= Steady rotating-frame Bernoulli integral
{title2=$\tfrac12|\mathbf v|^2+p/\rho+\Phi-\tfrac12\Omega^2r_\perp^2$}
For <steady flow> of constant-density fluid in a uniformly rotating frame with conservative body forces, the displayed quantity is constant along each relative <streamline>. The <centrifugal potential> contributes the negative quadratic term, and the <Coriolis force> contributes no work because it is perpendicular to the relative velocity. The result follows by dotting the rotating <Euler equations for an inviscid fluid> with that velocity.
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