عنوان المقالة:LINEAR STABILITY AT THE ONSET OF ROTATING CONVECTION IN THE PRESENCE OF MAGNETIC FIELD LINEAR STABILITY AT THE ONSET OF ROTATING CONVECTION IN THE PRESENCE OF MAGNETIC FIELD
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 numberQ. 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 c Ra 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 numberT
Chandrasekhar Number Q , Convection, Rotating Convection, Magnetic Field, Rayleigh Number Ra , Stationary Convection, Stability of convection, Taylor NumberT