Comparative analysis of Darcy and Brinkman models at studying of transient conjugate natural convection in a porous cylindrical cavity

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List of references:

  1. И. А. Алешкова, М. А. Шеремет. Математическое моделирование сопряженной термогравитационной конвекции в пористой среде // Вестник Удмуртского университета. Математика. Механика. Компьютерные науки. — 2010. — № 2. — С. 49–56.
  2. М. Маскет. Течение однородных жидкостей в пористой среде. — М: Институт компьютерных исследований, 2004. — 628 с.
  3. П. Роуч. Вычислительная гидродинамика. — М: Мир, 1980. — 616 с.
  4. Т. А. Трифонова, М. А. Шеремет. Численные исследования нестационарных режимов сопряженной естественной конвекции в пористой цилиндрической области (модель Дарси–Буссинеска) // Компьютерные исследования и моделирование. — 2013. — Т. 5, № 2. — С. 179–191. — DOI: 10.20537/2076-7633-2013-5-2-179-191
  5. А. Э. Шейдеггер. Физика течения жидкостей через пористые среды. — М: Институт компьютерных исследований, 2008. — 254 с.
  6. I. A. Aleshkova, M. A. Sheremet. Unsteady conjugate natural convection in a square enclosure filled with a porous medium // International Journal of Heat and Mass Transfer. — 2010. — V. 53. — P. 5308–5320. — DOI: 10.1016/j.ijheatmasstransfer.2010.07.025.
  7. A. Alhashash, H. Saleh, I. Hashim. Effect of conduction in bottom wall on Benard convection in a porous enclosure with localized heating and lateral cooling // Transport in Porous Media. — 2013. — V. 96. — P. 305–318. — DOI: 10.1007/s11242-012-0089-7. — MathSciNet: MR3034176.
  8. T. Basak, S. Roy, T. Paul, I. Pop. Natural convection in a square cavity filled with a porous medium: Effects of various thermal boundary conditions // International Journal of Heat and Mass Transfer. — 2006. — V. 49. — P. 1430–1441. — DOI: 10.1016/j.ijheatmasstransfer.2005.09.018.
  9. J. Bear. Dynamics of fluids in porous media. — Amsterdam: Elsevier, 1972. — 764 p.
  10. A. Bejan. Convection heat transfer. — New Jersey: John Wiley & Sons, 2004. — 694 p.
  11. H. C. Brinkman. A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles // Applied Scientific Research. — 1949. — V. 1. — P. 27–34.
  12. H. C. Brinkman. On the permeability of media consisting of closely packed porous particles // Applied Scientific Research. — 1949. — V. 1. — P. 81–86.
  13. P. Forchheimer. Wasserbewegung durch Boden // Zeitschrift des Vereins Deutscher Ingenieure. — 1901. — V. 45. — P. 1736–1741.
  14. A. Misirlioglu, A. C. Baytas, I. Pop. Natural convection inside an inclined wavy enclosure filled with a porous medium // Transport in Porous Media. — 2006. — V. 64. — P. 229–246. — DOI: 10.1007/s11242-005-2857-0.
  15. G. Neale, W. Nader. Practical significance of Brinkman's extension of Darcy's law: coupled parallel flows within a channel and a bounding porous medium // Canadian Journal of Chemical Engineering. — 1974. — V. 52. — P. 475–478. — DOI: 10.1002/cjce.5450520407.
  16. D. A. Nield, A. Bejan. Convection in porous media. — New York: Springer, 2006. — 640 p. — MathSciNet: MR1656781.
  17. H. Saleh, I. Hashim. Conjugate natural convection in a porous enclosure with non-uniform heat generation // Transport in Porous Media. — 2012. — V. 94. — P. 759–774. — DOI: 10.1007/s11242-012-0023-z. — MathSciNet: MR2974683.
  18. M. A. Sheremet. The influence of cross effects on the characteristics of heat and mass transfer in the conditions of conjugate natural convection // Journal of Engineering Thermophysics. — 2010. — V. 19. — P. 119–127. — DOI: 10.1134/S1810232810030021.

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