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:
\[La = Su = \frac{\sigma \rho L}{\mu^2}\,\]
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:
\[La = \frac{Re^2}{We}\,\]
See also
- Ohnesorge number - There is an inverse relationship, \(La = Oh^{-2}\), between the Laplace number and the Ohnesorge number.
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