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Navier–Stokes equations print that page


In physics , the Navier–Stokes Stokes equations , named after Claude-Louis Navier and George Gabriel Stokes , describe the motion of fluid substances. These equations arise from applying Newton's second law to fluid motion , together with the assumption that the fluid stress is the

Reynolds-averaged Navier–Stokes equations print that page

The Reynolds-averaged Navier–Stokes Stokes equations (or RANS equations) are time-averaged [ 1 ] equations of motion for fluid flow . The idea behind the equations is Reynolds decomposition , whereby an instantaneous quantity is decomposed into its time-averaged and fluctuating quantities

wikipedia.org | 2011/4/13 15:15:55

Sir George Stokes, 1st Baronet print that page


George Stokes was the youngest son of the Reverend Gabriel Stokes , rector of Skreen , County Sligo , Ireland , where he was born and brought up in an evangelical Protestant family. After attending schools in Skreen, Dublin , and Bristol , he matriculated in 1837 at Pembroke College, Cambridge

Stokes operator print that page

The Stokes operator , named after George Gabriel Stokes , is an unbounded linear operator used in the theory of partial differential equations , specifically in the fields of fluid dynamics and electromagnetics . [ edit ] Definition If we define P σ as the Leray-Helmholtz projector

wikipedia.org | 2010/9/25 15:22:43

Claude-Louis Navier print that pageTimeline of Claude-Louis Navier


The Navier Stokes equations are named after him and George Gabriel Stokes . [ edit ] Biography After the death of his father in 1793, Navier 's mother left his education in the hands of his uncle Emiland Gauthey , an engineer with the Corps of Bridges and Roads (Corps des Ponts et Chaussée

Derivation of the Navier–Stokes equations print that page

The intent of this article is to highlight the important points of the derivation of the Navier–Stokes Stokes equations as well as the application and formulation for different families of fluids. Contents 1 Basic assumptions 2 The Material derivative 3 Conservation laws

wikipedia.org | 2010/9/26 10:43:01

Navier–Stokes existence and smoothness print that page

The Navier–Stokes Stokes equations are one of the pillars of fluid mechanics . These equations describe the motion of a fluid (that is, a liquid or a gas) in space. Solutions to the Navier–Stokes Stokes equations are used in many practical applications. However, theoretical understanding

wikipedia.org | 2011/4/6 2:10:50

Hagen–Poiseuille flow from the Navier–Stokes equations print that page

In fluid dynamics , the derivation of the Hagen–Poiseuille flow from the Navier–Stokes Stokes equations shows how this flow is an exact solution to the Navier–Stokes Stokes equations . [ 1 ] [ 2 ] [ edit ] Derivation The flow of fluid through a pipe of uniform (circular) cross

wikipedia.org | 2011/5/5 5:34:11

Stokes boundary layer print that page

In fluid dynamics , the Stokes boundary layer , or oscillatory boundary layer , refers to the boundary layer close to a solid wall in oscillatory flow of a viscous fluid . Or, it refers to the similar case of an oscillating plate in a viscous fluid at rest, with the oscillation direction

wikipedia.org | 2011/5/1 8:41:06

Stokes flow print that page

For this type of flow, the inertial forces are assumed to be negligible and the Navier–Stokes Stokes equations simplify to give the Stokes equations: where is the stress tensor , and an applied body force. There is also an equation for conservation of mass . In the common case of

wikipedia.org | 2011/7/19 14:29:16