Laplace number

Template:Short description The Laplace number (Template:Math), also known as the Suratman number (Template:Math), 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 named after Pierre-Simon Laplace and Indonesian physicist P. C. Suratman.

It is defined as follows:

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Class "Wikibase\Client\WikibaseClient" not found"): {\displaystyle \mathrm {La} =\mathrm {Su} ={\frac {\sigma \rho L}{\mu ^{2}}}}

where:

• σ = surface tension
• ρ = density
• L = length
• μ = liquid viscosity

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

$\mathrm{L}\mathrm{a}=\frac{{\mathrm{R}\mathrm{e}}^2}{\mathrm{W}\mathrm{e}}$

See also

• Ohnesorge number - There is an inverse relationship, $\mathrm{L}\mathrm{a}={\mathrm{O}\mathrm{h}}^{-2}$, between the Laplace number and the Ohnesorge number.