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Mixed Convective Elastico-Viscous Fluid Flow Past a Porous Plate in Presence of Induced Magnetic Field and Energy Dissipations


Affiliations
1 Department of Mathematics, Gauhati University, Guwahati-781 014 Assam, India
2 Department of Mathematics, Royal School of Engineering and Technology, Guwahati-781 035 Assam, India
3 Department of Mathematics, Dibrugarh University, Dibrugarh-786 004 Assam, India
     

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A mixed convective hydro-magnetic flow of visco-elastic fluid past an infinite vertical porous surface with constant suction has been investigated in presence of heat and mass transfer. Visco-elastic fluid flow is characterized by Walters liquid (Model B') for short relaxation memories. A magnetic field of strength B0 is applied along the transverse direction to the surface. To study the governing fluid motion, we have considered the effects of induced magnetic field and magnetic dissipations of energy. Mechanism of heat transfer arises from mixed convection along with dissipation of energy due to viscosity. Let Tw and Cw be respectively the temperature and the molar species concentration of the fluid at the surface. To solve the governing equations of motion, we have used multi-parameter perturbation scheme. Two non-dimensional numbers taken as perturbation parameters are Eckert number and visco-elastic parameter. The results are discussed graphically for the various values of elastico-viscous parameter along with other values of flow parameters involved in the solution.

Keywords

Elastico-Viscous, Induced Magnetic Field, Perturbation Scheme, Current Density, Eckert Number, 2000 AMS Mathematics Subject Classification:, 76A05, 76A10.
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  • Mixed Convective Elastico-Viscous Fluid Flow Past a Porous Plate in Presence of Induced Magnetic Field and Energy Dissipations

Abstract Views: 170  |  PDF Views: 2

Authors

Rita Choudhury
Department of Mathematics, Gauhati University, Guwahati-781 014 Assam, India
Kamal Debnath
Department of Mathematics, Royal School of Engineering and Technology, Guwahati-781 035 Assam, India
Debasish Dey
Department of Mathematics, Dibrugarh University, Dibrugarh-786 004 Assam, India

Abstract


A mixed convective hydro-magnetic flow of visco-elastic fluid past an infinite vertical porous surface with constant suction has been investigated in presence of heat and mass transfer. Visco-elastic fluid flow is characterized by Walters liquid (Model B') for short relaxation memories. A magnetic field of strength B0 is applied along the transverse direction to the surface. To study the governing fluid motion, we have considered the effects of induced magnetic field and magnetic dissipations of energy. Mechanism of heat transfer arises from mixed convection along with dissipation of energy due to viscosity. Let Tw and Cw be respectively the temperature and the molar species concentration of the fluid at the surface. To solve the governing equations of motion, we have used multi-parameter perturbation scheme. Two non-dimensional numbers taken as perturbation parameters are Eckert number and visco-elastic parameter. The results are discussed graphically for the various values of elastico-viscous parameter along with other values of flow parameters involved in the solution.

Keywords


Elastico-Viscous, Induced Magnetic Field, Perturbation Scheme, Current Density, Eckert Number, 2000 AMS Mathematics Subject Classification:, 76A05, 76A10.