Geodesic
Studying the applicability of the algebraic slip model for prediction dispersed phase motion in the flow
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 5 (2015), pp. 76-83 Cet article a éte moissonné depuis la source Math-Net.Ru

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Two different approaches (Eulerian and Langrangian ones) are currently available for the analysis of the behavior of solid particles in flows. In the Lagrangian method, trajectories of the individual size fractions are evaluated by solving time dependent ordinary differential equations. In the Eulerian approach, partial differential equations for the conservation of mass and momentum are written for each of the particles fractions, which are solved together with the equation of the liquid flow. The particles’ drift model is based on the algebraic slip velocity approach. In this approach, the relative velocities between particles and liquid are evaluated by consideration of the forces acting on the particles. The analysis of the obtained results allows one to conclude that using the model of particles’ drift for and yields an error not exceeding $1\%$.
Keywords: Mechanics of fluid, dispersed phase, the movable wall, deposition.
Mots-clés : particles 
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O. V. Matvienko; E. V. Evtyushkin; A. O. Andropova. Studying the applicability of the algebraic slip model for prediction dispersed phase motion in the flow. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 5 (2015), pp. 76-83. http://geodesic.mathdoc.fr/item/VTGU_2015_5_a6/

[1] Dik I. G., Matvienko O. V., Neesse Th., “Modeling of hydrodynamics and separation in a hydrocyclone”, Theoretical Foundations of Chemical Engineering, 34:5 (2000), 428–438 | DOI

[2] Matvienko O. V., “Analysis of turbulence models and investigation of the structure of the flow in a hydrocyclone”, Journal of Engineering Physics and Thermophysics, 77:2 (2004), 316–323 | DOI

[3] Matvienko O. V., Dik I. G., “Numerical study of the separation characteristics of a hydrocyclone under various conditions of loading of the solid phase”, Theoretical Foundations of Chemical Engineering, 40:2 (2006), 203–208 | DOI

[4] Matvienko O. V., Agafontseva M. V., “Chislennoe issledovanie protsessa degazatsii v gidrotsiklonakh”, Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 2012, no. 4(20), 107–118 (in Russian)

[5] Matvienko O. V., Evtyushkin E. V., “Theoretical investigation of the process of cleaning oilpolluted soil in hydrocyclone apparatuses”, Journal of Engineering Physics and Thermophysics, 80:3 (2007), 502–510 | DOI

[6] Matvienko O. V., Evtyushkin E. V., “Mathematical study of hydrocyclone dispersed phase separation in clearing viscoplastic drilling fluids”, Journal of Engineering Physics and Thermophysics, 84:2 (2011), 241–250 | DOI | MR

[7] Matvienko O. V., Andropova A. O., Agafontseva M. V., “Influence of the regime of flow of particles from a hydrocyclone on its separation characteristics”, Journal of Engineering Physics and Thermophysics, 87:1 (2014), 24–37 | DOI | MR

[8] Matvienko O. V., Andropova A. O., Agafontseva M. V., “Matematicheskoe issledovanie separatsii nesfericheskikh izometricheskikh chastits dispersnoy fazy v gidrotsiklone”, XXIII Seminar po struynym, otryvnym i nestatsionarnym techeniyam, Natsional'nyy issledovatel'skiy Tomskiy politekhnicheskiy universitet, Tomsk, 2012, 248–250 (in Russian)

[9] Matvienko O. V., Bazuev V. P., Venik V. N., Smirnova N. G., “Chislennoe issledovanie protsessa obrazovaniya kavitatsionnykh puzyr'kov v smesitel'nom ustroystve”, Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta, 2014, no. 4, 231–245

[10] Ostrovskiy G. M., Prikladnaya mekhanika neodnorodnykh sred, Nauka Publ., St. Petersburg, 2000, 359 pp. (in Russian)

[11] Matvienko O. V., Ushakov V. M., Evtyushkin E. V., “Matematicheskoe modelirovanie turbulentnogo perenosa dispersnoy fazy v turbulentnom potoke”, Vestnik TGPU, 2004, no. 6(43), 50–53 (in Russian) | MR

[12] Matvienko O. V., Daneyko A. M., “Issledovanie udarnogo vzaimodeystviya chastits v potoke”, Izv. vuzov. Fizika, 56:9/3 (2013), 190–192 (in Russian)

[13] Matvienko O. V., Agafontseva M. V., Bazuev V. P., “Issledovanie dinamiki puzyr'ka v zakruchennom potoke nelineyno-vyazkoy zhidkosti”, Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta, 2012, no. 4, 144–156 (in Russian) | MR