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Unsteady hydromagnetic chemically reacting mixed convection flow over a permeable stretching surface with slip and thermal radiation. (English) Zbl 1349.76887

Summary: The present investigation deals with unsteady hydromagnetic chemically reacting mixed convection flow of incompressible viscous fluid past a vertically moving permeable stretching sheet in the presence of suction/injection, heat source/absorption, thermal radiation, viscous dissipation and slip effects. The governing partial differential equations are reduced into a set of non-linear ordinary differential equations by suitable transformations. Keller box method is applied to solve the system of non-linear ordinary differential equations for which the implementation is made with the help of matlab. The important parameters in this study are: Prandtl number \(\mathrm{Pr}\), Schmidt number \(\mathrm{Sc}\), buoyancy force parameter \(\lambda\), radiation parameter \(Nr\), magnetic parameter \(M\), buoyancy forces ratio parameter \(N\), the unsteady parameter \(A\), suction/injection parameter \(s\), Eckert number \(\mathrm{Ec}\), heat source/sink parameter \(Q\), chemical reaction parameter \(R\), velocity slip parameter \(s_v\), temperature slip parameter \(s_t\) and species concentration slip parameter \(s_m\). Effects of these parameters on velocity, temperature and species concentration profile of the fluid are presented and analyzed graphically. Furthermore, numerical investigations have been made for the skin friction coefficient and surface heat and mass transfer rates for some of the parameters.

MSC:

76W05 Magnetohydrodynamics and electrohydrodynamics
76E06 Convection in hydrodynamic stability
80A32 Chemically reacting flows

Software:

Matlab
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Full Text: DOI

References:

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