# Laplace number

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:

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

where:

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

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

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