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HEAT AND MASS DIFFUSION AND SHRINKAGE IN PROLATE SPHEROIDAL BODIES BASED ON NON-EQUILIBRIUM THERMODYNAMICS: A NUMERICAL INVESTIGATION

Volume 14, Edição 7, 2011, pp. 593-605
DOI: 10.1615/JPorMedia.v14.i7.30
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RESUMO

The diffusion phenomenon exists in many industrial applications such as in the drying, wetting, heating, and cooling of solids, and principally in biological products such as in foodstuffs (grains, fruits, vegetables, etc.). In this sense, a new mathematical formulation to describe the simultaneous heat and mass (liquid and vapor) transfer and shrinkage during drying of capillary-porous bodies, with particular reference to prolate spheroid solids, is presented. The mathematical model was based on non-equilibrium thermodynamics considering variable transport coefficients and convective boundary conditions at the surface of the solid, including dimension variations. All of the governing equations presented in the model are written in prolate spheroidal coordinates and solved numerically by the finite-volume method using fully implicit formulation. An application of the methodology was used to predict drying of wheat kernel. Results on drying and heating kinetics, and on the moisture content and temperature distributions in a wheat kernel during the drying process, are presented and analyzed. The methodology also allows verification of heat, liquid, and vapor fluxes, taking into account the thermal and moisture gradients inside the grain.

CITADO POR
  1. Melo J.C.S., de Lima Antônio Gilson Barbosa, Silva Wilton Pereira, de Lima W.M.P. Barbosa, Heat and Mass Transfer during Drying of Lentil Based on the Non-Equilibrium Thermodynamics: A Numerical Study, Defect and Diffusion Forum, 365, 2015. Crossref

  2. Barbosa de Lima A. G., Delgado J. M. P. Q., Santos I. B., Silva Santos J. P., Barbosa E. S., Joaquina e Silva C., GBI Method: A Powerful Technique to Study Drying of Complex Shape Solids, in Transport Phenomena and Drying of Solids and Particulate Materials, 48, 2014. Crossref

  3. de Lima A. G. Barbosa, Delgado J. M. P. Q., de Oliveira V. A. B., de Melo J. C. S., Joaquina e Silva C., Porous Materials Drying Model Based on the Thermodynamics of Irreversible Processes: Background and Application, in Transport Phenomena and Drying of Solids and Particulate Materials, 48, 2014. Crossref

  4. Soares de Melo J.C., Soares Gomez R., Silva Júnior J.B., de Queiroga A.X. Mesquita, Lima Dantas R., Barbosa de Lima A.G., Pereira Silva Wilton, Drying of Oblate Spheroidal Solids via Model Based on the Non-Equilibrium Thermodynamics, Diffusion Foundations, 25, 2020. Crossref

  5. Silva Edna G., Gomez Ricardo S., Gomes Josivanda P., Figueirêdo Rossana M. F., Queiroz Alexandre J. M., Silva Wilton P., Santiago Ângela M., Macedo Antonio D. B., Ferreira João P. L., Gomes Ítalo A., Lima Antonio G. B., Convective and Microwave Assisted Drying of Wet Porous Materials with Prolate Spheroidal Shape: A Finite-Volume Approach, Agriculture, 10, 11, 2020. Crossref

  6. Melo João C. S., Delgado João M. P. Q., Silva Wilton P., B. Lima Antonio Gilson, Gomez Ricardo S., Gomes Josivanda P., Figueirêdo Rossana M. F., Queiroz Alexandre J. M., Santos Ivonete B., Machado Maria C. N., Lima Wanderson M. P. B., Carmo João E. F., Non-Equilibrium Thermodynamics-Based Convective Drying Model Applied to Oblate Spheroidal Porous Bodies: A Finite-Volume Analysis, Energies, 14, 12, 2021. Crossref

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