Laplace number

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:

:La = Su = frac{sigma ho L}{mu^2},

where:
* σ = surface tension
* ρ = density
* L = characteristic length
* μ = dynamic viscosity

Laplace number is related to Reynolds number (Re) and Weber number (We) in the following way:

:La = frac{Re^2}{We},

ee also

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


Wikimedia Foundation. 2010.

Игры ⚽ Поможем решить контрольную работу

Look at other dictionaries:

  • Pierre-Simon Laplace — Laplace redirects here. For the city in Louisiana, see LaPlace, Louisiana. For the joint NASA ESA space mission, see Europa Jupiter System Mission. Pierre Simon, marquis de Laplace Pierre Simon Laplace (1749–1827). Posthumous portrait …   Wikipedia

  • Laplace transform — In mathematics, the Laplace transform is one of the best known and most widely used integral transforms. It is commonly used to produce an easily soluble algebraic equation from an ordinary differential equation. It has many important… …   Wikipedia

  • Laplace–Runge–Lenz vector — Throughout this article, vectors and their magnitudes are indicated by boldface and italic type, respectively; for example, left| mathbf{A} ight| = A. In classical mechanics, the Laplace–Runge–Lenz vector (or simply the LRL vector) is a vector… …   Wikipedia

  • Laplace–Stieltjes transform — The Laplace–Stieltjes transform, named for Pierre Simon Laplace and Thomas Joannes Stieltjes, is a transform similar to the Laplace transform. It is useful in a number of areas of mathematics, including functional analysis, and certain areas of… …   Wikipedia

  • Laplace's equation — In mathematics, Laplace s equation is a partial differential equation named after Pierre Simon Laplace who first studied its properties. The solutions of Laplace s equation are important in many fields of science, notably the fields of… …   Wikipedia

  • Laplace-Beltrami operator — In differential geometry, the Laplace operator can be generalized to operate on functions defined on surfaces, or more generally on Riemannian and pseudo Riemannian manifolds. This more general operator goes by the name Laplace Beltrami operator …   Wikipedia

  • Laplace , Marquis Pierre Simon de — (1749–1827) French mathematician, astronomer, and physicist Laplace, born the son of a small estate owner in Beaumont en Auge, France, was educated at the University of Caen. Jean D Alembert, impressed by a letter on mechanics sent to him by… …   Scientists

  • Ohnesorge number — The Ohnesorge number, Oh, is a dimensionless number that relates the viscous forces to inertial and surface tension forces. It is defined as: Where μ is the liquid viscosity ρ is the liquid density σ is the surface tension L is the characteristic …   Wikipedia

  • Discrete Laplace operator — For the discrete equivalent of the Laplace transform, see Z transform. In mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete grid. For the case of a… …   Wikipedia

  • Cyrille Pierre Théodore Laplace — Born 7 November 1793(1793 11 07) At sea Died 1875 Nationality French Occupation Naval Captain Cyrille Pierre Théodore Laplace …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”