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Steady MHD Boundary Layer Flow Past a Shrinking Sheet in the Presence of Chemical Reaction and Suction with Prescribed Heat and Mass Fluxes


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1 Department of Applied Mathematics, Bharathiar University, Coimbatore - 46, Tamil Nadu, India
     

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A steady laminar hydromagnetic flow of a viscous, incompressible electrically conducting fluid with heat and mass transfer over a shrinking sheet with prescribed heat and mass fluxes in the presence of chemical reaction is investigated. The sheet is subjected to suction and the flow is caused due to linear shrinking of the sheet. The governing nonlinear partial differential equations reduce to nonlinear ordinary differential equations by using similarity transformation. Exact solution of the momentum equation is found. The analytical solution for the boundary layer energy and concentration equation is found using Confluent hypergeometric function. Analytical expression for skin friction coefficient, wall temperature and wall concentration are also obtained. In order to get the physical insight of the problem the numerical values of the solution are obtained by fixing the values for the physical parameters involved in the problem namely Suction parameter, Magnetic parameter, Prandtl number, Heat flux parameter, Schmidt number, Chemical reaction parameter and Mass flux parameter. The results agree with the previous investigation under some special cases.

Keywords

Boundary Layer Flow, Magnetohydrodynamics, Shrinking Sheet, Heat and Mass Transfer, Confluent Hypergeometric Function.
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  • Steady MHD Boundary Layer Flow Past a Shrinking Sheet in the Presence of Chemical Reaction and Suction with Prescribed Heat and Mass Fluxes

Abstract Views: 739  |  PDF Views: 0

Authors

J. Wilfred Samuel Raj
Department of Applied Mathematics, Bharathiar University, Coimbatore - 46, Tamil Nadu, India
S.P. Anjali Devi
Department of Applied Mathematics, Bharathiar University, Coimbatore - 46, Tamil Nadu, India

Abstract


A steady laminar hydromagnetic flow of a viscous, incompressible electrically conducting fluid with heat and mass transfer over a shrinking sheet with prescribed heat and mass fluxes in the presence of chemical reaction is investigated. The sheet is subjected to suction and the flow is caused due to linear shrinking of the sheet. The governing nonlinear partial differential equations reduce to nonlinear ordinary differential equations by using similarity transformation. Exact solution of the momentum equation is found. The analytical solution for the boundary layer energy and concentration equation is found using Confluent hypergeometric function. Analytical expression for skin friction coefficient, wall temperature and wall concentration are also obtained. In order to get the physical insight of the problem the numerical values of the solution are obtained by fixing the values for the physical parameters involved in the problem namely Suction parameter, Magnetic parameter, Prandtl number, Heat flux parameter, Schmidt number, Chemical reaction parameter and Mass flux parameter. The results agree with the previous investigation under some special cases.

Keywords


Boundary Layer Flow, Magnetohydrodynamics, Shrinking Sheet, Heat and Mass Transfer, Confluent Hypergeometric Function.

References