What Is the Mallard-Le Chatelier Laminar Flame Burning Velocity Calculator?
Mallard-Le Chatelier theory provides the fundamental thermal model for premixed laminar flame propagation.
How Does the Mallard-Le Chatelier Laminar Flame Burning Velocity Calculator Work?
Heat conducts forward from the hot burned boundary to warm fresh reactants up to ignition temperature.
Mallard-Le Chatelier Laminar Flame Burning Velocity Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
S_L = \sqrt{\frac{\alpha \dot{\omega}}{\rho_0 C_p (T_{\text{ign}} - T_0)} \frac{T_f - T_{\text{ign}}}{T_{\text{ign}} - T_0}}, \quad \delta_L = \frac{\alpha}{S_L}
Mallard-Le Chatelier thermal theory for laminar burning velocity and flame thickness.
How to Use the Mallard-Le Chatelier Laminar Flame Burning Velocity Calculator
- Input thermal diffusivity, volumetric reaction rate, gas density, specific heat, and temperature milestones.
Step-by-Step Example Calculation
Methane-Air Premixed Flame
Input Values:
thermalDiffusivityM2PerS:0.000022
reactionRateWPerM3:50000000
unburnedGasDensityKgPerM3:1.15
specificHeatCapacityJPerKgK:1050
adiabaticFlameTempK:2200
ignitionTempK:900
initialTempK:300
Worked Steps: Predicts laminar burning velocity S_L ~37.8 cm/s and flame thickness ~0.058 mm.
Understanding Your Result
Outputs laminar burning velocity in cm/s and characteristic flame thickness in mm.
Factors That Affect the Result
- Higher flame temperature and higher thermal diffusivity increase burning velocity.
When Should You Use This Calculator?
- Gas turbine combustor design, internal combustion engines, and explosion venting.
Assumptions & Limitations
- Purely thermal model neglecting active radical mass diffusion (Zeldovich-Frank-Kamenetskii refined model).
Frequently Asked Questions
Calculation Accuracy & Reference Note
Classic historical cornerstone of combustion science and flame dynamics.