عنوان المقالة:THE OVERSTABILITY MODE OF ROTATING CONVECTION IN THE PRESENCE OF MAGNETIC FIELD THE OVERSTABILITY MODE OF ROTATING CONVECTION IN THE PRESENCE OF MAGNETIC FIELD
The fact of convection is one of the most remarkable problems in fluid dynamics. In this paper we shall study the case of over-stability mode of linear stability of rotating electrically conducting viscous layer heated from below lying in a uniform magnetic field based on the Boussinesq approximation. We shall follow the same analysis used in previous paper when we analyses the case of stationary convection of linear stability at the onset of rotating convection in the presence of magnetic field, so 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 and Chandrasekhar number . Generally, we have seen early in a rotating and magnetic convection that thermal stability sets mostly as over stability [11], when we combine rotation and magnetic field the manner of the instability behaves in a complicated way depending on four dimensionless numbers , , and [11]. We shall study the over-stability case seeking the nature of the dependence of these dimensionless numbers.
: Chandrasekhar Number Q , Convection, Rotating Convection, Magnetic Field, Rayleigh Number Ra , Over-Stability convection, Taylor Number T , Prandtl number Pr , Prandtl magnetic number Prm .