Why must P1 be smaller than P0 in decay mode?

The logarithm ln(P0/P1) requires P0/P1 greater than one. If pressure rises or stays flat, the interval is not a true pumpdown segment, or gas sources dominate the behavior.

3) Which throughput units are most common?

Many specifications use mbar·L/s or Torr·L/s for leaks and gas loads. This tool also supports Pa·m³/s so you can work directly in SI units when required.

4) Does this calculator include pressure-dependent pump curves?

No. It computes speed from your inputs and simple network rules. If speed changes with pressure, analyze separate intervals and compare results to the manufacturer curve at the same pressure.

5) What is the time constant τ shown in decay mode?

For exponential pumpdown, τ is approximately V/S. It is the time for pressure to fall by a factor of e when other effects are small, and it helps compare system responsiveness.

6) How can I improve effective pumping speed?

Increase conductance by shortening lines, using larger diameters, minimizing restrictive valves, and reducing sharp bends. Place the pump close to the chamber and confirm traps or screens are not obstructed.

7) Why export results as CSV or PDF?

Exports capture inputs and outputs from the latest run for documentation. CSV supports quick plotting and comparisons, while PDF provides a simple attachment for work orders, acceptance packages, and review notes.

Use clean inputs, verify units, and document calculations always.

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