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Marangoni number

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The Marangoni number (Ma) is a dimensionless number named after Italian scientist Carlo Marangoni. The Marangoni number may be regarded as proportional to (thermal-) surface tension forces divided by viscous forces. It is – for example – applicable to bubble and foam research or calculations of cryogenic spacecraft propellant behaviour.

M a = d γ d T L Δ T μ α
  • γ: surface tension, (SI units: N/m);
  • L: characteristic length, (SI units: m);
  • α : thermal diffusivity, (SI units: m2/s);
  • μ : dynamic viscosity, (SI units: kg/(s·m));
  • T: temperature difference, (SI units: K).
  • References

    Marangoni number Wikipedia