Marangoni number

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 bubble and foam research or calculations of cryogenic spacecraft propellant behaviour.

$\mathrm{Mg}=-{\frac{d\sigma}{dT}}\frac{1}{\eta \alpha} \cdot L \cdot \Delta T$

$σ$ : surface tension, (SI units: N/m)
$L$ : characteristic length, (SI units: m)
$α$ : thermal diffusivity, (SI units: m²/s)
$η$ : dynamic viscosity, (SI units: kg/(s·m)),
$Δ T$ : temperature difference, (SI units: °C)),

See also

Marangoni effect

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Dimensionless numbers in fluid dynamics

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

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