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ICEIntermediate–AdvancedReading time: 25 min
Learning Objectives
  • Define lambda and AFR.
  • Distinguish rich, lean and stoichiometric mixtures.
  • Explain the relationship of lambda control to catalyst and emissions.

ICE-26 — Lambda

ASSUMPTION — Stoichiometric AFR varies by fuel; ~14.7:1 for gasoline is a typical illustrative value.

In this lesson you will learn:

  • Lambda and AFR
  • Rich/lean/stoichiometric differences
  • The importance of lambda control

1. AFR and Lambda

Air-fuel ratio (AFR) is the mass of air divided by the mass of fuel. Lambda (λ) is the actual AFR divided by the stoichiometric AFR.

FACT — λ = AFR_actual / AFR_stoich. λ = 1 is stoichiometric, λ < 1 rich (excess fuel), λ > 1 lean (excess air).

2. Mixture Types

  • Rich (λ < 1) — more power but more CO/HC and fuel use.
  • Stoichiometric (λ = 1) — optimum for the TWC.
  • Lean (λ > 1) — better efficiency, less CO/HC, but NOx control is harder.

FACT — Gasoline runs near λ = 1 for the TWC; diesel always runs lean.

3. Lambda Sensor and Control

FACT — The lambda (O2) sensor measures exhaust oxygen; the ECU keeps injection near stoichiometric via closed-loop control. Open-loop is used at full load and cold start.

4. Summary

  • λ = actual AFR / stoichiometric AFR.
  • λ<1 rich, λ=1 stoichiometric, λ>1 lean.
  • The lambda sensor enables closed-loop fuel control.
  • TWC efficiency depends on the λ ≈ 1 window.

5. Sources

  • Bosch, Gasoline-Engine Management
  • Heywood, Internal Combustion Engine Fundamentals

Next Lesson

  • ICE-27 — Knock: abnormal combustion.

Quiz

Basic

What does λ = 1 mean?

Basic

λ < 1 is which mixture?

Intermediate

How is lambda defined?

Intermediate

What does the lambda sensor measure?

Advanced

Why does gasoline run near λ = 1?

Glossary

English TermDefinition
Air-Fuel Ratio (AFR)The mass ratio of air to fuel in the mixture.
LambdaThe actual air-fuel ratio divided by the stoichiometric ratio; λ=1 stoichiometric, λ<1 rich, λ>1 lean.
Lambda Sensor (O2 Sensor)A sensor that measures the oxygen content in the exhaust to determine mixture richness.