User:Tohline/PGE/RotatingFrame
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Steady-State Governing Relations
In a rotating frame of reference and written in Eulerian form, the principal governing equations are:
<math> \frac{\partial \rho}{\partial t} + \nabla\cdot(\rho \vec{v}) = 0 </math>
<math> \frac{\partial \vec{v}}{\partial t} + (\vec{v}\cdot \nabla)\vec{v} = -\nabla \biggl[H + \Phi -\frac{1}{2}\omega^2 R^2 \biggr] -2\vec{\omega}\times\vec{v} </math>
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