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Mass transport in spheroids using the Galerkin method

2004; Springer Science+Business Media; Volume: 21; Issue: 4 Linguagem: Inglês

10.1590/s0104-66322004000400016

1678-4383

Dhébora Rhanny Ribeiro Escorel Barros, S. N. Farias, Antônio Gilson Barbosa de Lima,

Heat and Mass Transfer in Porous Media

This work presents an analytical modelling of mass transfer in spheroidal solids using a liquid diffusion model. The diffusion equation, written in cylindrical coordinates, is solved using the Galerkin method with a constant diffusion coefficient and an equilibrium boundary condition at the surface of the solid. Results on the drying kinetics, and moisture content distribution in the solids are presented and analysed. The iso-concentration lines for moisture content show that the drying process is faster in sharp areas,. It was verified that solids with a larger area/volume ratio dry faster. The results obtained are consistent so the model presented can be used to solve diffusion problems such as drying, wetting, heating and cooling of solids with a shape that varies from a circular disk to an infinite cylinder, including a sphere and ellipsoids.