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.
Highlights
Because of its vital applications in sciences that influence human life, the flow of electrically directed liquids across porous parallel plates has become a major issue
Al- Khafajy [3] studied the effects of magneto hydrodynamic (MHD) oscillatory slip flow of Jeffrey fluid with varying viscosity, temperature, and concentration, on a porous plate
Hanvey et al [4] studied the effects of an inclined magnetic field, as well as heat and mass transmission, on two infinite parallel plates using porous materials
Summary
Because of its vital applications in sciences that influence human life, the flow of electrically directed liquids across porous parallel plates has become a major issue. This is evident in food industry, extraction of crude oil from the earth, and the movement of the blood [1].Several researchers have looked at transferring the flow of oscillator liquids. Al- Khafajy [3] studied the effects of magneto hydrodynamic (MHD) oscillatory slip flow of Jeffrey fluid with varying viscosity, temperature, and concentration, on a porous plate. Hanvey et al [4] studied the effects of an inclined magnetic field, as well as heat and mass transmission, on two infinite parallel plates using porous materials. The differential transformation method was used by Sheikholeslami et al to investigate the problem of unstable nanofluid flow between parallel plates [5]
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