Calculation of a conductive-laminar thermo-convection regime of a Newtonian fluid in a rectangular cavity with isothermal vertical boundaries |
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| Authors: | A. A. Boger S. V. Ryabov V. I. Ryazhskikh M. I. Slyusarev |
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| Affiliation: | (1) LMFE, Department of Physics, Faculty of Sciences Semlalia, B.P. 2390 Marrakech, Morocco;(2) Department of Mechanical Engineering, The University of Vermont, Burlington, VT 05405, USA |
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| Abstract: | A method of calculating a free-convection flow of a viscous incompressible medium in a rectangular cavity is proposed. The lateral boundaries of the cavity have the same constant temperature, the top and bottomboundaries are thermally insulated, and the half-width to height ratio is much smaller than unity. A decomposition of the flow domain into zones with ascending and descending flows made it possible to formulate and solve analytically a coupled parabolic system of linear equations based on the classic Oberbeck-Boussinesq assumptions. |
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