Page tree

Versions Compared

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

...

Fluid flow which is not subjected to direct influence of the fluid viscosity (except for the indirect influence of contact forces, see below).


In this case Navier-Stokes   fluid flow   momentum equation simplifies to Eauler Eauler fluid flow   momentum equation.


This flow regime happens for high Reynolds numbers 

LaTeX Math Inline
body{\rm Re} \gg 1
, which originates from:

low-viscosity fluids

high velocities 

LaTeX Math Inline
bodyu

large distance to solid boundaries restricting the flow 

LaTeX Math Inline
bodyL


The Reynolds numbers should not necessarily to be very high to induce an inviscid flow and many a laminar flows 

LaTeX Math Inline
body1 \ll {\rm Re} \ll 2,000
 behave as inviscid.]

This makes Eauler fluid flow momentum equation a very popular modelling tool in Fluid Dynamics.


In many practical applications the fluid viscosity can not be neglected even for low-viscosity fluids.

...

Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid DynamicsFluid flow

Navier-Stokes fluid flow momentum equation ] [ Eauler fluid flow momentum equation ]