Laplace number

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:

:La = Su = frac{sigma ho L}{mu^2},

where:
* σ = surface tension
* ρ = density
* L = characteristic length
* μ = dynamic viscosity

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

:La = frac{Re^2}{We},

ee also

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


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