Porous Materials Drying Model Based on the Thermodynamics of Irreversible Processes: Background and Application

  • A. G. Barbosa de LimaEmail author
  • J. M. P. Q. Delgado
  • V. A. B. de Oliveira
  • J. C. S. de Melo
  • C. Joaquina e Silva
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 48)


This chapter focuses on the heat and mass transfer (drying) in capillary-porous bodies using both the mechanistic and non-equilibrium thermodynamic approaches. A new coupled mathematical modeling to predict heat and moisture (liquid and vapor) transfer in wet capillary-porous bodies with particular reference to prolate spheroidal solids is presented and discussed. The mathematical model is based on the thermodynamics of irreversible processes by considering variable transport coefficients and equilibrium or convective boundary conditions at the surface of the solid. All the partial differential equations presented in the model have been written in prolate spheroidal coordinates. The finite-volume method has been used to obtain the numerical solution of the governing equations. Application has been done to wheat kernel drying and comparison between predicted and experimental data has showed good agreement.


Drying Numerical solution Mass Heat Elliptical geometry 



The authors would like to express their thanks to CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico, Brazil), CAPES (Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Brazil), and FINEP (Financiadora de Estudos e Projetos, Brazil) for supporting this work; to the authors of the references in this chapter that helped in our understanding of this complex subject, and to the Editors by the opportunity given to present our research in this book.


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • A. G. Barbosa de Lima
    • 1
    Email author
  • J. M. P. Q. Delgado
    • 2
  • V. A. B. de Oliveira
    • 3
  • J. C. S. de Melo
    • 1
  • C. Joaquina e Silva
    • 1
  1. 1.Department of Mechanical EngineeringFederal University of Campina GrandeCampina GrandeBrazil
  2. 2.LFC – Building Physics Laboratory, Civil Engineering Department Faculty of EngineeringUniversity of PortoPortoPortugal
  3. 3.Department of Civil EngineeringState University of ParaíbaArarunaBrazil

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