MHD Fluid Flowing through a Vertical Porous Plate with the Influence of a Magnetic Field and an Angle of Inclination Using the Method of Reduced Differential Transformation

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Published: 2023-06-21

Page: 179-193


Liberty Ebiwareme *

Department of Mathematics, Rivers State University, Port Harcourt, Nigeria.

Kubugha Wilcox Bunonyo

Department of Mathematics and Statistics, Federal University Otuoke, Nigeria.

*Author to whom correspondence should be addressed.


Abstract

In this study, the effects of the magnetic tilt angle and magnetic field on the velocity, temperature, and concentration distributions of a magnetohydrodynamic fluid flow are investigated in detail. The reduced differential transformation method (RDTM), a semi-analytical method, is used to arrive at the solution. With Taylor's series for analytic functions at the origin, the problem at hand is transformed specifically using this approach. The approximate analytical solutions for the dimensionless velocity, temperature, and concentration profiles of the relevant flow parameters are accurately approximated analytically using this method. Relevant factors including the magnetic field, Casson parameters, Grashof number, thermal radiation, Schmidt number, Prandtl number, radiation absorption, heat source, porosity parameters, magnetic tilt angle, tilt angle, and modified Grashof number are all taken into consideration for distinct profiles graphically. Increasing the Casson parameter, Grashof number, and modified Grashof number were found to increase velocity while decreasing tilt angle, magnetic field, porosity parameter, and radiation absorption. Similarly, increasing the heat source and radiation parameters increases temperature but decreases in the presence of Prandtl number, magnetic tilt angle, and porosity parameters. Comparing with the literature, we confirm the accuracy and reliability of the obtained solution.

Keywords: Reduced Differential Transformation Method (RDTM), Semi-infinite porous plate, MHD, angle of inclination, radiation absorption


How to Cite

Ebiwareme , Liberty, and Kubugha Wilcox Bunonyo. 2023. “MHD Fluid Flowing through a Vertical Porous Plate With the Influence of a Magnetic Field and an Angle of Inclination Using the Method of Reduced Differential Transformation”. Asian Journal of Pure and Applied Mathematics 5 (1):179-93. https://jofmath.com/index.php/AJPAM/article/view/30.

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