MachineCalcs

Expansion Tank Sizing Calculator

Size a closed-loop hydronic expansion tank from system volume, fluid expansion, cold fill pressure, relief setting, pressure margin, precharge and selected tank volume.

Hydraulics 11 inputs 11 results

Calculator

Total closed-loop fluid volume in boiler, piping, coils, heat exchangers and connected equipment.
gal
Use an entered expansion percent for most screens, or enter cold/hot densities for a specific fluid.
Fluid volume increase from cold fill temperature to maximum operating temperature.
%
Extra allowance added to the calculated expansion volume.
%
Gauge pressure at the expansion tank connection when the system is cold.
psi
Pressure relief setting. The calculator sizes below this by the entered margin.
psi
Margin below relief pressure reserved for operating tolerance and gauge uncertainty.
psi
Air-side tank precharge before the tank is connected to the filled system. It is usually set near cold fill pressure.
psi
Total shell volume of the tank being checked, not the catalog acceptance volume unless the manufacturer defines it that way.
gal

Results

Default result
Edit inputs
Minimum tank volume(Vt min)
9.173gal
Pass

Required acceptance volume divided by the tank acceptance factor.

Also computed

Required acceptance(Va req)Pass3.3gal

10.0% allowance added to raw fluid expansion.

Selected tank acceptance(Va sel)Pass5.396gal

Acceptance volume available between cold fill and working pressure limit for the entered precharge.

Selected tank utilization(U)Pass61.15%

Predicted max pressure(Pmax sel)Pass19.53psi

Back-solved from gas compression after the required acceptance volume enters the selected tank.

Pressure margin(dP)Pass7.47psi

Working pressure limit minus predicted selected-tank maximum pressure.

Fluid expansion used(e)3%

Entered fluid expansion percent.

Expansion tank preview: minimum tank volume 34.7 liters, selected tank utilization 61 percentExpansion tank sizingClosed-loop acceptance volume from fluid expansion and pressure rangeminimum tank volume34.7 Lselected max pressure19.5 psiUtilizationPressure marginScreen only. Final tanks need manufacturer acceptance charts, relief settings, boiler and code requirements, isolation, air removal and commissioning checks.
Method notes 4 notes
  • Raw fluid expansion is system volume times the entered expansion percent, or system volume times (cold density / hot density - 1) in density mode.
  • Tank acceptance uses absolute pressures. With precharge near cold fill pressure, acceptance factor is approximately 1 - Pfill_abs / Pwork_abs.
  • Selected-tank maximum pressure is back-solved with the ideal gas relation for the air side of a diaphragm or bladder tank.
  • This is a sizing screen only. Final selection needs manufacturer acceptance charts, relief settings, boiler and heat-exchanger limits, potable versus hydronic rules, isolation, air removal, glycol data, local code and commissioning checks.

Hydronic expansion tank sizing starts with fluid expansion volume, Ve = Vs*e, where Vs is the closed-loop system volume and e is the fluid expansion fraction. This calculator adds an acceptance allowance, computes the tank acceptance factor from absolute cold-fill, precharge and working pressures, then returns minimum tank volume, selected-tank utilization and predicted maximum pressure. It is not a manufacturer tank chart, relief-valve selection, plumbing-code or commissioning approval tool.

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All Hydraulics

How to use this calculator

  1. Enter system volume. Include boiler, piping, coils, heat exchangers and connected hydronic equipment.
  2. Set fluid expansion. Use an entered expansion percent, or switch to density ratio for a specific fluid and temperature range.
  3. Set pressure range. Enter cold fill pressure, relief setting, relief margin and tank precharge.
  4. Check selected tank. Enter the tank shell volume to see acceptance capacity, utilization and predicted maximum pressure.
  5. Verify boundaries. Confirm manufacturer tank acceptance, relief valve settings, equipment pressure limits, glycol data and local requirements.

How it works

The raw expansion volume is V_e = V_s e, where V_s is the closed-loop system volume and e is the fluid expansion fraction. In density mode, e = rho_c / rho_h - 1.

The working pressure limit is the relief valve setting minus the entered pressure margin. Tank acceptance uses absolute pressure. With precharge near cold fill pressure, the acceptance factor is approximately AF = 1 - P_fill,abs / P_work,abs.

Required tank shell volume is required acceptance divided by the acceptance factor. The selected-tank pressure check back-solves the gas side after the required expansion volume enters the selected tank.

Use adjacent hydronic and piping tools for the rest of the system: pipe volume, pipe pressure drop, pump NPSH and pipe insulation heat loss. For the exact sizing checklist, use the expansion tank size worksheet. For hydronic and boiler query wording, use the hydronic expansion tank calculator.

Worked example

Verified against the live calculator

With the defaults, a 100 gal hydronic loop with 3% fluid expansion and a 10% allowance needs about 3.3 gal of acceptance. With 12 psi cold fill, a 30 psi relief setting and a 3 psi relief margin, the minimum tank volume is about 9.2 gal. The entered 15 gal selected tank stays below the working pressure limit in this screen.

Frequently asked questions

How do you size a hydronic expansion tank?

Find the closed-loop system volume, multiply by the fluid expansion fraction, add a safety allowance, then divide by the tank acceptance factor over the cold-fill to working-pressure range.

What is tank acceptance volume?

Acceptance volume is the amount of expanded fluid the tank can accept between the cold fill pressure and the maximum working pressure. It is usually less than the tank shell volume.

Should precharge match the cold fill pressure?

For most hydronic diaphragm tank screens, precharge is set near the cold fill pressure before the tank is connected and the system is filled. Final setup follows the tank and boiler manufacturer instructions.

Does this replace manufacturer tank sizing charts?

No. This is a formula screen for acceptance volume and pressure range. Final tank selection still needs manufacturer acceptance data, relief settings, equipment limits and local code requirements.

Method & assumptions

  • System volume must include all connected closed-loop fluid volume.
  • Pressure calculations use absolute pressure internally; inputs and outputs show gauge pressure.
  • The relief pressure margin reserves room below the relief setting for operating tolerance and gauge uncertainty.
  • Tank precharge is checked against cold fill pressure, but final precharge setup follows manufacturer instructions.
  • Final selection still needs manufacturer tank acceptance charts, boiler and heat-exchanger pressure limits, relief valve requirements, glycol property data, potable versus hydronic rules, isolation/air-removal details, local code and commissioning checks.
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