Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-26T07:22:19.090Z Has data issue: false hasContentIssue false
  • English
  • Français

Sediment transport during unsteady settling in an inclined channel

Published online by Cambridge University Press:  21 April 2006

Gustav Amberg  and
Anders A. Dahlkild
Gustav Amberg
Affiliation:
Department of Hydromechanics, The Royal Institute of Technology, S-100 44 Stockholm, Sweden
Anders A. Dahlkild
Affiliation:
Department of Hydromechanics, The Royal Institute of Technology, S-100 44 Stockholm, Sweden
Get access Rights & Permissions [Opens in a new window]

Abstract

Settling of a dilute, monodisperse suspension between two inclined, narrowly spaced parallel plates is considered. Effects of sediment motion are accounted for. Lubrication theory and a simplified model for the particle motion lead to a system of two coupled nonlinear hyperbolic equations for the evolution of the two interfaces between clear fluid, suspension and sediment. Two problems are solved: batch settling and the filling of a channel that initially contains clear fluid. In the batch-settling case, the sediment has no major qualitative effect on the motion. In the filling problem, however, effects of sediment are important.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 185 , December 1987 , pp. 415 - 436
Copyright
© 1987 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, H. 1979 J. Fluid. Mech. 92, 435.
Amberg, G., Dahlkild, A. A., Bark, F. H. & Henningson, D. S. 1986 J. Fluid. Mech. 166, 473.
Batchelor, G. K. 1967 An Introduction to Fluid Mechanics. Cambridge University Press.
Boycott, A. E. 1920 Nature 104, 532.
Chen, J.-D., Hahn, P. S. & Slattery, J. C. 1984 AIChE J. 30, 622.
Davis, R. H. & Acrivos, A. 1985 Ann. Rev. Fluid Mech. 17, 91.
Davis, R. H., Herbolzheimer, E. & Acrivos, A. 1982 Intl J. Multiphase Flow 8, 571.
Engquist, B. & Osher, S. 1981 Maths Comp. 36, 125.
Greenspan, H. P. & Ungarish, M. 1982 Intl J. Multiphase Flow 10, 587.
Hartland, S. & Vohra, D. K. 1980 J. Colloid Interface Sci. 77, 295.
Herbolzheimer, E. & Acrivos, A. 1981 J. Fluid Mech. 108, 485.
Ishii, M. & Chawla, T. C. 1979 Argonne Natl Lab. Rep. ANL-79–105.
Kynch, G. J. 1952 Trans. Faraday Soc. 48, 166.
Leung, W.-F. & Probstein, R. F. 1983 I & EC Process Design & Develop. 22, 58.
Liem, A. J. S. & Woods, D. R. 1974 Can. J. Chem. Engng 52, 222.
Probstein, R. F. & Hicks, R. E. 1978 Ind. Water Engng jan/feb.
Probstein, R. F., Yung, D. & Hicks, R. E. 1977 Paper presented at Theory, Practice and Process Principles for Physical Separation, Engng Foundation Conf., Asilomar, CA.
Ramamoorty, P. & Treybal, R. E. 1978 AIChE J. 24, 985.
Roe, P. L. 1981 J. Comp. Phys. 43, 357.
Richardson, J. F. & Zaki, W. N. 1954 Trans. Instn Chem. Engrs 32, 35.
Rubinstein, R. 1980 Intl J. Multiphase Flow, 6, 473.
Schneider, W. 1982 J. Fluid Mech. 120, 323.