Heat and mass transfer on MHD mixed convection axisymmetric chemically reactive flow of Maxwell fluid driven by exothermal and isothermal stretching disks. (January 2016)

• Record Type: Journal Article
• Authors: Khan, N.; Mahmood, T.; Sajid, M.; Hashmi, M.S.
• Is Part Of: International journal of heat and mass transfer. Volume 92(2016:Jan.)
• Page Start: 1090
• Page End: 1105
• Publication Date: 2016-01
• Subjects: Heat transfer -- Viscous dissipation -- Joule heating -- Isothermal stretching disk -- Exothermal stretching disk -- Mixed convection -- Series solution -- Homotopy analysis method; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2015.09.001
• Languages: English
• ISSNs: 0017-9310

Abstract

Highlights: Mathematical modeling of MHD flow of a Maxwell fluid is performed. The flow consideration is due to isothermal/exothermal disks. Series solutions are computed are plotted. Effects of emerging physical parameters are explored. Abstract: The aim of present analysis is to investigate the effects of heat source/sink, chemical and material composition on steady MHD mixed convection axisymmetric flow of an incompressible Maxwell fluid between two infinite stretching disks in the presence of viscous dissipation and Joule heating. The lower disk is subjected to an exothermic surface reaction, while an upper disk is maintained at uniform temperature and concentration. Also an exothermal surface reaction modeled by Arrhenius kinetics supplied heat to the Maxwell fluid. Similarity transformations are used for simplifying equations governing the flow, thermal fields, material and chemical composition fields. The analytic solution of dimensionless governing ordinary differential equations is successfully obtained using homotopy analysis method (HAM). Here, convergence of the derived series solution is ensured. We mainly focus on the effects of Hartmann number, Archimedes number, Eckert number, Prandtl number, heat generation or absorption parameter, activation energy parameter, chemical reaction parameter on dimensionless velocity, pressure, temperature and concentration distribution. The results with several values of the problem parameters are expressed graphically. To understand the behavior of flow between stretching isothermal and exothermal disks, the values of skin friction coefficient, Nusselt number and Sherwood number are tabulated for both lower and upper disks. Further, the critical value of Frank-Kamenetskii are presented through graphs and tables and discussed for different values of parameters involved in problem.