Laplace Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

Laplace number, abbreviated as La, also called Suratman number, abbreviated as Su, a dimensionless numbers, they are used in the charcaterization of free surface fluid dynamics.  It is a ratio of surface tension to the momentum transport inside a fluid.

 

Laplace number calculator

 

 

Laplace number formula

\(\large{ La =  \frac { \sigma \; \rho \; l } { \eta^2 }  }\)   

Where:

 Units English Metric
\(\large{ La }\) = Laplace number \(\large{dimensionless}\)
\(\large{ \rho }\)  (Greek symbol rho) = density \(\large{\frac{lbm}{ft^3}}\) \(\large{\frac{kg}{m^3}}\)
\(\large{ l }\) = length \(\large{ft}\) \(\large{m}\)
\(\large{ \sigma }\)  (Greek symbol sigma) = surface tension \(\large{\frac{lbf}{ft}}\) \(\large{\frac{N}{m}}\)
\(\large{ \eta }\)  (Greek symbol eta) = viscosity of liquid \(\large{\frac{lbf-sec}{ft^2}}\) \(\large{Pa-s}\)

 

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Tags: Fluid Equations Calculators