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Laplace number

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Title: Laplace number  
Author: World Heritage Encyclopedia
Language: English
Subject: Dimensionless numbers in fluid mechanics, Fluid dynamics, Dimensionless quantity, Ohnesorge number, Reynolds number
Collection: Dimensionless Numbers of Fluid Mechanics, Fluid Dynamics
Publisher: World Heritage Encyclopedia

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:

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


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

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