المستخلص: |
The phenomena of convection are one of the most interesting problems in fluid dynamics. In this paper we shall study the case of linear stability of a rotating electrically conducting viscous layer heated from below lying in a uniform magnetic field based on the Boussinesq approximation. We restrict our study to the case when the direction of magnetic field and rotation are parallel; the discussion is focused on the case of large Taylor number T and Chandrasekhar number Q. Generally, magnetic field facilitates convection in a rapidly rotating frame breaking the rotational constraints. The numerical solutions for stationary convection showed that at fixed large T and as we increase Q, The critical Rayleigh number RAc stayed fixed until Q reached a special value, then as we increase Q, Rayleigh number continue to decrease reaching its minimum before starting to increase again, two minimum values are determined at large T. A further analysis done on the stationary convection is finding the critical value of Q which give the same critical Rayleigh number at large Taylor number T.
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