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Journal of Applied Mathematics
Volume 2012, Article ID 594701, 29 pages
Research Article

A Finite Element Study of Double Diffusive Mixed Convection in a Concentration Stratified Darcian Fluid Saturated Porous Enclosure under Injection/Suction Effect

1Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur 208016, India
2Department of Applied Mathematics, Defence Institute of Advanced Technology, Pune 411025, India

Received 9 April 2012; Accepted 23 April 2012

Academic Editor: Mehmet Sezer

Copyright © 2012 B. V. Rathish Kumar and S. V. S. S. N. V. G. Krishna Murthy. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Numerical investigation of mixed convection flow in a concentration-stratified fluid-saturated vertical square porous enclosure is investigated by Galerkin finite element method. The forced flow conditions are imposed by providing an inlet at the bottom wall and an outlet with a suction on the top wall. The free convection is induced by introducing a hot but isothermal temperature on the left vertical wall together with Boussinesq approximation on density. Numerical results are presented by tracing the cumulative heat and mass fluxes, streamline and isotherms of the fluid for a wide range of governing parameters such as suction/injection velocity “ 𝑎 ”, suction/injection width ( 𝐷 / 𝐻 ), mass stratification parameters ( 𝑆 𝐶 ), Rayleigh number “Ra”, buoyancy ratio “ 𝐵 ”, and Lewis number “Le”.