Abstract:
Mathematical simulation on unsteady natural convection in a closed porous cylindrical cavity having finite thickness heat-conducting solid walls in conditions of convective heat exchange with an environment has been carried out. A boundary-value problem of mathematical physics formulated in dimensionless variables such as stream function and temperature on the basis of Darcy–Boussinesq model has been solved by finite difference method. Effect of a porous medium permeability $10^{—5}\le Da < \infty$, ratio between a solid wall thickness and the inner radius of a cylinder $0.1 \le h/L \le 0.3$, a thermal conductivity ratio $1 \le \lambda_{1,2} \le 20$ and a dimensionless time on both local distributions of isolines and isotherms and integral complexes reflecting an intensity of convective flow and heat transfer has been analyzed in detail.
Citation:
T. A. Trifonova, M. A. Sheremet, “Numerical simulation of unsteady conjugate natural convection in a cylindrical porous domain (Darcy–Boussinesq model)”, Computer Research and Modeling, 5:2 (2013), 179–191
\Bibitem{TriShe13}
\by T.~A.~Trifonova, M.~A.~Sheremet
\paper Numerical simulation of unsteady conjugate natural convection in a cylindrical porous domain (Darcy--Boussinesq model)
\jour Computer Research and Modeling
\yr 2013
\vol 5
\issue 2
\pages 179--191
\mathnet{http://mi.mathnet.ru/crm390}
\crossref{https://doi.org/10.20537/2076-7633-2013-5-2-179-191}
Linking options:
https://www.mathnet.ru/eng/crm390
https://www.mathnet.ru/eng/crm/v5/i2/p179
This publication is cited in the following 3 articles:
I.A. Zakirova, N.D. Chichirova, “Mathematical simulation of the thermal processes in the heating networks insulation using thin-film covering”, IOP Conf. Ser.: Earth Environ. Sci., 288:1 (2019), 012128
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
T. A. Trifonova, M. A. Sheremet, “Sravnitelnyi analiz modelei Darsi i Brinkmana pri issledovanii nestatsionarnykh rezhimov sopryazhennoi estestvennoi konvektsii v poristoi tsilindricheskoi oblasti”, Kompyuternye issledovaniya i modelirovanie, 5:4 (2013), 623–634
Citation in format AMSBIB
Contact us: