Combustion efficiency calculator

Estimate boiler combustion efficiency, stack loss and excess air from flue-gas O2 and stack temperature with the Siegert formula, for gas, oil or propane.

Fuel
Stack (flue-gas) loss
8.2 %
Combustion efficiency (net, LHV)
91.8 %
Excess air (approx.)
17 %
Net stack temperature
180 °C (324 °F rise)

The short answer

Combustion efficiency ≈ 100 − (stack temperature − combustion-air temperature) × (A2 ÷ (21 − O2) + B), the Siegert formula used by flue-gas analysers. For natural gas (A2 0.66, B 0.009), a 180 °C net stack rise at 3 % O2 gives a stack loss of about 8.2 % and roughly 87 % efficiency on a net (lower heating value) basis.

Formula

  • Stack loss qA (%) = (t_stack − t_air) × (A2 ÷ (21 − O2) + B)
  • Combustion efficiency (%) = 100 − qA
  • Excess air (%) ≈ O2 ÷ (21 − O2) × 100

How to use it

  1. Choose the fuel.
  2. Enter flue-gas O2 (dry, %) and stack temperature from the analyser.
  3. Enter combustion-air (burner intake) temperature.

Assumptions

  • Siegert coefficients: natural gas A2 0.66, B 0.009; light fuel oil A2 0.68, B 0.007; propane A2 0.63, B 0.008 (the values used in EN 50379 analysers).
  • Net (lower heating value) basis, temperatures in °C. It ignores unburned CO and radiation losses, so fuel-to-steam efficiency is a few points lower.
  • Not valid for condensing operation, where the flue gas is below its dew point.

Frequently asked questions

What O2 should a gas boiler run at?

Many packaged gas burners are tuned for roughly 2–4 % O2 at high fire, depending on the burner and turndown. Lower O2 cuts stack loss but raises the risk of CO; tune to the burner maker’s figures with an analyser.

How much does stack temperature matter?

As a rule of thumb, every 40 °F (22 °C) rise in net stack temperature costs about 1 % efficiency. A rising stack temperature at the same load often means fouled tubes or scale.

Is this the same as boiler efficiency?

No. Combustion efficiency only counts flue-gas loss. Fuel-to-steam efficiency also subtracts radiation, convection and blowdown losses.

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