This article is cited in 3 scientific papers (total in 3 papers)
Study of natural convective flows with unstable temperature stratification
P. A. Anan'ev, P. K. Volkov
ZAO NPVP Turbokon, ul. Komsomol'skaya roshcha 43, Kaluga, 248010 Russia
Flow regimes developing under unstable thermal stratification are studied by analyzing flows in inclined channels heated from the bottom. Regularized Oberbeck–Boussinesq equations written in terms of velocity and pressure are solved by the finite-element method with the software package JoinCAD\FEM. The resulting numerical solutions describe two- and three-dimensional flows in an inclined channel with the end faces held at different temperatures. It is found that coherent structures develop depending on the inclination. The intensity of the convective flows is maximal at a certain value of the inclination.
natural convection, Oberbeck–Boussinesq equations, regularization, finite element method, inclined channel.
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Computational Mathematics and Mathematical Physics, 2005, 45:7, 1245–1258
P. A. Anan'ev, P. K. Volkov, “Study of natural convective flows with unstable temperature stratification”, Zh. Vychisl. Mat. Mat. Fiz., 45:7 (2005), 1289–1303; Comput. Math. Math. Phys., 45:7 (2005), 1245–1258
Citation in format AMSBIB
\by P.~A.~Anan'ev, P.~K.~Volkov
\paper Study of natural convective flows with unstable temperature stratification
\jour Zh. Vychisl. Mat. Mat. Fiz.
\jour Comput. Math. Math. Phys.
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Anan'ev P.A., Volkov P.K., “Natural Convection Induced in a Fluid by the Hot Inner Walls of a “Submerged” Channel”, Fluid Dyn., 41:6 (2006), 871–880
Volkov P.K., “Simulation in Ground-Based Conditions of Natural Media in Deposit Strata”, Dokl. Phys., 52:11 (2007), 625–629
Volkov P., “Prediction of Properties of Nonlinear Processes”, Applications of Mathematics in Engineering and Economics '34, AIP Conference Proceedings, 1067, 2008, 174–184
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