The Effects of Electrical Conductivity on Fluid Flow between Two Parallel Plates in a Porous Medioum

Alaa  Hammodat; Ghanim  Algwauish; Iman  Al-Obaidi

doi:10.24996/ijs.2021.62.12.32

Authors

Alaa Hammodat Department of Mathematics, College Education of Pure Science, Mosul University, Nineveh, Iraq https://orcid.org/0000-0003-4545-4631
Ghanim Algwauish Department of Mathematics, College Education of Pure Science, Mosul University, Nineveh, Iraq
Iman Al-Obaidi Department of Mathematics, College Education of Pure Science, Mosul University, Nineveh, Iraq

DOI:

https://doi.org/10.24996/ijs.2021.62.12.32

Keywords:

Heat transfer, Porous media, Hartmann number, Magnetic Reynolds number, Prandtl number, Reynolds number

Abstract

This paper deals with a mathematical model of a fluid flowing between two parallel plates in a porous medium under the influence of electromagnetic forces (EMF). The continuity, momentum, and energy equations were utilized to describe the flow. These equations were stated in their nondimensional forms and then processed numerically using the method of lines. Dimensionless velocity and temperature profiles were also investigated due to the impacts of assumed parameters in the relevant problem. Moreover, we investigated the effects of Reynolds number , Hartmann number M, magnetic Reynolds number , Prandtl number , Brinkman number , and Bouger number , beside those of new physical quantities (N , ). We solved this system by creating a computer program using MATLAB.