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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:

L a = S u = σ ρ L μ 2 {\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:

L a = R e 2 W e {\displaystyle \mathrm {La} ={\frac {\mathrm {Re} ^{2}}{\mathrm {We} }}}

See also

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

References

  1. ^ Balakotaiah, V.; Jayawardena, S. S.; Nguyen, L. T. (1999). "Studies on Normal and Microgravity Annular Two Phase Flows" (PDF). Proceedings of the Fourth Microgravity Fluid Physics and Transport Phenomena Conference. Retrieved 27 May 2024.
Dimensionless numbers in fluid mechanics
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