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Convection–radiation heat transfer in solar heat exchangers filled with a porous medium: Homotopy perturbation method versus numerical analysis

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  • Dehghan, Maziar
  • Rahmani, Yousef
  • Domiri Ganji, Davood
  • Saedodin, Seyfollah
  • Valipour, Mohammad Sadegh
  • Rashidi, Saman

Abstract

The case of combined conduction–convection–radiation heat transfer usually occurred in solar thermal usages is the aim of the present study. This type of combined heat transfer in heat exchangers filled with a fluid saturated cellular porous medium is investigated. The flow is modeled by the Darcy–Brinkman equation. The steady state model of this combined heat transfer is solved semi-analytically based on the homotopy perturbation method (HPM) and numerically based on the finite difference method. No analytical solution has been previously proposed for the problem. Effects of porous medium shape parameter (s) and radiation parameters (Tr and λ) on the thermal performance are analyzed. Furthermore, a discussion on the accuracy and limitations of the HPM in this kind of problems is represented. This study shows that semi-analytical methods (like HPM, VIM, DTM, and HAM) can be used in simulation and prediction of thermal performance of solar energy harvesting systems.

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  • Dehghan, Maziar & Rahmani, Yousef & Domiri Ganji, Davood & Saedodin, Seyfollah & Valipour, Mohammad Sadegh & Rashidi, Saman, 2015. "Convection–radiation heat transfer in solar heat exchangers filled with a porous medium: Homotopy perturbation method versus numerical analysis," Renewable Energy, Elsevier, vol. 74(C), pages 448-455.
    • Handle: RePEc:eee:renene:v:74:y:2015:i:c:p:448-455
    DOI: 10.1016/j.renene.2014.08.044
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    5. Rashidi, Saman & Esfahani, Javad Abolfazli & Rashidi, Abbas, 2017. "A review on the applications of porous materials in solar energy systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 73(C), pages 1198-1210.
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    8. Jouybari, H. Javaniyan & Saedodin, S. & Zamzamian, A. & Nimvari, M. Eshagh & Wongwises, S., 2017. "Effects of porous material and nanoparticles on the thermal performance of a flat plate solar collector: An experimental study," Renewable Energy, Elsevier, vol. 114(PB), pages 1407-1418.
    9. Rashidi, Saman & Kashefi, Mohammad Hossein & Kim, Kyung Chun & Samimi-Abianeh, Omid, 2019. "Potentials of porous materials for energy management in heat exchangers – A comprehensive review," Applied Energy, Elsevier, vol. 243(C), pages 206-232.
    10. Zogheib, Bashar & Tohidi, Emran, 2016. "A new matrix method for solving two-dimensional time-dependent diffusion equations with Dirichlet boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 1-13.
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