Marangoni number

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The Marangoni number (Mg) 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 propellant behaviour calculations in spacecraft tanks or bubble and foam research.

<math>\mathrm{Mg}=-{\frac{d\sigma}{dT}}\frac{1}{\eta \alpha} \cdot L \cdot \Delta T</math>

• <math>\sigma</math>: surface tension, (SI units: N/m)
• <math>L</math>: characteristic length, (SI units: m)
• <math>\alpha</math>: thermal diffusivity, (SI units: m²/s)
• <math>\eta</math> - dynamic viscosity, (SI units: kg/(s·m)),
• <math>\Delta T</math>: temperature difference, (SI units: °C)),

[edit] See also

• Marangoni effect

v • d • e Dimensionless numbers in fluid dynamics

Archimedes • Bagnold • Biot • Bond • Brinkman • Capillary • Damköhler • Dean • Deborah • Eckert • Ekman • Eötvös • Euler • Froude • Galilei • Grashof • Hagen • Knudsen • Laplace • Lewis • Mach • Magnetic Reynolds • Marangoni • Morton • Nusselt • Ohnesorge • Péclet • Prandtl • Rayleigh • Reynolds • Richardson • Roshko • Rossby• Ruark • Schmidt • Sherwood • Stanton • Stokes • Strouhal • Suratman • Taylor • Weber • Weissenberg • Womersley

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