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Mathematical Analysis of a Reactive Viscous Flow through a Channel Filled with a Porous Medium

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  • Samuel O. Adesanya
  • J. A. Falade
  • J. C. Ukaegbu
  • K. S. Adekeye

Abstract

An investigation has been carried out to study entropy generation in a viscous, incompressible, and reactive fluid flowing steadily through a channel with porous materials. Approximate solutions for both velocity and temperature fields are obtained by using a rapidly convergent Adomian decomposition method (ADM). These solutions are then used to determine the heat irreversibility and Bejan number of the problem. Variations of other important fluid parameters are conducted, presented graphically, and discussed.

Suggested Citation

  • Samuel O. Adesanya & J. A. Falade & J. C. Ukaegbu & K. S. Adekeye, 2016. "Mathematical Analysis of a Reactive Viscous Flow through a Channel Filled with a Porous Medium," Journal of Mathematics, Hindawi, vol. 2016, pages 1-8, December.
    • Handle: RePEc:hin:jjmath:1350578
    DOI: 10.1155/2016/1350578
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    References listed on IDEAS

    as
    1. Bejan, Adrian, 1980. "Second law analysis in heat transfer," Energy, Elsevier, vol. 5(8), pages 720-732.
    2. Revellin, Rémi & Lips, Stéphane & Khandekar, Sameer & Bonjour, Jocelyn, 2009. "Local entropy generation for saturated two-phase flow," Energy, Elsevier, vol. 34(9), pages 1113-1121.
    3. Chee, Yi Shen & Ting, Tiew Wei & Hung, Yew Mun, 2015. "Entropy generation of viscous dissipative flow in thermal non-equilibrium porous media with thermal asymmetries," Energy, Elsevier, vol. 89(C), pages 382-401.
    4. Haddad, O.M. & Alkam, M.K. & Khasawneh, M.T., 2004. "Entropy generation due to laminar forced convection in the entrance region of a concentric annulus," Energy, Elsevier, vol. 29(1), pages 35-55.
    5. Adesanya, Samuel O. & Makinde, Oluwole D., 2015. "Irreversibility analysis in a couple stress film flow along an inclined heated plate with adiabatic free surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 222-229.
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