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Transient Diffusion in Arbitrary Shape Porous Bodies: Numerical Analysis Using Boundary-Fitted Coordinates

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Numerical Analysis of Heat and Mass Transfer in Porous Media

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 27))

Abstract

This chapter provides information about the diffusion phenomenon (heat and mass transfer) in porous materials such as definition, classification, modeling and experiments, with particular reference to capillary-porous body with arbitrary shape. A transient three-dimensional mathematical formulation written in boundary-fitted coordinates and all numerical formalism to discretize the diffusion equation by using the finite-volume method, including grid generation and numerical analysis of the computational solution are presented. Applications to food and ceramic industries have been done with success. An optimization technique has been presented to estimation of transport properties by comparison between numerical and experimental data.

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Acknowledgments

The authors would like to express their thanks to Brazilian agencies CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico) and CAPES (Coordenação de Aperfeiçoamento de Pessoal de Nível Superior) for supporting this work, and are also grateful to the authors of the references in this chapter that helped in the improvement of quality. Sincere thanks to Editor Prof. João M.P.Q. Delgado by the opportunity given to present our research in this book.

Author information

Authors and Affiliations

  1. Department of Education, Federal University of Campina Grande, Cuité-PB, Brazil

    Vera S. O. Farias

  2. Department of Physics, Federal University of Campina Grande, Campina Grande-PB, 58429–900, Brazil

    Wilton P. Silva & Cleide M. D. P. S. Silva

  3. LFC—Building Physics Laboratory, Civil Engineering Department, Faculty of Engineering, University of Porto, Porto, Portugal

    J. M. P. Q. Delgado

  4. Department of Chemical Engineering, Federal University of Campina Grande, Campina Grande-PB, 58429-900, Brazil

    Severino R. Farias Neto

  5. Department of Mechanical Engineering, Federal University of Campina Grande, Campina Grande-PB, Brazil, 58429-900, Brazil

    A. G. Barbosa de Lima

Authors
  1. Vera S. O. Farias
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  2. Wilton P. Silva
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  3. Cleide M. D. P. S. Silva
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  4. J. M. P. Q. Delgado
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  5. Severino R. Farias Neto
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  6. A. G. Barbosa de Lima
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Corresponding author

Correspondence to Vera S. O. Farias .

Editor information

Editors and Affiliations

  1. Universidade do Porto, Laboratorio de Fisica das, Faculdade de Engenharia, Rua Dr. Roberto Frias, Porto, 4200-465, Portugal

    J.M.P.Q. Delgado

  2. , Department of Mechanical Engineering, Federal University of Campina Grande, Campina Grande, Brazil

    Antonio Gilson Barbosa de Lima

  3. Norte, CESPU, Department of Sciences, Instituto Superior de Ciências da Saúde, Rua Central de Gandra 1317, Gandra, 4585-116, Portugal

    Marta Vázquez da Silva

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Farias, V.S.O., Silva, W.P., Silva, C.M.D.P.S., Delgado, J.M.P.Q., Farias Neto, S.R., Barbosa de Lima, A.G. (2012). Transient Diffusion in Arbitrary Shape Porous Bodies: Numerical Analysis Using Boundary-Fitted Coordinates. In: Delgado, J., de Lima, A., da Silva, M. (eds) Numerical Analysis of Heat and Mass Transfer in Porous Media. Advanced Structured Materials, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30532-0_4

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