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vorticity equation

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  • Vorticity equation — The vorticity equation is an important prognostic equation in the atmospheric sciences. Vorticity is a vector, therefore, there are three components. The equation of vorticity (three components in the canonical form) describes the total… …   Wikipedia

  • Barotropic vorticity equation — A simplified form of the vorticity equation for an inviscid, divergence free flow, the barotropic vorticity equation can simply be stated as:frac{D eta}{D t} = 0,where frac{D}{D t} is the material derivative and:eta = zeta + fis absolute… …   Wikipedia

  • Vorticity — is a mathematical concept used in fluid dynamics. It can be related to the amount of circulation or rotation (or more strictly, the local angular rate of rotation) in a fluid.Clancy, L.J., Aerodynamics , Section 7.11] The average vorticity zeta… …   Wikipedia

  • Omega equation — The omega equation is of great importance in meteorology and atmospheric physics. It is a partial differential equation for the vertical velocity, ω, which is defined as a Lagrangian rate of change of pressure with time, that is, . The equation… …   Wikipedia

  • Raychaudhuri equation — In general relativity, Raychaudhuri s equation is a fundamental result describing the motion of nearby bits of matter.The equation is important as a fundamental lemma for the Penrose Hawking singularity theorems and for the study of exact… …   Wikipedia

  • Potential vorticity — (PV) is a quantity which is proportional to the dot product of vorticity and stratification that, following a parcel of air or water, can only be changed by diabatic or frictional processes. It is a useful concept for understanding the generation …   Wikipedia

  • Mild-slope equation — Simulation of wave penetration involving diffraction and refraction into Tedious Creek, Maryland, using CGWAVE (which solves the mild slope equation). In fluid dynamics, the mild slope equation describes the combined effects of diffraction and… …   Wikipedia

  • Stokes boundary layer — in a viscous fluid due to the harmonic oscillation of a plane rigid plate. Velocity (blue line) and particle excursion (red dots) as a function of the distance to the wall. In fluid dynamics, the Stokes boundary layer, or oscillatory boundary… …   Wikipedia

  • Baroclinity — In fluid dynamics, the baroclinity (sometimes called baroclinicity) is a measure of the stratification in a fluid. A baroclinic atmosphere is one for which the density depends on both the temperature and the pressure; contrast this with… …   Wikipedia

  • Sverdrup balance — The Sverdrup balance, or Sverdrup relation, is a theoretical relationship between the wind stress exerted on the surface of the open ocean and the vertically integrated meridional (north south) transport of ocean water. History Aside from the… …   Wikipedia

  • List of equations — This is a list of equations, by Wikipedia page. See also list of equations in classical mechanics, list of relativistic equations, equation solving, theory of equations.Eponymous equations* Arrhenius equation * Bernoulli s equation *… …   Wikipedia

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