Laminar Flame Speed Simulator: How Fuel Mixtures Burn

simulator intermediate ~10 min
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S_L = 0.42 m/s — stoichiometric methane-air at STP

A stoichiometric methane-air mixture at 300 K and 1 atm propagates a laminar flame at approximately 0.42 m/s — the benchmark value used in combustion research.

Formula

S_L = S_L0 × (T/T_ref)^α × (P/P_ref)^β
δ_L = α_thermal / S_L (flame thickness)
ṁ = ρ_unburned × S_L (mass burning rate)

The Propagating Flame Front

When a premixed fuel-air mixture ignites, a thin reaction zone — the flame front — propagates outward at a characteristic speed determined by the balance between heat diffusion into fresh mixture and chemical heat release. This laminar flame speed S_L is the most fundamental parameter in combustion science, governing everything from burner stability to engine knock.

Equivalence Ratio: The Key Variable

The equivalence ratio φ compares the actual fuel-air ratio to the stoichiometric (chemically ideal) proportion. At φ = 1, all fuel and oxygen react completely, producing the highest adiabatic flame temperature and maximum flame speed. Lean mixtures (φ < 1) have excess air that dilutes the reaction, while rich mixtures (φ > 1) have excess fuel — both reduce S_L symmetrically around the peak.

Temperature and Pressure Effects

Flame speed increases strongly with initial temperature because the preheated mixture requires less energy input from the flame to reach ignition temperature. The scaling follows a power law S_L ∝ T^α with α ≈ 1.5–2.0. Pressure effects are more subtle: higher P increases density and reaction rates but reduces thermal diffusivity, yielding a net decrease in S_L for most hydrocarbons.

From Laboratory to Engine

Laminar flame speed data underpin turbulent combustion models used in engine CFD. In a turbulent engine cylinder, the actual flame is wrinkled and stretched, but its local propagation rate still scales with S_L. Engineers use these correlations to predict burn duration, optimize spark timing, and design for both efficiency and emissions control across the operating map.

FAQ

What is laminar flame speed?

Laminar flame speed (S_L) is the velocity at which a planar, unstretched flame front propagates through a quiescent premixed fuel-air mixture. It is a fundamental property of a combustible mixture, depending on fuel type, equivalence ratio, temperature, and pressure.

Why does equivalence ratio affect flame speed?

The equivalence ratio φ determines the fuel-to-oxidizer proportion relative to stoichiometric. At φ = 1, the mixture is perfectly balanced, maximizing the adiabatic flame temperature and thus the flame speed. Lean (φ < 1) or rich (φ > 1) mixtures have lower temperatures and slower flames.

How does pressure affect flame speed?

Increasing pressure generally decreases laminar flame speed (S_L ∝ P^β where β ≈ −0.5 for hydrocarbons) because the flame thickness decreases faster than the reaction rate increases. However, mass burning rate (ρ·S_L) increases with pressure.

What fuels have the highest flame speeds?

Hydrogen has the highest laminar flame speed of common fuels (about 3.0 m/s at stoichiometric STP), followed by acetylene (~1.6 m/s). Methane (~0.42 m/s) and propane (~0.45 m/s) are moderate; heavier hydrocarbons tend to be slower.

Sources

Embed

<iframe src="https://homo-deus.com/lab/combustion/flame-speed/embed" width="100%" height="400" frameborder="0"></iframe>
View source on GitHub