Difference between revisions of "Navier-Stokes equations"
Jump to navigation
Jump to search
(Incompressible flow section : <math>\boldsymbol \tau = \mu (\nabla\mathbf{u} + ( \nabla\mathbf{u} )^\mathrm{T})</math>) |
VargasMilan (talk | contribs) |
||
| Line 6: | Line 6: | ||
where <math>\nabla p</math> is the pressure difference (expressed as the partial derivative of pressure in each dimension), <math>\frac{D \mathbf{V}}{D t}</math> is the total derivative of velocity, <math>\mu \,</math> is the kinematic viscosity of the fluid, <math>\rho \,</math> is the density of the fluid, and <math>\mathbf{g}</math> is the gravitational acceleration. <ref>A.J. Smits, "A Physical Introduction to Fluid Mechanics," John Wiley & Sons, ISBN 0-471-25349-9</ref> | where <math>\nabla p</math> is the pressure difference (expressed as the partial derivative of pressure in each dimension), <math>\frac{D \mathbf{V}}{D t}</math> is the total derivative of velocity, <math>\mu \,</math> is the kinematic viscosity of the fluid, <math>\rho \,</math> is the density of the fluid, and <math>\mathbf{g}</math> is the gravitational acceleration. <ref>A.J. Smits, "A Physical Introduction to Fluid Mechanics," John Wiley & Sons, ISBN 0-471-25349-9</ref> | ||
| − | |||
| − | |||
| − | |||
== References == | == References == | ||
<references></references> | <references></references> | ||
[[Category:Mathematics]] | [[Category:Mathematics]] | ||
Revision as of 02:01, September 14, 2015
The Navier-Stokes equation is an equation in fluid mechanics that states:
where is the pressure difference (expressed as the partial derivative of pressure in each dimension), is the total derivative of velocity, is the kinematic viscosity of the fluid, is the density of the fluid, and is the gravitational acceleration. [1]
References
- ↑ A.J. Smits, "A Physical Introduction to Fluid Mechanics," John Wiley & Sons, ISBN 0-471-25349-9