Numerical study of a dissipative micropolar fluid flow past an inclined porous plate with heat source/sink

Shamshuddin MD ^a,*, Thirupathi Thumma ^b

a. Department of Mathematics, Vaagdevi College of Engineering, Warangal, Telangana 506005, India
         b. Department of Mathematics, B V Raju Institute of Technology Narsapur, Medak, Telangana 502313, India

Abstract: Micropolar theories present an excellent mechanism for exploring new non-Newtonian materials processing provides a stimulating area for process engineering simulation. Motivated by area for process engineering applications, the present article presents the scope of finite element method in solving a mathematical model for magnetohydrodynamic, incompressible, dissipative and chemically reacting micropolar fluid flow and heat and mass transfer through a porous medium from an inclined plate with heat source/sink has been investigated. For this purpose, the set of governing equations have been reframed and put into a dimensionless form under the assumption of low Reynolds number with appropriate dimensionless quantities that can fit into the finite element formulation. In addition to highlighting the operational aspects of weighted residual scheme, a detailed investigation has been carried out on the associated flow structure, heat and mass transfer.  The evolution of many multi-physical parameters in these variables is illustrated graphically. Finite element code is benchmarked with the results reported in the literature to check the validity and accuracy under some limiting cases and excellent agreement is seen with published solutions and results of skin friction coefficient, couple stress coefficient, Nusselt number and Sherwood number for invoked parameter are tabulated which shows that increasing heat source/sink parameter elevates temperature. Chemical reaction parameter reduces velocity and concentration gradients. Sherwood number enhances as chemical reaction parameter increases but reverse phenomena is observed in case of inclination of angle. Furthermore, a grid independency test has been carried out for different grid sizes which has proven this method is adequate.

Keywords: Heat source/sink; Chemical reaction; Inclined porous plate; Micropolar fluid; Finite element method (FEM)