Module 04 · Combustion5 min read

Air–Fuel Ratio and Excess Air in Boiler Combustion

Every kilogram of fuel needs a definite amount of air to burn completely. Real burners and grates cannot mix fuel and air perfectly, so boilers run with some extra — excess air. Too little and fuel goes up the stack unburnt; too much and the extra air carries heat away. The right amount is the most powerful efficiency setting an operator controls.

ByShikhar Singh·Steam Consultant & IT Consultant·Published

You'll learn

  • Calculate the theoretical air for a fuel
  • Explain why excess air is needed and what it costs
  • Estimate excess air from flue gas oxygen
  • Know typical excess air by fuel and firing method

Before this: Coal and lignite, Oil and gas fuels

BeginnerThe idea in plain words, and where you meet it. No maths.

Burning needs the right amount of air

Combustion joins the carbon, hydrogen and sulfur in a fuel with oxygen from the air. There is an exact amount of air that supplies just enough oxygen to burn everything: the theoretical, or stoichiometric, air. In practice the fuel and air never mix perfectly, so some extra air is supplied to make sure every particle of fuel finds the oxygen it needs. That extra is the excess air.

Air is mostly nitrogen, which takes no part in combustion but is heated by it and carried up the chimney. Every bit of air beyond what is needed adds to that wasted heat. The goal is the least excess air that still burns the fuel out completely.

IntermediateThe formula, its units, and a worked example on real plant numbers.

Theoretical air and excess air

Theoretical air, kg per kg of fuel
Ath=11.5C+34.5(H−O/8)+4.32S100
Symbols in the formula
SymbolMeaningUnit
C,H,O,SCarbon, hydrogen, oxygen, sulfur in the fuel% by mass
Worked example
Furnace oil, from BEE’s worked example
Given
  • Carbon 84%, hydrogen 12%, oxygen 1%, sulfur 3%.
  1. Theoretical air:
    11.5×84+34.5×(12−1/8)+4.32×3100=13.89 kg/kg
  2. The flue gas shows 4% oxygen. Excess air:
    421−4×100=23.5%
  3. Actual air: 13.89 × (1 + 0.235) = 17.15 kg per kg of oil.
Answer: About 17.2 kg of air for every kilogram of oil burned — over 17 times its weight.
Excess air from flue gas oxygen (dry basis, approximate)
EA=O221−O2×100
Line chart of excess air against flue gas oxygen from 1 to 10%: 10.5% at 2% oxygen, 31.3% at 5% and 61.5% at 8%, rising steeply as oxygen increases.
Each extra point of oxygen in the flue gas means more excess air than the last. Chart: GyanTosh Fabricators Pvt. Ltd., reusable with credit under CC BY 4.0
ExpertThe fine print: where the simple model breaks, and what it costs.

Finding the right amount

Below the right excess air, combustion is incomplete: carbon monoxide appears in the flue gas, smoke forms, and unburnt carbon rises in the ash. Above it, CO stays near zero but the dry flue gas loss grows with every extra kilogram of air heated to stack temperature. The best setting is just above the point where CO starts to rise, and it differs by fuel and firing method: gas burners can run lean, oil a little higher, and solid fuels on grates need considerably more because mixing on a grate is poor.

Flue gas oxygen and excess air for natural gas, as published by US DOE
O₂ in flue gas, %Excess air, % (DOE)Simple formula, %
29.510.5
315.016.7
528.131.3
744.950.0
1081.690.9

US DOE Steam Tip Sheet #4, natural gas. The simple formula overstates excess air slightly because it ignores the water vapor and CO₂ the fuel forms; it is close enough for routine trimming.

Air leaks distort the reading. Air drawn in through gaps in the casing, inspection doors or a leaking air preheater dilutes the flue gas after combustion, so the oxygen probe reads high while the furnace itself is short of air. Compare oxygen at the furnace outlet with oxygen at the stack; a large difference means leaks, not a burner setting.

Key takeaways

  • Theoretical air: Ath=[11.5C+34.5(H−O/8)+4.32S]/100 kg per kg of fuel.
  • Excess air ensures complete combustion; beyond that it only carries heat away.
  • Estimate excess air from flue gas O₂: EA≈O2/(21−O2)×100.
  • Set excess air just above where CO starts to rise; check for air leaks before trimming.

Check your understanding

Questions run from beginner to expert. Try each before opening the answer.

  1. Beginner

    Q1. Why do boilers use excess air?

    1. A.To cool the furnace
    2. B.Fuel and air do not mix perfectly, so extra air ensures complete burning
    3. C.To raise steam pressure
    4. D.Regulation
    Show answer

    B. Some surplus oxygen makes sure every fuel particle burns.

  2. Intermediate

    Q2. Flue gas shows 6% O₂. Approximate excess air?

    1. A.6%
    2. B.28%
    3. C.40%
    4. D.75%
    Show answer

    C. 6 / (21 − 6) × 100 = 40%.

  3. Intermediate

    Q3. What happens when excess air is too low?

    1. A.Higher stack loss
    2. B.CO, smoke and unburnt carbon rise
    3. C.Nothing
    4. D.The boiler runs cooler
    Show answer

    B. Combustion becomes incomplete.

  4. Expert

    Q4. Stack O₂ reads much higher than furnace-outlet O₂. The likely cause?

    1. A.Burner set too lean
    2. B.Air leaking into the gas path after the furnace
    3. C.Wet fuel
    4. D.Low steam demand
    Show answer

    B. Leaks dilute the gas after combustion.

Frequently asked

What is excess air in a boiler?
The air supplied beyond the theoretical amount needed for complete combustion, expressed as a percentage of the theoretical air. It ensures complete burning but carries heat up the stack.
How do you calculate excess air from O2?
Approximately, excess air % = O2 ÷ (21 − O2) × 100, using dry flue gas oxygen. At 3% O2 that is about 17%.
How much air does furnace oil need?
About 13.9 kg of air per kg of oil in theory, using BEE’s example composition, plus the excess air the burner runs at.

Training a boiler team?

These lessons follow the order we train operators in. We also run on-site operator and maintenance training, built around your own plant.

Boiler operator training →

Sources

  • Bureau of Energy Efficiency, Guide Book 4, chapter 1 (Boilers) — Theoretical air formula and the furnace-oil composition in the example.
  • US Department of Energy, Steam Tip Sheet #4: Improve Your Boiler’s Combustion Efficiency — Flue gas oxygen against excess air for natural gas, and the value of trimming excess air.
  • UNEP, Energy Efficiency Guide for Industry in Asia: Boilers and Thermic Fluid Heaters — Rule of thumb for the efficiency value of reducing excess air.

About the author

Shikhar SinghSteam Consultant & IT Consultant

Shikhar Singh is a Steam Consultant and IT Consultant at GyanTosh Fabricators Pvt. Ltd., where he works on steam system sizing, condensate recovery and the engineering content published on this site.

Full profile and background →