A Numerical Investigation of Hydro-Magnetic Mixed Convection Flow of Viscous Dissipative Fluid in a Channel Filled with Porous Material

Authors

  • Samaila Kenga-kwai Ahmad Department of Mathematics, Faculty of Physical and Computing Science, Usmanu Danfodiyo University, Sokoto State 2346, Nigeria
  • Yakubu Bello Department of Mathematics, Faculty of Science, Air Force Institute of Technology, Kaduna State 2104, Nigeria
  • Muhammed Murtala Hamza Department of Mathematics, Faculty of Physical and Computing Science, Usmanu Danfodiyo University, Sokoto State 2346, Nigeria

DOI:

https://doi.org/10.48048/tis.2024.6162

Keywords:

Mixed convection, Couette flow, Viscous dissipation, MHD, Porous material, Homotopy perturbation method

Abstract

The purpose of this paper is to inspect the unsteady MHD mixed convective Couette flow of viscous dissipative fluid in a vertical channel filled with porous material. The steady state analytical solutions of temperature, velocity, frictional force and heat transfer rate are obtained using the Homotopy perturbation method (HPM). The implicit finite difference technique is used to solve the transient leading equations numerically. Plots and tables with the dynamic flow parameters and dimensionless variables are displayed. During this computation, it was found that raising the Darcy parameter (Da) and the mixed convection (Gre) parameters both push the fluid flow upwards, but increasing the magnetic field's values had the opposite effect (M).

HIGHLIGHTS

  • Effect of viscous Dissipation on unsteady MHD Mixed Convection Flow with Porous Material is investigated
  • Increasing Darcy number improves the flow pattern
  • Rate of heat transfer could be enhance by considering high values of Brinkman number

GRAPHICAL ABSTRACT

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Published

2023-10-05

How to Cite

Ahmad, S. K.- kwai ., Bello, Y. ., & Hamza, M. M. . (2023). A Numerical Investigation of Hydro-Magnetic Mixed Convection Flow of Viscous Dissipative Fluid in a Channel Filled with Porous Material. Trends in Sciences, 21(1), 6162. https://doi.org/10.48048/tis.2024.6162