Modeling Transverse Mixing Layer in Shallow Open-Channel Flows
Publication: Journal of Hydraulic Engineering
Volume 124, Issue 7
Abstract
Numerical computations are conducted of the flow across a turbulent mixing layer in an open channel of small depth using three turbulence models: a single-length-scale model, a modified single-length-scale model, and a two-length-scale model. The performance of these turbulence models is evaluated by comparing the numerical results with the available experimental data. The single-length-scale turbulence model is shown to be biased toward the small-scale turbulence. The coefficients of this single-length-scale turbulence model have been modified in an attempt to improve the performance of the model. The results of the modified single-length-scale model are in agreement with the laboratory data but not with the field data. The two-length-scale turbulence model, by treating the small-scale and the large-scale turbulence as separate components, has produced results in better agreement with the experimental data than those obtained by the single-length-scale model treating both components together as a whole.
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References
1.
Babarutsi, S. (1991). “Modelling quasi-two-dimensional turbulent shear flow,” PhD thesis, Dept. of Civ. Engrg., McGill University, Montreal, Canada.
2.
Babarutsi, S., and Chu, V. H. (1991). “A two-length-scale model for quasi-two-dimensional turbulent shear flows.”Proc., 24th Congr. of IAHR, Vol. C, International Association for Hydraulic Research, Delft, The Netherlands, 51–60.
3.
Babarutsi, S., and Chu, V. H. (1993). “Reynolds-stress model for quasi-two-dimensional turbulent shear flow.”Engineering turbulence modelling and experiments 2, W. Rodi and F. Martelli, eds., Elsevier Science Publishers, Oxford, U.K., 93–102.
4.
Booij, R. (1989). “Depth-averaged k-ε modelling.”Proc., 23rd IAHR Congr., Vol. A, International Association for Hydraulic Research, Delft, The Netherlands, 198–206.
5.
Brown, G. L., and Roshko, A.(1974). “On density effect and large structure in turbulent mixing layer.”J. Fluid Mech., Cambridge, U.K., 64, 771–781.
6.
Champagne, F. H., Pao, Y. H., and Wygnanski, I. J.(1976). “On the two-dimensional mixing region.”J. Fluid Mech., Cambridge, U.K., 74, 209–250.
7.
Chu, V. H., and Babarutsi, S.(1988). “Confinement and bed-friction effects in shallow turbulent mixing layers.”J. Hydr. Engrg., ASCE, 114(10), 1257–1274.
8.
Chu, V. H., and Babarutsi, S. (1989). “Modelling of the turbulent mixing layers in shallow open channel flows.”Proc., 23rd IAHR Congr., Vol. A, International Association for Hydraulic Research, Delft, The Netherlands, 191–198.
9.
Chu, V. H., and Baddour, R. E.(1984). “Turbulent gravity-stratified shear flow.”J. Fluid Mech., Cambridge, U.K., 138, 353–378.
10.
Chu, V. H., and Lee, J. H.-W. (1994). Turbulent shear flow. Lecture Notes of C.P.D. Short Course, University of Hong Kong, Hong Kong.
11.
Chu, V. H., Wu, J.-H., and Khayat, R. E. (1983). “Stability of turbulent shear flow in shallow channel.”Proc., 20th Congr. of IAHR, Vol. 3, International Association for Hydraulic Research, Delft, The Netherlands, 128–133.
12.
Chu, V. H., Wu, J.-H., and Khayat, R. E.(1991). “Stability of transverse shear flows in shallow open channels.”J. Hydr. Engrg., ASCE, 117(10), 1370–1388.
13.
Fischer, H. B., et al. (1979). Mixing in inland and coastal waters. Chapter 5, Academic Press, Inc., San Diego, Calif., 104–147.
14.
Hossain, W. S. (1980). “Mathematische Modellierung von turbulenten Auftriebsströmungen,” PhD thesis, University of Karlsruhe, West Germany.
15.
Madsen, P., Rugbjerg, M., and Warren, I. R. (1988). “Subgrid modeling in depth integrated flows.”21st Int. Conf. on Coast. Engrg., ASCE, 505–511.
16.
Nadaoka, K., and Yagi, H. (1993). “Horizontal large-eddy computation of river flow transverse shear by SDS&2DH model.”J. Hydr., Coast. and Envir. Engrg., Tokyo, Japan, No. 473, 35–44 (in Japanese).
17.
Nokes, R. I., and Wood, I. R.(1988). “Vertical and lateral dispersion: Some experimental results.”J. Fluid Mech., Cambridge, U.K., 187, 373–394.
18.
Patankar, S. V., and Spalding, D. B. (1970). Heat and mass transfer in boundary layers. Intertext Publishers, London, U.K.
19.
Rastogi, A. K., and Rodi, W.(1978). “Predictions of heat and mass transfer in open channels.”J. Hydr. Engrg., ASCE, 104(3), 397–420.
20.
Rodi, W. (1979). Turbulent models and their application in hydraulics—a state of the art review. IAHR Publications, Delft, The Netherlands.
21.
Rodi, W. (1985). “Calculation of stably stratified shear-layer flows with a buoyancy-extended k-ε turbulence model.”Turbulence and diffusion in stable environments, J. C. R. Hunt, ed., Clarendon Press, Oxford, U.K.
22.
Rodi, W. (1987). “Examples of calculation methods for flow and mixing in stratified fluids.”J. Geophy. Res. Oceans, 92(C5), 5305–5328.
23.
Viollet, P. L. (1988). “On the numerical modelling of stratified flows.”Physical process in estuaries, Dronkers and van Leussen, eds., Springer-Verlag KG, Berlin, Germany.
24.
Yotsukura, N., and Sayre, W. W.(1976). “Transverse mixing in natural stream.”Water Resour. Res., 12, 695–704.
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Published In
Journal of Hydraulic Engineering
Volume 124 • Issue 7 • July 1998
Pages: 718 - 727
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Jul 1, 1998
Published in print: Jul 1998
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