Geodesic
Numerical simulation of natural convection of viscous fluid in a channel with a hot cylinder
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 147 (2005) no. 3, pp. 141-147 
A. B. Mazo. Numerical simulation of natural convection of viscous fluid in a channel with a hot cylinder. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 147 (2005) no. 3, pp. 141-147. http://geodesic.mathdoc.fr/item/UZKU_2005_147_3_a8/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

A new variation of finite element method for calculation of natural convection in a channel containing a heater is offered. The method is based on the original formulation of the boundary conditions for unsteady Navier–Stokes problems in variables “stream function – vorticity – temperature”

[1] Sebisi T., Bredshou P., Konvektivnyi teploobmen, Mir, M., 1987, 592 pp.

[2] V. C. Avduevskii(red.), Matematicheskoe modelirovanie konvektivnogo teploobmena na osnove uravnenii Nave–Stoksa, Nauka, M., 1987, 272 pp. | MR

[3] Shi D., Chislennye metody v zadachakh teploobmena, Mir, M., 1988, 544 pp.

[4] Mahfouz F. M., Kocabiyik S., “Transient numerical simulation of buoyancy driven flow adjacent to an elliptic tube”, Int. J. of Heat and Fluid Flow, 2003, no. 24, 864-873 | DOI

[5] Srivastava A., Dutta S., Panigrahi P. K., Muralidhar K., “Laser schlieren measurement of vertical flow past a heated horizontal circular cylinder”, Int. Communications in Heat and Mass Transfer, 2005, no. 32, 520–528 | DOI

[6] Corcione M., “Correlating equations for free convection heat transfer from horizontal isothermal cylinders set in a vertical array”, Int. J. of Heat and Mass Transfer, 2005, no. 48, 3660-3673 | DOI | Zbl

[7] Fletcher K., Vychislitelnaya gidrodinamika, Ch. 2, Mir, M., 1991, 552 pp. | MR

[8] Mazo A. B., Dautov R. Z., “O granichnykh usloviyakh dlya uravnenii Nave–Stoksa v peremennykh funktsiya toka – zavikhrennost pri modelirovanii obtekaniya sistemy tel”, IFZh, 78:2 (2005), 75–79