Abstract
The peculiarities of the change of the regimes “diffusion-gravitational concentration convection” have been studied numerically. It is shown that at a certain mixture composition and pressure, substantially nonlinear distributions of the concentrations of components arise at the expense of the difference in the diffusion coefficients of components, which lead to the corresponding distribution of the gaseous mixture density. This is a reason for the formation of structured formations and the rise of convective instability in the mixtures under study. The time of the rise of convective flows and of the mean velocity of the components transfer has been estimated. Obtained results are compared with experimental data.
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V.V. Tretyakov and A.A. Sviridenko, Gas dynamics and mixture formation in swirl flows with an air flow precession, in: Proc. Int. Conf. “Advanced Problems of Thermophysics and Power Engineering’, Moscow, 9–11 October 2017, Vol. 1, Izd. Dom MEI, Moscow, 2017, P. 171–172.
V.E. Messerle, A.B. Ustimenko, A.S. Askarova, and A.O. Nagibin, Pulverized coal torch combustion in a furnace with plasma-coal system, Thermophysics and Aeromechanics, 2010, Vol. 17, No. 3, P. 435–444.
L.Kh. Ingel’, Effect of differential diffusion in two-component media, J. Engng Phys. Thermophys., 2017, Vol. 90, No. 2, P. 437–441.
V.V. Dil’man, V.A. Lotkhov, N.N. Kulov, and V.I. Naidenov, Evaporation dynamics, Theoret. Foundations Chem. Engng, 2000, Vol. 34, No. 3, P. 201–209.
V.N. Kosov, V.D. Seleznev, and Yu.I. Zhavrin, Separation of components during isothermal mixing of ternary gas systems, Tech. Phys., 1997, Vol. 42, No. 10, P. 1236–1237.
V.V. Dil’man, D.A. Lipatov, V.A. Lotkhov, and V.A. Kaminskii, Instability in unsteady-state evaporation of binary solutions into an inert gas, Theoret. Foundations Chem. Engng, 2005, Vol. 39, No. 6, P. 566–572.
G.Z. Gershuni and E.M. Zhukhovitsky, Convective Stability of Incompressible Fluid, Nauka, Moscow, 1972.
D.A. Nield and A. Bejan, Convection in Porous Media, Springer, N. Y., 2006.
V.N. Kosov, V.D. Seleznev, and Yu.I. Zhavrin, The diffusion instability of isothermal three-component gas mixtures, Thermophysics and Aeromechanics, 2000, Vol. 7, No. 1, P. 127–136.
V.N. Kossov, O.V. Fedorenko, Yu.I. Zhavrin, and V. Mukamedenkyzy, Instability of mechanical equilibrium during diffusion in a three-component gas mixture in a vertical cylinder with a circular cross section, Techn. Phys., 2014, Vol. 59, No. 4, P. 482–486.
B.R. Bird, W.E. Stewart, and E.V. Lightfoot, Transport Phenomenon. John Wiley and Sons, Inc., N. Y., 2002.
V.N. Kosov, V.D. Seleznev, and U.I. Zhavrin, The inversion of density gradient during the isothermal binary diffusion of gases equally diluted by a third gas, Thermophysics and Aeromechanics, 1998, Vol. 5, No. 2, P. 189–193.
V.A. Kaminskii, N.Yu. Obvintseva, I.S. Kalachinskaya, and V.V. Dil’man, Modeling of Rayleigh convection in the unsteady evaporation process, Matem. Modelirovanie, 2007, Vol. 19, No. 11, P. 3–10.
V.A. Kaminskii and N.Yu. Obvintseva, Evaporation of a liquid under the conditions of convective instability in the gas phase, Rus. J. Phys. Chem. A, 2008, Vol. 82, No. 7, P. 1215–1220.
V.N. Kossov, D.B. Zhakebayev, and O.B. Fedorenko, Numerical analysis of convective motions arising at isothermal diffusion in vertical ducts in three-component gas mixtures, News of the Academy of Sciences of the Republic of Kazakhstan. Ser. Physics and mathematics, 2017, Vol. 5, No. 315, P. 134–142.
V. Kossov, D. Zhakebayev, and O. Fedorenko, Experimental and numerical mass transfer studies in case of convective flows occurrence in isothermal ternary gas mixtures, in: Int. Center for Heat and Mass Transfer. Digital Library. Int. Symp. Advances in Computational Heat Transfer, Napoli, Italy, 2017, P. 1971–1985.
V.I. Polezhaev, A.V. Bune, N.A. Verezub, G.S. Glushko, V.L. Gryaznov, K.G. Dubovik, S.A. Nikitin, A.I. Prostomolov, A.I. Fedoseev, and S.G. Cherkassov, Mathematical Modeling of Convective Heat and Mass Transfer Based on the Navier-Stokes Equations, Nauka, Moscow, 1987.
M. Navon, Pent: a periodic penta-diagonal systems solver, Communs. Appl. Numer. Methods, 1987, Vol. 3, No. 1, P. 63–69.
J. Kim and P. Moin, Application of a fractional-step method to incompressible Navier-Stokes equations, J. Comput. Phys., 1985, Vol. 59, P. 308–323.
A.U. Abdibekova, D.B. Zhakebayev, and B.T. Zhumagulov, The decay of MHD turbulence depending on the conducting properties of environment, Magnetohydrodynamics, 2014, Vol. 50, No. 2, P. 121–138.
A.Z. Aitkozhaev, Yu.I. Zhavrin, V.N. Kossov, and N.D. Kossov, Concentration convection in isothermal three-component gas mixtures with ballast gas, Dokl. National Academy of Sciences of the Republic of Kazakhstan, 1993, No. 2, P. 21–26.
V.N. Kossov and V.D. Seleznev, Anomalous rise of a free gravitational convection in isothermal ternary gaseous mixtures, Ural Branch of RAS, Ekaterinburg, 2004.
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The work was financially partially supported by the Science Committee of the Ministry of Education and Science of the Kazakhstan Republic, project No. AP05130986 “Special Regimes and the Rise of Spatio-temporal Convective Formations at a Diffusion in Multi-component Gas Mixtures”.
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Kossov, V.N., Fedorenko, O.V., Zhakebaev, D.B. et al. Peculiarities of the rise of structured formations at the boundary of the change of the regimes “diffusion-concentration convection” at an isothermal mixing of a binary mixture equally diluted by the third component. Thermophys. Aeromech. 26, 27–35 (2019). https://doi.org/10.1134/S0869864319010049
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DOI: https://doi.org/10.1134/S0869864319010049