Open Access

ARTICLE

Heat Absorption and Joule Heating Effects on Transient Free Convective Reactive Micropolar Fluid Flow Past a Vertical Porous Plate

MD. Shamshuddin^{1, *}, C. Balarama Krishna²

1 Department of Mathematics, Vaagdevi College of Engineering (Autonomous), Warangal, Telangana, India.
2 Department of Mathematics, S R Engineering College (Autonomous), Warangal, Telangana, India.

* Corresponding Author: MD. Shamshuddin. Email: .

Fluid Dynamics & Materials Processing 2019, 15(3), 207-231. https://doi.org/10.32604/fdmp.2019.00449

Abstract

Mathematical model for an unsteady, incompressible, electrically conducting micropolar fluid past a vertical plate through porous medium with constant plate velocity has been investigated in the present study. Heat absorption, Joulian dissipation, and firstorder chemical reaction is also considered. Under the assumption of low Reynolds number, the governing transport equations are rendered into non-dimensional form and the transformed first order differential equations are solved by employing an efficient finite element method. Influence of various flow parameters on linear velocity, microrotation velocity, temperature, and concentration are presented graphically. The effects of heat absorption and chemical reaction rate decelerate the flow is particularly near the wall. Skin friction and wall couple stress increases as heat absorption increases but the reverse phenomenon is observed in the case of chemical reaction rate. Wall mass transfer rate increases for chemical reaction and Sherwood number increases for heat absorption. Finite element study is very versatile in simulating unsteady micropolar rheo-materials processing transport phenomena. However, a relatively simple reaction effects restricted to first order.

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