# Inviscid flow

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==Governing Equations== | ==Governing Equations== | ||

- | The governing equations for inviscid flow, also known as ''Euler equations'', are obtained by discarding the viscous terms from the Navier-Stokes equations | + | The governing equations for inviscid flow, also known as ''Euler equations'', are obtained by discarding the viscous terms from the [[Navier-Stokes equations]] |

*Continuity equation | *Continuity equation |

## Revision as of 10:02, 16 September 2005

A flow in which viscous effects can be neglected is known as *inviscid flow*. At high Reynolds numbers, flow past slender bodies involve thin boundary layers. Viscous effects are important only inside the boundary layer and the flow outside it is nearly inviscid. If the boundary layer is not separated then the inviscid flow model can be used to predict the pressure distribution with reasonable accuracy.

## Governing Equations

The governing equations for inviscid flow, also known as *Euler equations*, are obtained by discarding the viscous terms from the Navier-Stokes equations

- Continuity equation

- Momentum equation

- Energy equation

where

- is the density
- is the fluid velocity
- is the pressure
- is the total energy per unit mass of fluid

- is the ratio of specific heats

The above equations are closed by taking an equation of state, the simplest being the ideal gas

where

- is the gas constant
- is the absolute temperature