NUMERICAL INVESTIGATION OF MAGNETOHYDRODYNAMIC FLOW IN A VERTICAL CHANNEL FILLED WITH POROUS MEDIA UNDER THE COMBINED INFLUENCE OF THERMAL RADIATION, VISCOUS DISSIPATION AND TEMPERATURE-DEPENDENT VISCOSITY

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Paper Title

NUMERICAL INVESTIGATION OF MAGNETOHYDRODYNAMIC FLOW IN A VERTICAL CHANNEL FILLED WITH POROUS MEDIA UNDER THE COMBINED INFLUENCE OF THERMAL RADIATION, VISCOUS DISSIPATION AND TEMPERATURE-DEPENDENT VISCOSITY

Authors

 Yusuf A.B1, Suleiman U.2 & Suleiman S.3

Keywords

Magnetohydrodynamic (MHD) flow, Vertical porous channel, Porous materials, Thermal radiation, viscous dissipation, Temperature-dependent viscosity, Runge-Kutta fourth order

ABSTRACT

This study numerically investigates the magneto hydrodynamics (MHD) flow in a vertical porous channel filled with porous materials considering the joint influence of thermal radiation, viscous dissipation and temperature dependent viscosity. The governing equation are transformed in to dimensionless equation then are solved numerically using Runge Kutta Order Four with Shooting techniques by using MATLAB package. The effect of pertinent parameters on flow characteristics, temperature distribution and velocity profiles are analyzed. The results provide insights into the complex interactions between magnetic fields, thermal radiation and viscous dissipation in a porous media, with potential applications in fields like geothermal energy, nuclear reactors and thermal insulation. The findings highlight the significance of considering temperature dependent viscosity and thermal radiation in MHD flow through porous channels.

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