The equation of incompressible fluid flow,
where
is the kinematic viscosity,
is the velocity of the fluid parcel,
is the pressure, and
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
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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
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