# Coupled Effects of Surface Inclination and Magnetic Field on Free Convection Heat Transfer of Nanofluid over a Flat Plate in a Porous Medium in the Presence of Thermal Radiation

### Abstract

The present paper focuses on the impacts of stretching surface inclination, magnetic field and thermal radiation on natural convection heat transfer of nanofluids over a surface in a porous medium. The flow and heat transfer models are solved using multi-step differential transformation method. From the parametric study, the results show that the velocity of the nanofluid increases as the plate inclination increases while the temperature of the nanofluid decreases as the plate inclination increases. Also, the flow velocity of the fluid attains minimum value when the plate assumes horizontal position while it reaches maximum value when the plate is at vertical position. The velocity of the fluid decreases as the magnetic field parameter increases. However, the temperature gradient of the flow increases as the magnetic field parameter increases. The viscous and thermal boundary layers increase with the increase of thermal radiation parameter. The present study will help in the design of flow equipment in various industrial and engineering various applications.

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*International Journal of Mathematical Sciences and Optimization: Theory and Applications*,

*2020*(1), 780 - 799. Retrieved from http://ijmso.unilag.edu.ng/article/view/1042