Abstract
The problem of motion of monodisperse spherical particles in a heterogeneous medium in nonisothermal free convection of a carrying incompressible liquid in a square cavity with inhomogeneous distribution of temperature on the walls is considered. The problem is solved by the finite-difference method via joint solution of equations for the carrying phase in Euler variables and the equation for a disperse particle in Lagrange variables.
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References
P. C. Reist, Aerosol Science and Technology [Russian translation], Mir, Moscow (1987).
D. V. Lyubimov, T. P. Lyubimova, and A. V. Shtaube, Capture of dust particles by a convective vortex, in: Proc. 3rd Russian National Conf. on Heat Transfer [in Russian], Vol. 5, MÉI, Moscow (2002), pp. 258–261.
R. I. Nigmatulin, Principles of the Mechanics of Heterogeneous Media [in Russian], Nauka, Moscow (1978).
L. P. Kholpanov, B. R. Ismailov, and P. Vlasak, Modelling of multiphase flow containing bubbles, drops and solid particles, Eng. Mech., 12, No. 6, 1–11 (2005).
L. P. Kholpanov and R. I. Ibyatov, Mathematical simulation of the dynamics of a dispersed phase, Teor. Osnovy Knim. Tekhnol., 39, No. 2, 206–215 (2005).
V. I. Polezhaev and V. L. Gryaznov, Method of calculation of boundary conditions for the Navier-Stokes equations in “vortex, stream function” variables, Dokl. Akad. Nauk SSSR, 219, No. 2, 30–34 (1974).
V. M. Paskonov, V. I. Polezhaev, and L. A. Chudov, Numerical Simulation of Heat-and Mass Transfer Processes [in Russian], Nauka, Moscow (1984).
V. I. Polezhaev, A. V. Buné, N. I. Verezub, et al., Mathematical Simulation of Convective Heat and Mass Transfer on the Basis of Navier-Stokes Equations [in Russian], Nauka, Moscow (1987).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 81, No. 1, pp. 81–89, January–February, 2008.
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Kholpanov, L.P., Nekrasova, E.I. & Nekrasov, A.K. Mathematical simulation of the dynamics of a dispersed phase in free gravitational convection of a viscous incompressible liquid in a square cavity. J Eng Phys Thermophy 81, 82–91 (2008). https://doi.org/10.1007/s10891-008-0011-x
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DOI: https://doi.org/10.1007/s10891-008-0011-x