Kinetic Theory for Particle Concentration Distribution in Two‐Phase Flow
Publication: Journal of Engineering Mechanics
Volume 116, Issue 12
Abstract
The results of experiments in open channels and closed pipelines show two kinds of patterns for the vertical distribution of particle concentration (i.e., pattern I and pattern II). The former shows a pattern of maximum concentration at some location above the bottom and the downward decay of the concentration below the location. The latter always shows an increase of the particle concentration downward over the whole vertical, with the maximum value at the bottom. Many investigations were made on the pattern II, but few were made on pattern I. In this paper, a particle velocity distribution function is first obtained in the equilibrium state or in dilute steady state for the particle in two‐phase flows, then a theoretical model for the particle concentration distribution is derived from the kinetic theory. More attention is paid to the predictions of the concentration distribution of pattern I and comparisons of the present model are made with the data measured by means of laser doppler anemometry (LDA). Very good agreements are obtained between the measured and calculated results.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bouvard, M., and Petkovic, S. (1985). “Vertical dispersion of spherical, heavy particles in turbulent open channel flow.” J. Hydr. Res., 23, 5–19.
2.
Chapman, S., and Cowling, T. G. (1970). The mathematical theory of non‐uniform gases. Third Ed. Cambridge University Press, Cambridge, England.
3.
Dai, J. L. (1985). “Two‐phase pipe flow with a bottom layer of bed‐load,” thesis presented to Tsinghua University, at Beijing, China, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
4.
Graf, W. H. (1971). Hydraulics of sediment transport, McGraw‐Hill Book Company, New York, N.Y., 172.
5.
Michalik, M. A. (1973). “Density patterns of the inhomogeneous liquid in the industrial pipe‐lines measured by means of radiometric scanning.” La Houille Blanche, 1, 53–57.
6.
Ni, J. R., and Hui, Y. J. (1988). “Theories of vertical concentration distribution of suspended sediment and their relationships.” J. Nanjing Hydr. Inst., 1, 83–97 (in Chinese).
7.
Ni, J. R. (1989). “A generalized formula on the vertical distribution of suspended sediment concentration.” Proc. of the Fourth Int. Symp. on River Sedimentation, Beijing, China, 1, 603–610.
8.
Ni, J. R., and Wang, G. Q. (1987). “On the two patterns of vertical distribution of sediment concentration and their formation cause.” J. Hydr. Engrg., 7, 60–68 (in Chinese).
9.
Owen, P. R. (1969). “Pneumatic transport.” J. Fluid Mech., 39, 407–432.
10.
Wang, G. Q. (1989). “The kinetic theory with experimental studies for the solid/liquid two‐phase flow and granular flow,” thesis presented to the Tsinghua University, at Beijing, China, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Information & Authors
Information
Published In
Copyright
Copyright © 1990 ASCE.
History
Published online: Dec 1, 1990
Published in print: Dec 1990
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.