Creator:
Linga Raju, Temburu ; Muralidhar, P.
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Subject and Keywords:
heat transfer ; mass transfer ; radiation ; dissipation ; heat source ; rectangular cavity ; porous medium
Abstract:
In this paper, an attempt is made to discuss the combined influence of radiation and dissipation on the convective heat and mass transfer flow of a viscous fluid through a porous medium in a rectangular cavity using the Darcy model. Making use of the incompressibility, 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 triangular elements is used to obtain the global stiffness matrices for the values of stream function, temperature and concentration. ; These coupled matrices are solved using an iterative procedure and expressions for the stream function, temperature and concentration are obtained as linear combinations of the shape functions. The behavior of temperature, concentration, the Nusselt number and Sherwood number is discussed computationally for different values of the governing parameters, such as the Rayleigh Number (Ra), heat source parameter, Eckert number (Ec), Schmidt Number (Sc), Soret parameter (S0), buoyancy ratio (N).
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
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Source:
IJAME, volume 18, number 4 (2013)