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Analytical Solution of Nonlinear MHD Flow Past A Porous Sheet with Prescribed Heat Flux, Viscous Dissipation, Heat Generation and Radiation Effects


Affiliations
1 Department of Mathematics, Sathyabama University, Chennai-19, Tamilnadu, India
2 Department of Applied Mathematics, Bharathiar University, Coimbatore-46, Tamilnadu, India
 

Influence of viscous energy dissipation, heat generation and radiation on nonlinear MHD boundary layer 2-D flow of gray fluid past a linear stretching porous sheet with prescribed heat flux is studied. Exact solution of momentum equation and skin friction coefficients are obtained with the help of similarity transformations. Energy equation is solved using nonhomogeneous confluent hypergeometric function. Influence of Eckert number, magnetic field together with heat generation is to enhance the temperature distribution whereas the effect of porosity, Prandtl number and radiation is to suppress it. Such flow of fluids has abundant practical applications in polymer processing industry, lubrication, energy storage and recovery, insulation of buildings and equipments and also in many engineering areas such as nuclear engineering, mechanical engineering and civil engineering etc.

Keywords

Heat Flux, Magnetic Field, Radiation, Stretching Porous Sheet, Viscous Dissipation, Viscous Energy Dissipation, Heat Source.
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  • Analytical Solution of Nonlinear MHD Flow Past A Porous Sheet with Prescribed Heat Flux, Viscous Dissipation, Heat Generation and Radiation Effects

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Authors

M. Kayalvizhi
Department of Mathematics, Sathyabama University, Chennai-19, Tamilnadu, India
S. P. Anjali Devi
Department of Applied Mathematics, Bharathiar University, Coimbatore-46, Tamilnadu, India

Abstract


Influence of viscous energy dissipation, heat generation and radiation on nonlinear MHD boundary layer 2-D flow of gray fluid past a linear stretching porous sheet with prescribed heat flux is studied. Exact solution of momentum equation and skin friction coefficients are obtained with the help of similarity transformations. Energy equation is solved using nonhomogeneous confluent hypergeometric function. Influence of Eckert number, magnetic field together with heat generation is to enhance the temperature distribution whereas the effect of porosity, Prandtl number and radiation is to suppress it. Such flow of fluids has abundant practical applications in polymer processing industry, lubrication, energy storage and recovery, insulation of buildings and equipments and also in many engineering areas such as nuclear engineering, mechanical engineering and civil engineering etc.

Keywords


Heat Flux, Magnetic Field, Radiation, Stretching Porous Sheet, Viscous Dissipation, Viscous Energy Dissipation, Heat Source.



DOI: https://doi.org/10.17485/ijst%2F2015%2Fv8i5%2F67402