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Flame Stretch Rate, Markstein Number & Karlovitz Number (Ka) Calculator

Easily calculate and compute flame stretch rate, markstein number & karlovitz number (ka) calculator with accurate equations, live formulas, and expert guidance.

Nominal flat flame speed (methane ~0.40 m/s).

Preheat thermal thickness ~0.2 to 0.5 mm.

Smallest turbulent eddy turnover time.

Sensitivity to aerodynamic strain and curvature.

Calculated Result
1.41 Ka

Karlovitz Number (Ka)

Karlovitz Number (Ka)

1.41 Ka

Karlovitz Number Ka

1.41

Markstein Number Ma

1.33

Chemical Time Scale Milliseconds

1.1

Turbulent Combustion Regime

Thin Reaction Zones Regime (1 <= Ka <= 100): Small eddies penetrate preheat zone but cannot disrupt inner reaction layer

1.41 — Ka

Calculation Breakdown

  1. Applied FormulaCalculates the Karlovitz number (Ka) and Markstein number (Ma) to evaluate flame stretch sensitivity, curvature instability, and turbulent flamelet extinction.\text{Ka} = \frac{\tau_{\text{chem}}}{\tau_\eta} = \frac{\delta_L / S_{L,0}}{\tau_\eta}, \quad \text{Ma} = \frac{\mathcal{L}_M}{\delta_L}

Flame Stretch & Karlovitz (Ka) Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.40.71.11.4Karlovitz Number (Ka)

What Is the Flame Stretch Rate, Markstein Number & Karlovitz Number (Ka) Calculator?

This tool computes flame stretch rate, markstein number & karlovitz number (ka) calculator with high precision arithmetic.

How Does the Flame Stretch Rate, Markstein Number & Karlovitz Number (Ka) Calculator Work?

Calculates the Karlovitz number (Ka) and Markstein number (Ma) to evaluate flame stretch sensitivity, curvature instability, and turbulent flamelet extinction.

Flame Stretch Rate, Markstein Number & Karlovitz Number (Ka) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Ka=τchemτη=δL/SL,0τη,Ma=LMδL\text{Ka} = \frac{\tau_{\text{chem}}}{\tau_\eta} = \frac{\delta_L / S_{L,0}}{\tau_\eta}, \quad \text{Ma} = \frac{\mathcal{L}_M}{\delta_L}

Calculates the Karlovitz number (Ka) and Markstein number (Ma) to evaluate flame stretch sensitivity, curvature instability, and turbulent flamelet extinction.

How to Use the Flame Stretch Rate, Markstein Number & Karlovitz Number (Ka) Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Flame Stretch Rate, Markstein Number & Karlovitz Number (Ka) Calculator Example

Input Values:

laminarFlameSpeedMPerSec:0.4
laminarFlameThicknessMm:0.45
kolmogorovTimeScaleMs:0.8
marksteinLengthMm:0.6
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required Ka.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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