Flammability Limits Simulator: Explosion Envelopes & Safety Boundaries

simulator intermediate ~10 min
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LFL=5.0%, UFL=15.0% — methane in air at STP

Methane in air at standard temperature and pressure is flammable between 5.0% and 15.0% by volume. At 9.5% (stoichiometric), flame speed and pressure rise are maximum.

Formula

LFL(T) = LFL₂₅ × [1 − 0.000721 × (T − 298)]
Le Chatelier: LFL_mix = 1 / Σ(yᵢ / LFLᵢ)

The Flammable Envelope

Every combustible gas has a characteristic concentration range in air where flame propagation is possible. Below the lower flammability limit (LFL), the mixture is too lean — too few fuel molecules to sustain chain reactions. Above the upper flammability limit (UFL), the mixture is too rich — insufficient oxygen. Between these bounds lies the flammable zone, where any competent ignition source triggers combustion.

Temperature and Pressure Dependence

Flammability limits are not fixed constants — they depend on initial conditions. Raising temperature widens the flammable range because less external energy is needed to initiate reactions. The empirical Zabetakis correlation shows LFL decreasing linearly with temperature. Pressure effects are more complex: LFL is relatively insensitive, but UFL can increase dramatically above 5 atm as high-pressure chemistry enables additional reaction pathways.

Inerting and Explosion Prevention

The most reliable way to prevent explosions is to keep fuel concentrations outside the flammable range or to reduce oxygen below the limiting oxygen concentration (LOC) by adding inert gas. Process safety engineers design ventilation, inerting, and monitoring systems using flammability data. The flammability diagram — a triangular plot of fuel, oxygen, and inert — maps safe and hazardous regions for any mixture composition.

Mixture Rules and Applications

Real industrial gases are often mixtures. Le Chatelier's rule provides a simple but effective way to estimate the flammability limits of multi-fuel mixtures by weighted combination of individual limits. This simulation visualizes the flammable envelope and lets you explore how temperature, pressure, and diluent concentration shift the boundaries — essential knowledge for chemical plant design and hazard assessment.

FAQ

What are flammability limits?

Flammability limits define the minimum (LFL) and maximum (UFL) fuel concentration in air that can sustain flame propagation. Below the LFL, there is insufficient fuel; above the UFL, insufficient oxygen. These limits are measured in standard apparatus and are critical for explosion prevention.

How do temperature and pressure affect flammability?

Increasing temperature widens the flammable range: the LFL decreases and UFL increases approximately linearly with temperature. Pressure effects are smaller for the LFL but can significantly increase the UFL, particularly above 5 atm.

What is inerting?

Inerting is the practice of adding inert gas (nitrogen, carbon dioxide, steam) to reduce oxygen concentration below the level that supports combustion. The limiting oxygen concentration (LOC) is typically 10–12% for hydrocarbons. This is a primary explosion prevention strategy in chemical processes.

Can you estimate mixture flammability limits?

Le Chatelier's rule estimates flammability limits of fuel mixtures: LFL_mix = 1 / Σ(y_i/LFL_i), where y_i is the volume fraction of each fuel. This linear mixing rule is remarkably accurate for many practical mixtures.

Sources

Embed

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