Volume 1, Issue 1, November 2012, Pages 118–152
A. Veera Suneela Rani1, V. Sugunamma2, and N. Sandeep3
1 Department of Mathematics, S. V. University, Tirupati, A.P., India
2 Department of Mathematics, S. V. University, Tirupati, A.P., India
3 Department of Mathematics, S. V. University, Tirupati, A.P., India
Original language: English
Copyright © 2012 ISSR Journals. 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.
In this paper we analyze the combine 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 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 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, Nusselt number and Sherwood number are discussed computationally for different values of the governing Parameters Ra, α, N, N1, Sc, S0 and Ec.
Author Keywords: Radiation, heat and mass transfer, porous medium, Galerkin finite element analysis.
A. Veera Suneela Rani1, V. Sugunamma2, and N. Sandeep3
1 Department of Mathematics, S. V. University, Tirupati, A.P., India
2 Department of Mathematics, S. V. University, Tirupati, A.P., India
3 Department of Mathematics, S. V. University, Tirupati, A.P., India
Original language: English
Copyright © 2012 ISSR Journals. 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.
Abstract
In this paper we analyze the combine 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 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 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, Nusselt number and Sherwood number are discussed computationally for different values of the governing Parameters Ra, α, N, N1, Sc, S0 and Ec.
Author Keywords: Radiation, heat and mass transfer, porous medium, Galerkin finite element analysis.
How to Cite this Article
A. Veera Suneela Rani, V. Sugunamma, and N. Sandeep, “Radiation Effects on Convective Heat and Mass Transfer Flow in a Rectangular Cavity,” International Journal of Innovation and Applied Studies, vol. 1, no. 1, pp. 118–152, November 2012.
