TOPICS
Search

Navier-Stokes Equations


The equation of incompressible fluid flow,

 (partialu)/(partialt)+u·del u=-(del P)/rho+nudel ^2u,

where nu is the kinematic viscosity, u is the velocity of the fluid parcel, P is the pressure, and rho is the fluid density.

The Navier-Stokes equations appear in Big Weld's office in the 2005 animated film Robots.


See also

Convective Derivative, Euler's Equations of Inviscid Motion, Navier's Equation

Explore with Wolfram|Alpha

References

Landau, L. D. and Lifschitz, E. M. Fluid Mechanics, 2nd ed. Oxford, England: Pergamon Press, p. 15, 1982.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 139, 1997.

Referenced on Wolfram|Alpha

Navier-Stokes Equations

Cite this as:

Weisstein, Eric W. "Navier-Stokes Equations." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Navier-StokesEquations.html

Subject classifications