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Double Diffusive Mixed Convetive Heat and Mass Transfer Flow of a Viscous Fluid Through a Porous Medium in a Rectangular Duct


Affiliations
1 Department of Mathematics, V.S.U. P.G. Center, Kavali, India
2 Department of Applied Mathematics, S.P.M.V.V, Tirupati, India
     

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In this chapter, we discuss the combined influence of radiation and dissipation on the convective heat and mass transfer flow of a viscous fluild through a porous medium in a rectangular cavity using Darcy model. The governing non- linear coupled equations for the momentum, energy and diffusion are derived in terms of the non-dimensional stream function, temperature and concentration. The Galerkin finite element analysis with linear traingular elements is used to obtain the Global stiffness matrices for the values of stream function, temperature and concentration. These coupled matrices are solved using iterative procedure and expressions for stream function, temperature and concentration are obtained as a linear combinations of the shape functions. The behaviour of temperature, concentration, Nusselt number and sherwood number are discussed computationally for different values of the governing parameters.

Keywords

Heat Generation, Thermal Radiation And Chemical Reaction Effects.
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  • Double Diffusive Mixed Convetive Heat and Mass Transfer Flow of a Viscous Fluid Through a Porous Medium in a Rectangular Duct

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Authors

Sriveni
Department of Mathematics, V.S.U. P.G. Center, Kavali, India
A. Leela Ratnam
Department of Applied Mathematics, S.P.M.V.V, Tirupati, India

Abstract


In this chapter, we discuss the combined influence of radiation and dissipation on the convective heat and mass transfer flow of a viscous fluild through a porous medium in a rectangular cavity using Darcy model. The governing non- linear coupled equations for the momentum, energy and diffusion are derived in terms of the non-dimensional stream function, temperature and concentration. The Galerkin finite element analysis with linear traingular elements is used to obtain the Global stiffness matrices for the values of stream function, temperature and concentration. These coupled matrices are solved using iterative procedure and expressions for stream function, temperature and concentration are obtained as a linear combinations of the shape functions. The behaviour of temperature, concentration, Nusselt number and sherwood number are discussed computationally for different values of the governing parameters.

Keywords


Heat Generation, Thermal Radiation And Chemical Reaction Effects.

References