Abstract

In this communication, attention is paid to analyze theoretically the influence of the temperature-dependent binary chemical reaction for hydro-magnetic viscous fluid flow, flowing through the porous medium due to the squeezing phenomenon. For better understanding of variations in the processes of convective heat and mass transport, Arrhenius activation energy is also accounted. The equations governing the flow, heat, and mass are altered into non-linear differential system (ordinary differential equation) by means of suitable conversion methods. Efficient convergent technique is employed to compute resulting non-linear system. The solutions thus acquired are utilized to interrogate the behavior of the physical operating variables on flow velocity, fluid temperature, and fluid concentration. Coefficient of skin friction and rate of heat and mass transport are graphically elaborated. From the graphs, it is concluded that the temperature of fluid dominates against activation energy parameter [Formula: see text] and reaction parameter [Formula: see text]. However, an opposite trend is noted for concentration field. Moreover, temperature field and fluid concentration are incremented for dominant thermal and solutal Biot numbers, respectively. This analysis has the industrial processes which include engine cooling system, polymer industry, lubrication mechanisms, design of cooling and heating systems, molding of plastic sheets, designing porous surfaces to decrease drag, optimizing oil/gas production, in the domain of engineering (i.e. chemical, biomedical, geothermal etc.), chemical or nuclear system, cooling process in nuclear reaction, biochemical process, bimolecular reaction, and polymeric flows which is electrically conducted can be restrained and managed by exploiting the magnetic field. Encouraged by such physical situations, the proposed analysis is accomplished.

Highlights

  • Recent advancement in the Darcy Law originates the fluid flows through porous medium and has gained the attention of research community in the practical perspective

  • In most of the situations, chemical reaction interacts with mass transfer in a complex manner, and it can be noticed in the manipulation of reactant species at various rates both inside the mass transport and the fluid

  • Chemical reaction features in binary mixture of convective fluid flow over a permeable sheet with Soret and Dufour impacts is determined by Makinde and Olanrewaju.[19]

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Summary

Introduction

Recent advancement in the Darcy Law originates the fluid flows through porous medium and has gained the attention of research community in the practical perspective. In most of the situations, chemical reaction interacts with mass transfer in a complex manner, and it can be noticed in the manipulation of reactant species at various rates both inside the mass transport and the fluid In this regard, the analysis of binary chemically reactive system was initiated by Bestman.[16] Subsequently, Bestman[17] presented the radiative flow of mixture having combustible characteristic through vertical channel with Arrhenius activation energy. Chemical reaction features in binary mixture of convective fluid flow over a permeable sheet with Soret and Dufour impacts is determined by Makinde and Olanrewaju.[19] Several contributions into the area of binary-type reactive flows along with the features of activation energy were discussed by Maleque.[20,21,22] Awad et al.[23] reported the rotating flow of chemically reactive fluid with generalized Arrhenius theory.

D Cf À Ch ð13Þ
Method of solutions
Concluding remarks

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