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.
\[\mathrm{Mg}=-{\frac{d\sigma}{dT}}\frac{1}{\eta \alpha} \cdot L \cdot \Delta T\]
- \(\sigma\): surface tension, (SI units: N/m)
- \(L\): characteristic length, (SI units: m)
- \(\alpha\): thermal diffusivity, (SI units: m²/s)
- \(\eta\): dynamic viscosity, (SI units: kg/(s·m)),
- \(\Delta T\): temperature difference, (SI units: °C)),
See also
bs:Marangonijev brojca:Nombre de Marangoni de:Marangoni-Zahl es:Número de Marangoni fa:عدد مارانگونی fr:Nombre de Marangoni it:Numero di Marangoni pt:Número de Marangoni ru:Число Марангони