Numerical simulation of unsteady conjugate natural convection in a cylindrical porous domain (Darcy–Boussinesq model)

Trifonova T.A., Sheremet M.A.
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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≤Da<∞, ratio between a solid wall thickness and the inner radius of a cylinder 0.1≤h/L≤0.3, a thermal conductivity ratio 1≤λ1,2≤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.

Keywords: conjugate heat transfer, natural convection, Darcy–Boussinesq approximation, porous cylindrical cavity, transient regime, numerical simulation
Citation in English: Trifonova T.A., Sheremet M.A. Numerical simulation of unsteady conjugate natural convection in a cylindrical porous domain (Darcy–Boussinesq model) // Computer Research and Modeling, 2013, vol. 5, no. 2, pp. 179-191
Citation in English: Trifonova T.A., Sheremet M.A. Numerical simulation of unsteady conjugate natural convection in a cylindrical porous domain (Darcy–Boussinesq model) // Computer Research and Modeling, 2013, vol. 5, no. 2, pp. 179-191
DOI: 10.20537/2076-7633-2013-5-2-179-191
URL: http://crm-en.ics.org.ru/journal/article/2011/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
According to Crossref, this article is cited by:
  • Tatiana A. Trifonova, Mikhail Aleksandrovich Sheremet. Comparative analysis of Darcy and Brinkman models at studying of transient conjugate natural convection in a porous cylindrical cavity. // Computer Research and Modeling. — 2013. — V. 5, no. 4. — P. 623. DOI: 10.20537/2076-7633-2013-5-4-623-634
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