A Note on The Stability of Generalized Hydromagnetic Thermal Shear Flows in the Presence of Horizontal Magnetic Fied
نویسنده
چکیده
The paper presents a mathematical analysis of the stability of generalized hydromagnetic thermal shear flows in the Presence of horizontal magnetic field. The physical configuration is that of a horizontal layer of an incompressible inviscid heat conducting fluid of zero electrical resistivity in which there is a differential streaming in the horizontal direction and density variation in the vertical direction while the entire system is confined between two horizontal boundaries of different but uniform temperatures with the temperature of the lower boundary greater than that of the upper one in the presence of a uniform horizontal magnetic field. Results concerning the validity of the principle of exchange of stabilities, existence of non-oscillatory modes and the bounds for the phase velocity of disturbances, etc. are mathematically established for certain classes of differential streaming function. Keywords— Parallel shear flows, Stratification , thermal stability ,instability exchange, Sreaming function
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