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Thermal Stability of Mixed Convection Boundary Layer MHD Flow Over a Horizontal Circular Cylinder Under Convective Boundary Condition

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Document pages: 10 pages

Abstract: In this paper, the influence of small disturbances three-dimensional on the stability of a mixed convection Magnetohydrodynamic (MHD) boundary-layer flow past a horizontal circular cylinder subjected a radial magnetic field is analyzed. Stream flowing vertically upwards taking into account the thermal convective boundary condition of the cylinder. The stability of flow is studied in presence of effects such as magnetic field and Biot number. The governing differential equations in basic flow are solved numerically by a well-known method named as Keller Box Method. The linear stability is then analyzed using the normal mode decomposition. The resulting eigenvalue problem is then solved numerically by the pseudo-spectral method employing Laguerre’s polynomials. The computed results for the basic flow and the stability have been depicted and discussed in detail through graphs for various parametric conditions. The critical points is illustrated graphically to show interesting features of the solutions. Globally one can observe that effect of magnetic field acts to reduce the instability. The results also show that the critical value of the Richardson number decreases when Bi increases, that is to say that this parameter has a destabilizing effect.

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