Unsteady State Heat Transfer in Packed-Bed Elliptic Cylindrical Reactor: Theory, Advanced Modeling and Applications

  • R. M. da Silva
  • Antonio Gilson Barbosa de LimaEmail author
  • A. S. Pereira
  • M. C. N. Machado
  • R. S. Santos
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 93)


Transport phenomena through porous media has been of continuing interest for scientists, researchers and engineers due to the wide range of industrial applications. This chapter presents information about unsteady-state heat transfer and fluid flow inside of packed-bed reactors. The topics covered are related to fundamentals of porous media, chemical reactors, including mathematical modeling and applications. Emphasis is placed on packed-bed elliptic-cylindrical reactor. Based on the concept of local thermal equilibrium, a general mathematical formulation for a pseudo-homogeneous heat transfer model written in elliptic-cylindrical coordinates along with the numerical solution of the governing equation has been presented. Herein, an overview of currently-used models and the pertinent transient conductive transport processes inside the reactor were explored. A numerical example of heat transfer and fluid flow in a multiphase system (elliptic-cylindrical reactor filled with particles) was performed, and results of the temperature distribution inside the equipment at different instant of process are presented and discussed.


Reactor Porous media Packed-bed Elliptic-cylindrical Finite volume Unsteady-state 



The authors thank to FINEP, CAPES and CNPq (Brazilian Research Agencies) for financial support to this research, and also to the researchers for their referenced studies which helped in improving the quality of this work.


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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • R. M. da Silva
    • 1
  • Antonio Gilson Barbosa de Lima
    • 2
    Email author
  • A. S. Pereira
    • 3
  • M. C. N. Machado
    • 4
  • R. S. Santos
    • 5
  1. 1.Federal Institute of Education, Science and Technology of ParaíbaAccess Highway PB 426, Rural area, Princesa IsabelBrazil
  2. 2.Department of Mechanical EngineeringFederal University of Campina GrandeCampina GrandeBrazil
  3. 3.Baiano Federal Institute of EducationScience and TechnologySanta InêsBrazil
  4. 4.Department of ChemicalState University of ParaibaCampina GrandeBrazil
  5. 5.Rural Federal University of the Semi-AridMossoróBrazil

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