A Note on the Hydromagnetic Blasius Flow with Variable Thermal Conductivity

Document Type : Technical Brief


1 Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa

2 Department of Mathematical Sciences, Redeemer's University, Ede, Nigeria

3 Environmental Hydrodynamics Unit, African Center of Excellence for Water and Environment Research (ACEWATER), Redeemer's University, Ede, Nigeria

4 Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka-000, Bangladesh


In this paper, the influence of the transverse magnetic field is unraveled on the development of steady flow regime for an incompressible fluid in the boundary layer limit of a semi-infinite vertical plate. The sensitivity of real fluids to changes in temperature suggests a variable thermal conductivity modeling approach. Using appropriate similarity variables, solutions to the governing nonlinear partial differential equations are obtained by numerical integration. The approach used here is based on using the shooting method together with the Runge-Kutta-Fehlberg integration scheme. Representative velocity and temperature profiles are presented at various values of the governing parameters. The skin-friction coefficient and the rate of heat transfer are also calculated for different parameter values. Pertinent results are displayed graphically and discussed. It is found that the heat transfer rate improves with an upsurge in a magnetic field but lessens with an elevation in the fluid thermal conductivity.


Main Subjects

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