PREFERED MODE OF INSTABILITY OF ROTATING CONVECTION ACCORDING TO THE CRITICAL VALE OF PRANDTL NUMBER
Keywords:
Coriolis force, Convection, Rotating Convection, Rayleigh Number, Over-Stability convection, Taylor Number, Prandtl numberAbstract
Rotation has a deep effect on the dynamics of fluids due to the appearance of two new terms in the Navier-Stokes equations arising due to the non-inertial frame of reference. The introduction of the Coriolis term and the centrifugal force in particular has significant consequences. In this paper we shall discuss the problem of rotating convection studied by Chandrasekhar, we shall analyze the problem more deeply discussing the onset of stationary, over-stability convection and the preferred mode of instability which sets at a critical value of Prandtl number. Running a Maple program using Newton Raphson’s method to find the critical value of Prandtle number that helps to define the preferred mode of stabilities.
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