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Marangoni Number Calculator

Compare a temperature-driven surface-tension gradient with viscous and thermal diffusion.

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Result

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Calculation steps

Work through one step at a time or reveal the complete calculation. The steps use your current inputs.

    How to calculate

    Use coherent SI units for every dimensional input. Apply the stated convention exactly, keep every material property as entered, and compare the result with the one-input sensitivity table before drawing a physical conclusion.

    Ma=|dσ/dT|ΔTL/(μα)

    Worked example

    Using the default inputs gives Ma = 200000.

    Assumptions and input details

    This calculator evaluates only the stated ratio from one coherent set of entered values. It does not infer measurement conditions, acceptance limits, design margins, correlations, regimes or safety thresholds.

    Using this calculator

    Can I enter my own problem?

    Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.

    Are the results exact?

    Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.

    Is my input uploaded?

    The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.

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