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Free convection flow about a cone under mixed thermal boundary conditions and a magnetic field. (English) Zbl 1099.76060

Summary: We perform a similarity analysis to investigate the laminar free-convection boundary-layer flow in the presence of a transverse magnetic field over a vertical down-pointing cone under mixed thermal boundary conditions. Boundary-layer velocity and temperature profiles are determined numerically for various values of magnetic parameter and Prandtl number. The results show that the magnetic field suppresses the velocity profiles and increases the skin friction. The temperature profiles are expanded with increasing values of the magnetic parameter resulting in higher surface temperatures. We also obtain a transformation relating the similarity solutions for boundary-layer velocity and temperature profiles associated with different values of the mixed thermal boundary condition parameter.

MSC:

76R10 Free convection
76W05 Magnetohydrodynamics and electrohydrodynamics
76M55 Dimensional analysis and similarity applied to problems in fluid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)
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