Thermal conductivity effects on mixed convection flow of electrically conducting fluid along vertical magnetized plate embedded in porous medium with convective boundary condition

The temperature dependent thermal conductivity, surface heat flux and magnetohydrodynamic effects on electromagnetic fluid across the magnetically vertical surface placed in porous material have been performed numerically. To reduce excessive heating, the aligned magnetic field acts like a coating material to insulate the heat which is a very important mechanism in modern technologies. To solve this problem, the primary goal of the current analysis is to magnetize the surface. The developed partial differential equations of the present magnetic mechanism are changed in nonlinear coupled ordinary differential equations with defined stream functions and similarity variables for smooth algorithm and integration. The changed ODEs are again converted in similar form for numerical outcomes by applying Keller Box approach. The numerical outcomes are deduced in graphs and tabular form with the help of MATLAB program. The distinct parameters like thermal-conductivity number xi, Biot number Bi, and porous number omega in the flow model are affected by physical features such skin friction, heat transfer, and magnetic flux for velocity profile, magnetic field profile, and temperature profile together with their slopes. After obtaining the velocity graph, magnetic-field graph, and temperature graph, their gradients are numerically examined across the magnetically vertical surface. The current thermal and magneto hydrodynamics problem is very important in the fields of MRI resonance sequences, artificial heart wolves, internal heart cavities, and nanoburning technologies.

Automated summary

This study numerically investigates the temperature dependent thermal conductivity, surface heat flux, and magnetohydrodynamic effects on electromagnetic fluid across a magnetically vertical surface placed in a porous material. The aligned magnetic field serves as a coating material to insulate the heat and reduce excessive heating, which is crucial in modern technologies. The primary goal is to magnetize the surface and the developed partial differential equations are converted into nonlinear coupled ordinary differential equations using defined stream functions and similarity variables. Numerical outcomes are obtained using the Keller Box approach and presented in graphs and tables with the help of MATLAB program. Physical features such as skin friction, heat transfer, and magnetic flux affect parameters like thermal-conductivity number, Biot number, and porous number, which in turn affect the velocity profile, magnetic field profile, and temperature profile across the magnetically vertical surface. This thermal and magneto hydrodynamics problem is important in fields such as MRI resonance sequences, artificial heart valves, internal heart cavities, and nanoburning technologies.