Enviar artigo por via de e-mail Sedimentation Waves in a Two-Phase Granular Liquid
- Autores: Shelukhin V.V.1, Neverov V.V.1
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Afiliações:
- Lavrentiev Institute of Hydrodynamics SB RAS
- Edição: Volume 87, Nº 2 (2023)
- Páginas: 240-253
- Seção: Articles
- URL: https://journals.rcsi.science/0032-8235/article/view/138855
- DOI: https://doi.org/10.31857/S0032823523020145
- EDN: https://elibrary.ru/UBHIWW
- ID: 138855
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Resumo
The question of mathematical modeling of the flows of a suspension of solid particles without assumptions about low concentrations is considered. The difference between the velocities of the particles and the binding liquid is taken into account by applying the two-continuum approach, in which the particles and the liquid are treated as two different viscous liquids. The role of buoyancy forces and gravitational mobility on particle settling is investigated. A qualitative comparison is made with the theory of Kinch concentration waves for the case of one-dimensional vertical flows. The role of vortices on the transverse migration of particles during sedimentation in a two-dimensional vessel is noted.
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Sobre autores
V. Shelukhin
Lavrentiev Institute of Hydrodynamics SB RAS
Autor responsável pela correspondência
Email: shelukhin@hydro.nsc.ru
Russia, Novosibirsk
V. Neverov
Lavrentiev Institute of Hydrodynamics SB RAS
Email: shelukhin@hydro.nsc.ru
Russia, Novosibirsk
Bibliografia
- Schwarze R., Gladkyy A., Uhlig F., Luding S. Rheology of weakly wetted granular materials: a comparison of experimental and numerical data // Granular Matter., 2013, vol. 15, pp. 455–465.
- Herminghaus S. Dynamics of wet granular matter // Adv. Phys., 2005, vol. 54, pp. 221–261.
- Hsiau S.S., Liao C.C., Tai C.H., Wan C.Y. The dynamics of wet granular matter under a vertical vibration bed // Granul. Matter., 2013, vol. 15, pp. 437–446.
- Jop P., Forterre Y., Pouliquen O. A constitutive law for dense granular flows // Nature, 2006, vol. 441, pp. 727–730.
- Gabrieli F., Lambert P., Cola S., Calvetti F. Micromechanical modelling of erosion due to evaporation in a partially wet granular slope // Int. J. Numer. Anal. Meth. Geomech., 2012, vol. 36, pp. 918–943.
- Pietsch W. Agglomeration Processes. Weinheim: Wiley, 2002.
- Guo Y., Wu C.Y., Thornton C. The effects of air and particle density difference on segregation of powder mixtures during die filling // Chem. Eng. Sci., 2011, vol. 66, pp. 661–673.
- Beeley P.R. Foundry Technology. Oxford: Elsevier, 2001.
- Schwarze R., Rudert A., Tilch W., Bast J. Rheological behavior of sand-binder mixtures measured by a coaxial cylinder rheometer // I. Foundry Res., 2008, vol. 60, no. 3, pp. 2–6.
- Anderson T., Jackson R. Fluid mechanical description of fluidized beds. Equations of motion // Ind. Eng. Chem. Fundamen., 1967, vol. 6, pp. 527–539.
- Buyevich Y., Shchelchkova I. Flow of dense suspensions // Prog. Aerosp. Sci., 1978, vol. 18, pp. 121–150.
- Zhang D., Prosperetti A. Momentum and energy equations for disperse two-phase flows and their closure for dilute suspensions // Int. J. Multiphase Flow., 1997, vol. 23, pp. 425–453.
- Miller R., Singh J., Morris J. Suspensions flow modeling for general geometries // Chem. Eng. Sci., 2009, vol. 64, pp. 4597–4610.
- Crowe C., Schwarzkopf J., Sommerfield M., Tsuji Y. Multiphase Flows with Droplets and Particles. Boca Raton: CRC Press, 2011.
- Dontsov E.V., Peirce A.P. Slurry flow, gravitational settling and a proppant transport model for hydraulic fracture // J. Fluid Mech., 2014, vol. 760, pp. 567–590.
- Nevskii Yu. A., Osiptsov A.N. Slow gravitational convection of disperse systems in domain with inclined boundaries // Fluid Dyn., 2011, vol. 46, no. 2, pp. 225–239.
- Landau L.D., Lifshitz E.M. Fluid Mechanics. Oxford: Pergamon, 1989.
- Shelukhin V.V., Neverov V.V. Dense suspension flows: a mathematical model consistent with thermodynamics // J. Fluids Eng. ASME, 2022, vol. 144, iss. 021402, pp. 1–13.
- Kynch G.F. A theory of sedimentation // Trans. Faraday Soc., 1952, vol. 48, pp. 166–176.
- Bustos M.C., Concha F., Bürger R., Tory E.M. Sedimentation and Thickening Phenomenological Foundation and Mathematical Theory. Dordrecht: Springer, 1999.
- Shelukhin V.V. Thermodynamics of two-phase granular fluids // J. Non-Newton. Fluid Mech., 2018, vol. 262, pp. 25–37.
- Krieger I.M., Dougerty T. A mechanism for non-Newtonian flow in suspensions of rigid spheres // Trans. Soc. Rheol., 1959, vol. 3, pp. 137–152.
- Ishii V., Mishima K. Two-fluid model and hydrodynamic constitutive relations // Nucl. Eng.&Des., 1984, vol. 82, pp. 107–126.
- Baumgarten A.S., Kamrin K. A general fluid-sediment mixture model and constitutive theory validated in many flow regimes // J. Fluid Mech., 2018, vol. 861, pp. 721–764.
- Acrivos A., Herbolzheimer E. Enhanced sedimentation in settling tanks with inclined walls // J. Fluid Mech., 1979, vol. 92, pp. 435–457.
- Richardson J.F., Zaki W.N. The sedimentation of a suspension of uniform spheres under conditions of viscous flow // Chem. Eng. Sci., 1954, vol. 3, pp. 65–73.
- Shelukhin V.V. Quasistationary sedimentation with adsorption // J. Appl. Mech. Tech. Phys., 2005, vol. 46, iss. 4, pp. 513–522.
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