Steady Flow over an Obstacle
Publication: Journal of Hydraulic Engineering
Volume 113, Issue 8
Abstract
A classification scheme for the regimes of steady flow over a fixed two‐dimensional obstacle is developed and tested experimentally. The results are compared with those derived from towing tank experiments. The two approaches differ, since the towing tank experiments do not always reach steady state. However, both approaches predict that two stable states may exist for the same external conditions. The existence of a hysteresis loop is demonstrated experimentally, but its extent is not as large as predicted. This discrepancy occurs because the theory implicitly assumes that the obstacle and any hydraulic jumps in the flow are of negligible length.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Baines, P. G. (1984). “A unified description of two‐layer flow over topography.” J. Fluid Mech., 146, 127–167.
2.
Baines, P. G., and Davies, P. A. (1980). “Laboratory studies in topographic effects in rotating and/or stratified fluids,” Orographic Effects in Planetary Flows, GARP Pub. No. 23, World Met. Org., 233–299.
3.
Beyer, W. H. (1984). CRC Standard Mathematical Tables, CRC Press, Boca Raton, Fla.
4.
Henderson, F. M. (1966). Open Channel Flow, Macmillan, New York, N.Y.
5.
Houghton, D. D., and Kasahara, A. (1968). “Nonlinear shallow fluid flow over an isolated ridge,” Comm. Pure Appl. Math., 21, 1–23.
6.
Huppert, H. E. (1980). “Topographic effects in stratified fluids.” Fjord Oceanography, H. J. Freeland, D. M. Farmer, and C. D. Levings, Eds., Plenum Press, New York, N.Y., 117–140.
7.
Long, R. R. (1954). “Some aspects of the flow of stratified fluids II, Experiments with a two‐fluid system.” Tellus, 6, 97–115.
8.
Long, R. R. (1970). “Blocking effects in flow over obstacles.” Tellus, 22, 471–480.
9.
Mehrotra, S. C. (1974). “‘Hysteresis’ effect in one‐ and two‐fluid systems.” Proc. of the Fifth Australian Conference on Hydraulics and Fluid Mechanics, 452–461.
10.
Pratt, L. J. (1983). “A note on nonlinear flow over obstacles.” J. Geophys. and Astrophy. Fluid Dynamics, 24, 69–77.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 113 • Issue 8 • August 1987
Pages: 981 - 991
Copyright
Copyright © 1987 ASCE.
History
Published online: Aug 1, 1987
Published in print: Aug 1987
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.