Navier Stokes Equations
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Navier Stokes Equations
</dt>
The equations
of motion for a viscous
fluid which may be written
where p is the pressure; ρ is the density; t is the time; F
is the total external force; N is the fluid velocity; and v
is the kinematic viscosity. For an incompressible fluid, the term in
Missing Image:img src="SP7_n_files/del.gif" align="middle" . N (divergence) vanishes and the effects of
viscosity then play a role analogous to that of temperature in thermal
conduction and to that of density in simple diffusion. See viscosity, Ekman
spiral.
</dd>
Solutions of the Navier-Stokes equations have been obtained only in a
limited number of special cases. The equations are derived on the basis of
certain simplifying assumptions concerning the stress tensor of the fluid; in
one dimension they represent the assumption referred to as the Newtonian
friction law. [[/a>|/a>
]]
References
This article is based on NASA's Dictionary of Technical Terms for Aerospace Use
