Skip to main content
Erschienen in: Fluid Dynamics 7/2023

01.12.2023

Sedimentation Waves in a Two-Phase Granular Liquid

verfasst von: V. V. Shelukhin, V. V. Neverov

Erschienen in: Fluid Dynamics | Ausgabe 7/2023

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

In this paper, we consider the issue of the mathematical modeling of flows of a suspension of solid particles with no assumptions about low concentrations. The difference in velocities between the particles and the binding liquid is taken into account by applying a two-continuum approach, in which the particles and the fluid are treated as two different viscous fluids. The role of the forces of buoyancy and gravity mobility on particle settling is studied. A qualitative comparison with the theory of Kynch’s concentration waves for the case of one-dimensional vertical flows is made. The role of vortices on the transverse migration of particles during sedimentation in a two-dimensional vessel is noted.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Schwarze, R., Gladkyy, A., Uhlig, F., and Luding, S., Rheology of weakly wetted granular materials: a comparison of experimental and numerical data, Granular Matter, 2013, vol. 15, pp. 455–465.CrossRef Schwarze, R., Gladkyy, A., Uhlig, F., and Luding, S., Rheology of weakly wetted granular materials: a comparison of experimental and numerical data, Granular Matter, 2013, vol. 15, pp. 455–465.CrossRef
2.
Zurück zum Zitat Herminghaus, S., Dynamics of wet granular matter, Adv. Phys., 2005, vol. 54, pp. 221–261.ADSCrossRef Herminghaus, S., Dynamics of wet granular matter, Adv. Phys., 2005, vol. 54, pp. 221–261.ADSCrossRef
3.
Zurück zum Zitat Hsiau, S.S., Liao, C.C., Tai, C.H., and Wan, C.Y., The dynamics of wet granular matter under a vertical vibration bed, Granular Matter, 2013, vol. 15, pp. 437–446.CrossRef Hsiau, S.S., Liao, C.C., Tai, C.H., and Wan, C.Y., The dynamics of wet granular matter under a vertical vibration bed, Granular Matter, 2013, vol. 15, pp. 437–446.CrossRef
4.
Zurück zum Zitat Jop, P., Forterre, Y., and Pouliquen, O., A constitutive law for dense granular flows, Nature, 2006, vol. 441, pp. 727–730.ADSCrossRef Jop, P., Forterre, Y., and Pouliquen, O., A constitutive law for dense granular flows, Nature, 2006, vol. 441, pp. 727–730.ADSCrossRef
5.
Zurück zum Zitat Gabrieli, F., Lambert, P., Cola, S., and Calvetti, F., Micromechanical modelling of erosion due to evaporation in a partially wet granular slope, Int. J. Num. Anal. Meth. Geomech., 2012, vol. 36, pp. 918–943.CrossRef Gabrieli, F., Lambert, P., Cola, S., and Calvetti, F., Micromechanical modelling of erosion due to evaporation in a partially wet granular slope, Int. J. Num. Anal. Meth. Geomech., 2012, vol. 36, pp. 918–943.CrossRef
6.
Zurück zum Zitat Pietsch, W., Agglomeration Processes, Weinheim: Wiley, 2002. Pietsch, W., Agglomeration Processes, Weinheim: Wiley, 2002.
7.
Zurück zum Zitat Guo, Y., Wu, C.Y., and 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.CrossRef Guo, Y., Wu, C.Y., and 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.CrossRef
8.
Zurück zum Zitat Beeley, P.R., Foundry Technology, Oxford: Elsevier, 2001. Beeley, P.R., Foundry Technology, Oxford: Elsevier, 2001.
9.
Zurück zum Zitat Schwarze, R., Rudert, A., Tilch, W., and 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. Schwarze, R., Rudert, A., Tilch, W., and 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.
10.
Zurück zum Zitat Anderson, T. and Jackson, R., Fluid mechanical description of fluidized beds. equations of motion, Ind. Eng. Chem. Fundam., 1967, vol. 6, pp. 527–539.CrossRef Anderson, T. and Jackson, R., Fluid mechanical description of fluidized beds. equations of motion, Ind. Eng. Chem. Fundam., 1967, vol. 6, pp. 527–539.CrossRef
11.
Zurück zum Zitat Buyevich, Y. and Shchelchkova, I., Flow of dense suspensions, Prog. Aerosp. Sci., 1978, vol. 18, pp. 121–150.CrossRef Buyevich, Y. and Shchelchkova, I., Flow of dense suspensions, Prog. Aerosp. Sci., 1978, vol. 18, pp. 121–150.CrossRef
12.
Zurück zum Zitat Zhang, D. and 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.CrossRef Zhang, D. and 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.CrossRef
13.
Zurück zum Zitat Miller, R., Singh, J., and Morris, J., Suspensions flow modeling for general geometries, Chem. Eng. Sci., 2009, vol. 64, pp. 4597–4610.CrossRef Miller, R., Singh, J., and Morris, J., Suspensions flow modeling for general geometries, Chem. Eng. Sci., 2009, vol. 64, pp. 4597–4610.CrossRef
14.
Zurück zum Zitat Crowe, C., Schwarzkopf, J., Sommerfield, M., and Tsuji, Y., Multiphase Flows With Droplets and Particles, Boca Raton: CRC Press, 2011.CrossRef Crowe, C., Schwarzkopf, J., Sommerfield, M., and Tsuji, Y., Multiphase Flows With Droplets and Particles, Boca Raton: CRC Press, 2011.CrossRef
15.
Zurück zum Zitat Dontsov, E.V. and Peirce, A.P., Slurry flow, gravitational settling and a proppant transport model for hydraulic fracture, J. Fluid Mech., 2014, vol. 760, pp. 567–590.ADSMathSciNetCrossRef Dontsov, E.V. and Peirce, A.P., Slurry flow, gravitational settling and a proppant transport model for hydraulic fracture, J. Fluid Mech., 2014, vol. 760, pp. 567–590.ADSMathSciNetCrossRef
16.
Zurück zum Zitat Nevskii, Yu.A. and Osiptsov, A.N., Slow gravitational convection of disperse systems in domain with inclined boundaries, Fluid Dyn., 2011, vol. 46, no. 2, pp. 225–239.ADSMathSciNetCrossRef Nevskii, Yu.A. and Osiptsov, A.N., Slow gravitational convection of disperse systems in domain with inclined boundaries, Fluid Dyn., 2011, vol. 46, no. 2, pp. 225–239.ADSMathSciNetCrossRef
17.
Zurück zum Zitat Landau, L.D. and Lifshitz, E.M., Course of Theoretical Physics, vol. 6: Fluid Mechanics, Oxford: Pergamon, 1987. Landau, L.D. and Lifshitz, E.M., Course of Theoretical Physics, vol. 6: Fluid Mechanics, Oxford: Pergamon, 1987.
18.
Zurück zum Zitat Shelukhin, V.V. and Neverov, V.V., Dense suspension flows: a mathematical model consistent with thermodynamics, J. Fluids Eng. ASME, 2022, vol. 144, no. 021402, pp. 1–13.CrossRef Shelukhin, V.V. and Neverov, V.V., Dense suspension flows: a mathematical model consistent with thermodynamics, J. Fluids Eng. ASME, 2022, vol. 144, no. 021402, pp. 1–13.CrossRef
19.
Zurück zum Zitat Kynch, G.F., A theory of sedimentation, Trans. Faraday Soc., 1952, vol. 48, pp. 166–176.CrossRef Kynch, G.F., A theory of sedimentation, Trans. Faraday Soc., 1952, vol. 48, pp. 166–176.CrossRef
20.
Zurück zum Zitat Bustos, M.C., Concha, F., Burger, R., and Tory, E.M., Sedimentation and Thickening Phenomenological Foundation and Mathematical Theory, Dordrecht: Springer, 1999.CrossRef Bustos, M.C., Concha, F., Burger, R., and Tory, E.M., Sedimentation and Thickening Phenomenological Foundation and Mathematical Theory, Dordrecht: Springer, 1999.CrossRef
21.
Zurück zum Zitat Shelukhin, V.V., Thermodynamics of two-phase granular fluids, J. Non-Newtonian Fluid Mech., 2018, vol. 262, pp. 25–37.MathSciNetCrossRef Shelukhin, V.V., Thermodynamics of two-phase granular fluids, J. Non-Newtonian Fluid Mech., 2018, vol. 262, pp. 25–37.MathSciNetCrossRef
22.
Zurück zum Zitat Krieger, I.M. and Dougerty, T., A mechanism for non-newtonian flow in suspensions of rigid spheres, Trans. Soc. Rheol., 1959, vol. 3, pp. 137–152.CrossRef Krieger, I.M. and Dougerty, T., A mechanism for non-newtonian flow in suspensions of rigid spheres, Trans. Soc. Rheol., 1959, vol. 3, pp. 137–152.CrossRef
23.
Zurück zum Zitat Ishii, V. and Mishima, K., Two-fluid model and hydrodynamic constitutive relations, Nucl. Eng. Des., 1984, vol. 82, pp. 107–126.CrossRef Ishii, V. and Mishima, K., Two-fluid model and hydrodynamic constitutive relations, Nucl. Eng. Des., 1984, vol. 82, pp. 107–126.CrossRef
24.
Zurück zum Zitat Baumgarten, A.S. and 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.ADSMathSciNetCrossRef Baumgarten, A.S. and 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.ADSMathSciNetCrossRef
25.
Zurück zum Zitat Acrivos, A. and Herbolzheimer, E., Enhanced sedimentation in settling tanks with inclined walls, J. Fluid Mech., 1979, vol. 92, pp. 435–457.ADSCrossRef Acrivos, A. and Herbolzheimer, E., Enhanced sedimentation in settling tanks with inclined walls, J. Fluid Mech., 1979, vol. 92, pp. 435–457.ADSCrossRef
26.
Zurück zum Zitat Richardson, J.F. and 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.CrossRef Richardson, J.F. and 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.CrossRef
27.
Zurück zum Zitat Shelukhin, V.V., Quasistationary sedimentation with adsorption, J. Appl. Mech. Tech. Phys., 2005, vol. 46, no. 4, pp. 513–522.ADSMathSciNetCrossRef Shelukhin, V.V., Quasistationary sedimentation with adsorption, J. Appl. Mech. Tech. Phys., 2005, vol. 46, no. 4, pp. 513–522.ADSMathSciNetCrossRef
Metadaten
Titel
Sedimentation Waves in a Two-Phase Granular Liquid
verfasst von
V. V. Shelukhin
V. V. Neverov
Publikationsdatum
01.12.2023
Verlag
Pleiades Publishing
Erschienen in
Fluid Dynamics / Ausgabe 7/2023
Print ISSN: 0015-4628
Elektronische ISSN: 1573-8507
DOI
https://doi.org/10.1134/S0015462823602206

Weitere Artikel der Ausgabe 7/2023

Fluid Dynamics 7/2023 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.