Langbahn Team – Weltmeisterschaft

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:^[1]

\mathrm {La} =\mathrm {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:^[1]

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

See also

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

References

^ ^a ^b 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

Quelle: https://en.wikipedia.org/wiki/Laplace_number