Laplace number

Math Formula Information

Formula: ${\displaystyle {\mathit {La}}={\frac {\gamma \rho l}{\eta ^{2}}}}$

Name: Laplace number

Description: characteristic number in fluid dynamics

Elements of the Formula

Laplace number	${\displaystyle {\mathit {La}}}$	characteristic number in fluid dynamics
surface tension	${\displaystyle \gamma }$	tendency of a liquid surface to shrink to reduce surface area
fluid mass density	${\displaystyle \rho }$
characteristic length	${\displaystyle l}$	dimension that defines the scale of a physical system
dynamic viscosity	${\displaystyle \eta }$	physical property of a moving fluid
Ohnesorge number	${\displaystyle {\mathit {Oh}}}$	characteristic number that relates the viscous forces to inertial and surface tension forces
Reynolds number	${\displaystyle {\mathit {Re}}}$	dimensionless quantity that is used to help predict similar flow patterns in different fluid flow situations
Weber number	${\displaystyle {\mathit {We}}}$	dimensionless number in fluid mechanics that is often useful in analysing fluid flows where there is an interface between two different fluids

Data Source

https://www.wikidata.org/wiki/Special:EntityPage/Q179814