Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-06T04:25:37.711Z Has data issue: false hasContentIssue false

Settling behaviour of heavy and buoyant particles from a suspension in an inclined channel

Published online by Cambridge University Press:  21 April 2006

David Hin-Sum Law
Affiliation:
Alberta Research Council, Energy Resources Division. Oil Sands Research Department, Edmonton, Alberta, Canada
Robert S. Mactaggart
Affiliation:
Department of Chemical Engineering, University of Alberta, Edmonton, Alberta, T6G 2G6, Canada
K. Nandakumar
Affiliation:
Department of Chemical Engineering, University of Alberta, Edmonton, Alberta, T6G 2G6, Canada
Jacob H. Masliyah
Affiliation:
Department of Chemical Engineering, University of Alberta, Edmonton, Alberta, T6G 2G6, Canada

Abstract

Settling characteristics of bidisperse suspensions containing light and heavy particles in inclined channels have been studied both experimentally and theoretically. The suspension is relatively dilute with a total volume fraction of no more than 0.16. In this dilute range the flow-visualization experiments indicate the formation of distinct zones with clear interfaces between them. There is no evidence of lateral segregation of particles. The convection currents formed near an inclined boundary are transferred to different zones depending on the relative concentration of the two species. Based on the flow-visualization experiments, the well known Ponder-Nakamura-Kuroda (PNK) model has been adopted to predict the settling characteristics of bidisperse suspensions.

Type
Research Article
Copyright
© 1988 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Acrivos, A. & Herbolzheimer, E. 1979 Enhanced sedimentation in settling tanks with inclined walls. J. Fluid Mech. 92, 435457.Google Scholar
Batchelor, G. K. & Van Rensburg, R. W. Janse 1986 Structure formation in bidisperse sedimentation. J. Fluid Mech. 166, 379407.Google Scholar
Batchelor, G. K. & Wen, C.-S. 1982 Sedimentation in a dilute polydisperse system of interacting spheres. Part 2. Numerical results. J. Fluid Mech. 124, 495528.Google Scholar
Boycott, A. E. 1920 Sedimentation of blood corpuscles. Nature 104, 532.Google Scholar
Cox, R. G. 1987 Sedimentation in bi-disperse suspensions. In Proc. 11th Canadian Congress of Applied Mechanics. May 31-June 4, 1987, Edmonton, Canada.
Davis, R. H. & Acrivos, A. 1985 Sedimentation of noncolloidal particles at low Reynolds numbers. Ann. Rev. Fluid Mech. 17, 91118.Google Scholar
Davis, R. H., Herbolzheimer, E. & Acrivos, A. 1982 The sedimentation of polydisperse suspensions in vessels having inclined walls. Intl J. Multiphase Flow 8, 571585.Google Scholar
Fessas, Y. P. & Weiland, R. H. 1981 Convective solids settling induced by a buoyant phase. AIChE J., 27, 588592.Google Scholar
Fessas, Y. P. & Weiland, R. H. 1982 Convective solids settling induced by a buoyant phase – a new method for the acceleration of thickening. Resources and Conservation 9, 8793.Google Scholar
Fessas, Y. P. & Weiland, R. H. 1984 The settling of suspensions promoted by rigid buoyant particles. Intl J. Multiphase Flow 10, 485507.Google Scholar
Graham, W. & Lama, R. 1963 Sedimentation in inclined vessels. Can. J. Chem. Engng 41, 3132.Google Scholar
Greenspan, H. P. & Ungarish, M. 1982 On hindered settling of particles of different sizes. Intl J. Multiphase Flow 8, 587604.Google Scholar
Herbolzheimer, E. 1983 Stability of the flow during sedimentation in inclined channels. Phys. Fluids 26, 20432054.Google Scholar
Herbolzheimer, E. & Acrivos, A. 1981 Enhanced sedimentation in narrow tilted channels. J. Fluid Mech. 108, 485499.Google Scholar
Hill, W. D., Rothfus, R. R. & Li, K. 1977 Boundary-enhanced sedimentation due to settling convection. Intl J. Multiphase Flow 3, 561583.Google Scholar
Kinosita, K. 1949 Sedimentation in tilted vessels. J. Colloid Interface Sci. 4, 525536.Google Scholar
Law, H.-S., Masliyah, J. H., MacTaggart, R. S. & Nandakumar, K. 1987 Settling of bidisperse suspension: light and heavy particles. Chem. Engng Sci. 42, 15271538.Google Scholar
Lockett, M. J. & Al-Habbooby, H. M. 1973 Differential settling by size of two particle species in a liquid. Trans. Inst. Chem. Engrs 51, 281292.Google Scholar
Lockett, M. J. & Al-Habbooby, H. M. 1974 Relative particle velocities in two-species settling. Powder Technol. 10, 6771.Google Scholar
Lockett, M. J. & Bassoon, K. S. 1979 Sedimentation of binary particle mixtures. Powder Technol. 24, 17.Google Scholar
Masliyah, J. H. 1979 Hindered settling in a multi-species particle system. Chem. Engng Sci. 34 11661168.Google Scholar
Mirza, S. & Richardson, J. F. 1979 Sedimentation of suspensions of particles of two or more sizes. Chem. Engng Sci. 34, 447454.Google Scholar
Nakamura, H. & Kuroda, K. 1937 La cause de l'acceleration de la vitesse de sedimentation des suspensions dans les recipients inclines. Keijo J. Med. 8, 256296.Google Scholar
Oliver, D. R. & Jenson, V. G. 1964 The inclined settling of dispersed suspensions of spherical particles in square-section tubes. Can. J. Chem. Engng 42, 191195.Google Scholar
Patwardhan, V. S. & Tien, C. 1985 Sedimentation and liquid fluidization of solid particles of different sizes and densities. Chem. Engng Sci. 40, 1051.Google Scholar
Pearce, K. W. 1962 Settling in the presence of downward facing surfaces. Proc. 3rd. Congr. Eur. Fed. Chem. Engng. pp. 3039.
Ponder, P. 1925 On sedimentation and rouleaux formation. Q. J. Exp. Physiol. 15, 235252.Google Scholar
Richardson, J. F. & Meikle, R. A. 1961 Sedimentation and fluidization part III. Trans. Inst. Chem. Engrs 39, 348356.Google Scholar
Schaflinger, U. 1985a Experiments on sedimentation beneath downward-facing inclined walls. Intl J. Multiphase Flow 11, 189199.Google Scholar
Schaflinger, U. 1985b Influence of nonuniform particle size on settling beneath downward facing walls. Intl J. Multiphase Flow 11, 783796.Google Scholar
Schneider, W. 1982 Kinematic-wave theory of sedimentation beneath inclined walls. J. Fluid Mech. 120, 323346.Google Scholar
Selim, M. S., Kothari, A. C. & Turian, R. M. 1983 Sedimentation of multisized particles in concentrated suspensions. AIChE J. 29, 10291038.Google Scholar
Shannon, P. T., Dehaas, R. D., Stroupe, E. P. & Troy, E. M. 1964 Batch and continuous thickening. Prediction of batch settling behaviour from initial rate data with results for rigid spheres. Indust. Engng Chem. Fund. 3, 250260.Google Scholar
Shannon, P. T., Stroupe, E. & Tory, E. M. 1963 Batch and continuous thickening. Basic theory. Solids flux for rigid spheres. Indust. Engng Chem. Fund 2, 203211.Google Scholar
Smith, T. N. 1966 The sedimentation of particles having a dispersion of sizes. Trans. Inst. Chem. Engrs 44, T153157.Google Scholar
Vohra, D. K. & Ghosh, B. 1971 Studies of sedimentation in inclined tubes. Indust. Engng Chem. 13, 3240.Google Scholar
Weiland, R. H., Fessas, Y. P. & Ramarao, B. V. 1984 On instabilities arising during sedimentation of two-component mixtures of solids. J. Fluid Mech. 142, 383389.Google Scholar
Weiland, R. H. & McPherson, R. R. 1979 Accelerated Settling by Addition of Buoyant Particles. Indust. Engng Chem. Fund 18, 4549.Google Scholar
Whitmore, R. L. 1955 The sedimentation of suspensions of spheres. Brit. J. Appl. Phys. 6, 239245.Google Scholar
Zahavi, E. & Rubin, E. 1975 Settling of solid suspensions under and between inclined surfaces. Indust. Eng. Chem. Process Des. Develop. 14, 3440.Google Scholar