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Expansion tank sizing calculator

Enter system volume, temperatures and pressures. The page computes how much the liquid grows when heated, the fill pressure and the maximum allowed by the relief valve, and the volume of a diaphragm or plain tank.

Pre-sizing and estimating tool: results do not replace design, calculations or reports signed by a licensed professional, nor verification against the applicable codes and standards.

Pre-sizing
Fluid and system
Pressures

The tank is assumed at or near the pump suction, the loop’s point of no pressure change.

—Total expansion tank volume
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Tank volume versus maximum pressure

Same expansion and fill pressure; only the maximum pressure allowed at the tank changes.

Tap the chart to see the values.

Net expansion versus maximum temperature

Liquid volume increase net of pipe expansion, as % of system volume.

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Method, assumptions and references

Equations used

Acceptance volume: Va = Vs · [(v2 ÷ v1 − 1) − 3α · (t2 − t1)], with v = 1 ÷ ρ of the fluid
Diaphragm tank (ASHRAE): Vt = Va ÷ (1 − P1 ÷ P2); plain tank: Vt = Va ÷ (Pa ÷ P1 − Pa ÷ P2), absolute pressures
Fill: P1 = ρ · g · H + Pmin at the high point; maximum: P2 = Prelief · (1 − margin) + ρ · g · Δz
Maximum pressure with the standard tank (diaphragm): P2′ = P1 ÷ (1 − Va ÷ Vstandard)

Assumptions and limits

  • Isothermal gas compression (Boyle’s law) and tank at the pump suction; water from IAPWS and glycol from typical manufacturer tables.
  • Linear pipe α: steel 6.5 × 10⁻⁶/°F and copper 9.5 × 10⁻⁶/°F (ASHRAE); plastic piping and trapped air are not considered.
  • Standard sizes are a typical market list; check the model’s maximum acceptance volume with the manufacturer, which can be less than total volume in partial-acceptance bladder tanks.

Standards and technical documents

  • ASHRAE Handbook — HVAC Systems and Equipment, chapter “Hydronic Heating and Cooling” (expansion tank equations)
  • IAPWS-IF97: water density
  • UNE 100155: Climatización. Diseño y cálculo de sistemas de expansión
  • Dow, DOWTHERM SR-1 and DOWFROST HD engineering guides (glycol density)
  • ASME Boiler and Pressure Vessel Code, Section VIII, Division 1 (tank construction)

U.S. regulations

  • ASME Boiler and Pressure Vessel Code, Section IV (heating boilers) and CSD-1 (controls and safety devices), adopted by state boiler laws
  • International Mechanical Code (IMC), Chapter 10 (Section 1009, expansion tanks) and Chapter 12 (hydronic piping)

Frequently asked questions

What does an expansion tank do?

In a closed loop, water grows in volume as it heats and, since it does not compress, pressure would rise until the relief valve opens. The tank stores that extra volume against a cushion of compressed air or gas and keeps pressure between fill and maximum. It applies to heating, chilled water and glycol loops.

How is the tank volume calculated?

First the net expansion: Va = Vs × [(v2/v1 − 1) − 3α·Δt], which in the example gives 22.1 gal for an 800 gal system from 50 to 180 °F. Then divide by the diaphragm tank acceptance factor, 1 − P1/P2 in absolute pressure: with 25.7 psig fill and 45 psig maximum, 32%. The tank needs 68 gal, and the next standard size is 86 gal.

What should the tank precharge be?

In a diaphragm tank, precharge should equal the fill pressure at the tank location: the static height of water above it (0.433 psi per foot) plus the minimum pressure wanted at the high point, usually 4 to 7 psi. In the example, 50 ft of height gives 25.7 psig. Set the precharge with the tank isolated and empty of water, before filling the system.

How do I estimate the system water volume?

Add equipment contents from the data sheets (boiler, chiller, exchangers, buffer tanks, coils) to the pipe volume: about 0.66 gal per foot of 4" pipe and 1.50 gal/ft of 6". On an existing system, a meter on the fill line gives a measured value. When in doubt, round up.

Why is a plain steel tank so much larger?

In a plain tank the air starts at atmospheric pressure, and much of the volume only serves to be compressed up to fill pressure. In the example the same duty needs 188 gal plain versus 68 gal with a diaphragm. Plain tanks also lose air into the water over time and need the cushion recharged.

What reduces tank size the most?

The maximum allowed pressure: in the example, 14.5 psi more cuts the tank from 68 gal to 49 gal. It is limited by the relief valve and the weakest equipment, so only raise the setting if everything is rated for it. Placing the tank higher in the system also lowers fill pressure and size.

What are the most common mistakes?

Leaving the factory precharge different from the fill pressure, which robs the tank of capacity; underestimating maximum temperature; and forgetting that glycol expands differently from water. The tank does not replace the relief valve, which is still required, and larger tanks are pressure vessels subject to ASME and state boiler and pressure vessel rules.