MATHEMATICAL MODELING OF MAGNETO PULSATILE BLOOD FLOW THROUGH A POROUS MEDIUM WITH A HEAT SOURCE

Authors

  • mohammed Idrissa Auwalu idriss mohammed mai idriss aloomapolytechnics geidam
  • Ali Aji Department of General Studies, Mai Idris Alooma Polytechnic Geidam Yobe State, Nageria.
  • Radiya Saeed Department of Mathematical Sciences, Abubakar Tafawa Balewa University, Bauchi, Nageria
  • Alhaji Baba Umar Department of General Studies, Federal Polytechnic Damaturu, Yobe State

Abstract

 

ABSTRACT

In this current investigation, we introduce a mathematical framework to describe the behavior of non-Newtonian blood flow in a non-Darcy porous medium under the influence of a magnetic field, heat source, and Joule effect. The magnetic field is uniformly oriented perpendicular to the porous surface. To tackle the governing nonlinear partial differential equations, we employ the explicit finite difference method (FDM) for numerical solution. We delve into the impact of several crucial parameters, including the Reynolds number, hydro-magnetic parameter, Forchheimer parameter, Darcie parameter, Prandtl number, Eckert number, heat source parameter, and Schmidt number. Through the visualization of graphical representations, we analyze how these parameters affect the velocity, temperature, and concentration profiles. This research holds practical relevance in fields such as surgical procedures, industrial materials processing, and diverse heat transfer applications.

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Published

2024-12-20

Issue

Vol. 8 No. 2 SEPTEMBER (2024): This is the second issue for Vol. 8.

Section

Articles