International Journal of Heat and Mass Transfer, Vol.53, No.5-6, 1183-1194, 2010
Mass and heat transfer study in solids of revolution via numerical simulations using finite volume method and generalized coordinates for the Cauchy boundary condition
This paper proposes a numerical solution for the diffusion equation with convective boundary condition applied to solids obtained through the revolution of arbitrary bi-dimensional geometries, using generalized coordinates. The diffusion equation was discretized using the finite Volume method. with a fully implicit formulation. The Solution exploits symmetry conditions and that decreases the computational effort demanded, in comparison to the traditional use of three-dimensional grids. The proposed solution was used to describe diffusion processes which have a well-known solution There was a good agreement among the results obtained through the proposed solution and the correspondent analytical Solutions, as well as the experimental data. (C) 2009 Elsevier Ltd. All rights reserved.
Keywords:Complex geometries;Drying;Cooling;Non-orthogonal grid;Finite volumes;Generalized coordinates