Abstract

The thermodynamical study of a mathematical model of unsteady natural convective MHD oscillatory flow through a porous medium-filled channel of infinite plates with chemical reaction and thermal radiation effect is taken into account in this respective research. The time-dependent flow governing equations (PDEs); comprises momentum, energy and concentration equations are derived for the concerned physical model and converted into dimensionless second-order ordinary differential equations (ODEs) for fluctuation of small amplitude. Further, the set of ODEs is solved by MATLAB's built-in dsolve function. The graphical analysis of fluid velocity, temperature and concentration profiles has been explicated for flow parameters. According to the results, the transient velocity and concentration profiles expand when the chemical reaction parameter and Schmidt number increase, whereas a strong magnetic field retards the transient velocity profile. In addition, the velocity, temperature, and concentration profiles decline whenever the frequency of oscillation is increased. The elucidated flow model and mathematical results are significant to be used in real-life applications, including packed bed reactors, chemical reactors, cooling the towers and rocket engines, designing of heat exchangers, sewage and wastewater treatment, chemical and magnetic filtration, and separation etc.

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