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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2020 112, 14 pp. (Mi ipmp2903)

Investigation of square cells stability in liquids with height varied thermal conductivity

V. V. Kolmychkov, O. S. Mazhorova


Abstract: The paper numerically investigates stable convective structures in non-boussinesq fluid with thermal conductivity variyng with height. The main focus of the paper is an existance and stability of square cells for different values of Prandtl number.

Keywords: Rayleigh–Bénard convection, convective stability, non-Boussinesq fluid, numerical simulation, stable planforms, rolls, hexagons, square cells, Prandtl number, non-uniform thermal conductivity.

DOI: 10.20948/prepr-2020-112



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© Steklov Math. Inst. of RAS, 2024