Ferdinand Georg Frobenius: Difference between revisions

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{{Unreferenced stub|auto=yes|date=December 2009}}
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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:
 
:<math>\mathrm{La} = \mathrm{Su} = \frac{\sigma \rho L}{\mu^2}</math>
 
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:
 
:<math>\mathrm{La} = \frac{\mathrm{Re}^2}{\mathrm{We}}</math>
 
==See also==
* [[Ohnesorge number]] - There is an inverse relationship, <math>\mathrm{La} = \mathrm{Oh}^{-2}</math>, between the Laplace number and the Ohnesorge number.
 
{{NonDimFluMech}}
 
{{DEFAULTSORT:Laplace Number}}
[[Category:Dimensionless numbers of fluid mechanics]]
[[Category:Fluid dynamics]]
 
{{Fluiddynamics-stub}}

Latest revision as of 04:02, 29 October 2014

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