Abstract:
Comparative analysis of two models of porous medium (Dacry and Brinkman) on an example of mathematical simulation of transient natural convection in a porous vertical cylindrical cavity with heat-conducting shell of finite thickness in conditions of convective cooling from an environment has been carried out. The boundary-value problem of mathematical physics formulated in dimensionless variables such as stream function, vorticity and temperature has been solved by implicit finite difference method. The presented verification results validate used numerical approach and also confirm that the solution is not dependent on the mesh size. Features of the conjugate heat transfer problems with considered models of porous medium have been determined.
Citation:
T. A. Trifonova, M. A. Sheremet, “Comparative analysis of Darcy and Brinkman models at studying of transient conjugate natural convection in a porous cylindrical cavity”, Computer Research and Modeling, 5:4 (2013), 623–634
\Bibitem{TriShe13}
\by T.~A.~Trifonova, M.~A.~Sheremet
\paper Comparative analysis of Darcy and Brinkman models at studying of transient conjugate natural convection in a porous cylindrical cavity
\jour Computer Research and Modeling
\yr 2013
\vol 5
\issue 4
\pages 623--634
\mathnet{http://mi.mathnet.ru/crm423}
\crossref{https://doi.org/10.20537/2076-7633-2013-5-4-623-634}
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https://www.mathnet.ru/eng/crm423
https://www.mathnet.ru/eng/crm/v5/i4/p623
This publication is cited in the following 4 articles:
O. A. Simonov, L. N. Filimonova, “Influence of a water density maximum on the cooling of a water-saturated porous medium”, J. Appl. Mech. Tech. Phys., 62:4 (2021), 583–592
D. S. Loenko, M. A. Sheremet, “Chislennoe modelirovanie estestvennoi konvektsii nenyutonovskoi zhidkosti v zamknutoi polosti”, Kompyuternye issledovaniya i modelirovanie, 12:1 (2020), 59–72
Jarrod Schiffbauer, Evgeny Demekhin, Georgy Ganchenko, “Transitions and Instabilities in Imperfect Ion-Selective Membranes”, IJMS, 21:18 (2020), 6526
N. S. Gibanov, M. A. Sheremet, “Vliyanie polozheniya lokalnogo istochnika ob'emnogo teplovydeleniya polutsilindricheskoi formy na teploobmen vnutri zamknutogo kontura”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 28:1 (2018), 119–130
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