Laplace number

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The Laplace number (La), also known as the Suratman number (Su), is a dimensionless number used in the characterization of free surface fluid dynamics. It represents a ratio of surface tension to the momentum-transport (especially dissipation) inside a fluid.

It is defined as follows:

{\mathrm {La}}={\mathrm {Su}}={\frac {\sigma \rho L}{\mu ^{2}}}

where:

Laplace number is related to Reynolds number (Re) and Weber number (We) in the following way:

{\mathrm {La}}={\frac {{\mathrm {Re}}^{2}}{{\mathrm {We}}}}

See also

  • Ohnesorge number - There is an inverse relationship, {\mathrm {La}}={\mathrm {Oh}}^{{-2}}, between the Laplace number and the Ohnesorge number.
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