Euler's equation or Navier-Stokes equation

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Euler's equation or Navier-Stokes equation

$\displaystyle \rho$ [ $\displaystyle \partial$ v/ $\displaystyle \partial$ t + (v^. $\displaystyle \nabla$ )v] = - $\displaystyle \nabla$ p + g + $\displaystyle \eta$ $\displaystyle \Delta$ v + ( $\displaystyle \zeta$ + $\displaystyle \eta$ /3) $\displaystyle \nabla$ ( $\displaystyle \nabla$ ^.v)

If $\eta$ = $\zeta$ = 0, the fluid is ideal and it's called Euler's equation. g is the gravitation acceleration.

For incompressible fluid, $\nabla$ ^.v = 0.

Toan T Nguyen 2004-09-06