Eventos Anais de eventos
COBEM 2017
24th ABCM International Congress of Mechanical Engineering
A study of the boundary condition applied in description of convective drying of ginger
Submission Author:
João Carlos Rocha de Araújo , RN
Co-Authors:
João Carlos Rocha de Araújo, Ismael Araújo Da Silva Araújo , Aluizio Freire da Silva Junior, Jair Stefanini Pereira de Ataíde, Vera Solange Oliveira Farias, Wilton Pereira da Silva
Presenter: Ismael Araújo Da Silva Araújo
doi://10.26678/ABCM.COBEM2017.COB17-0899
Abstract
The water quantity withdrawn from an agricultural product in a drying process is an important indicator. This importance is due to the fact that, depending on the fate that the industry intends for this product, high values of this indicator can be positive or negative. For an adequate study of the mass transfer in the drying process, a good description of this process is necessary. However a good description is directly related to applied mathematical modeling. The migration of mass from the product to the medium can be modeled by the diffusion equation. The present work presents a mathematical modeling that considers 20 of terms of the series that represents the analytic solution for the diffusion equation, besides admitting a boundary condition of the third kind. This type of approach is uncommon in the literature. The proposed modeling was applied in the description of ginger drying at temperatures of 40 to 70°C, with air velocity of 1.5 ms-1. The results indicated a good fit of the proposed modeling to the experimental data. In addition, it was possible to conclude that the most adequate boundary condition to describe this type of process is of the third type.
Keywords
Optimization, Diffusivity, Diffusion equation, Analytical Solution
