General Notions

Abstract

We consider the motion of a thermally inhomogeneous fluid rotating with a constant angular velocity. The detailed development of the set of equations describing the processes in this situation can be found in many books, e.g. in monographs by Chandrasekhar (1961) and Greenspan (1968). We describe here the main results necessary for further material presentation. The momentum for a fluid particle is given by:

$$ {{{\partial ^2}\bar V} \over {\partial t}}(\bar V\nabla )\bar V\, = \, - \nabla \,\left( {{P \over \rho } - {1 \over 2}{{\left[ {\bar \Omega \times \bar r} \right]}^2}} \right) + \nabla \left( {v\nabla \bar V} \right) - 2\left[ {\bar \Omega \times \bar V} \right] + \bar F $$

(1.1)