Air-Fuel Ratio Calculator

Equivalence Ratio & Excess Air Analysis

Air-Fuel Ratio Analysis
Calculate actual and stoichiometric air-fuel ratios, equivalence ratio (phi), lambda, and excess air percentage for natural gas engines used in midstream compression and power generation applications.

Engine Parameters

BTU/scf
Typical natural gas: 950-1100 BTU/scf
relative to air
Natural gas: 0.55-0.70

Operating Conditions

scfm
scfm
°F
psia
Sea level: 14.696 psia

Reference Formulas

Parameter Formula
Actual A/F RatioAir Flow / Fuel Flow (by volume)
Equivalence Ratioφ = Stoich A/F / Actual A/F
Lambda (λ)λ = 1 / φ = Actual A/F / Stoich A/F
Excess Air(λ - 1) × 100%

Lean Burn Notes

Lean Burn Range: Most modern lean burn natural gas engines operate at phi = 0.55-0.70 (lambda = 1.43-1.82), providing 43-82% excess air for NOx control.
Rich Limit: Operating above phi = 1.0 (rich) wastes fuel and increases CO emissions. Typically indicates a fuel system or air intake issue.
Misfire Limit: Below phi = 0.50 (lambda > 2.0), most engines experience misfire and combustion instability. Verify with engine OEM data.

Frequently Asked Questions

What is the stoichiometric air-fuel ratio for natural gas?

The stoichiometric air-fuel ratio for natural gas is approximately 9.7:1 by volume (17.2:1 by mass). This is the exact ratio needed to completely combust the fuel with no excess air remaining.

What is equivalence ratio (phi) and how does it differ from lambda?

Equivalence ratio (phi) is the stoichiometric A/F ratio divided by the actual A/F ratio. Lambda is the inverse (actual/stoichiometric). Phi greater than 1 indicates a rich mixture, while phi less than 1 indicates lean. Lambda is commonly used in automotive applications while phi is standard in industrial gas engine analysis.

Why do lean burn natural gas engines operate with excess air?

Lean burn engines operate with 50-100% excess air (phi = 0.5-0.67) to reduce NOx emissions, improve fuel efficiency, and lower exhaust temperatures. Most modern integral and separable compressor engines in midstream service use lean burn combustion for emissions compliance.