Compound Open-Channel Flow Modeling with Nonlinear Low-Reynolds k-ε Models
Publication: Journal of Hydraulic Engineering
Volume 124, Issue 3
Abstract
Turbulent flow in compound open channels is studied numerically with nonlinear k-ε turbulence models of low-Reynolds type. Emphasis is given to the flow characteristics and the performance of the models for conditions of low relative depths (up to 0.2547) for which the interaction between main channel and flood plain flow is significant. Experiments and computations indicate that the velocities follow the law of the wall in the interaction region even for such low relative depths. Secondary currents are predicted by a modified version of a previous model; however, the predicted currents are not as strong as the experimental ones. Turbulent shear stresses and especially which is significant for low relative depths, are predicted reasonably by the model, except in the interaction region in the main channel. The turbulent intensities v′ and w′ are captured by the model while u′ is underestimated. A depth-averaged analysis identifies two basic mechanisms that influence the variation of the bed shear stress and suggests a means of assessing the contribution of each mechanism to the deviation of the bed shear stress from its respective two-dimensional value.
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References
1.
Celik, I., and Rodi, W.(1984). “Simulation of free-surface effects in turbulent channel flows.”PCH PhysicoChemical Hydrodynamics, 5(3/4), 217–227.
2.
Cokljat, D., and Younis, B. A.(1995). “Second-order closure study of open-channel flows.”J. Hydr. Engrg., ASCE, 121(2), 94–107.
3.
Craft, T. J., Suga, K., and Launder, B. E. (1993). “Extending the applicability of eddy viscosity models through the use of deformation invariants and non-linear elements.”Proc., 5th Int. Symp. on Refined Flow Modelling and Turbulence Measurements, International Association for Hydraulic Research, Paris, France, 125–132.
4.
Demuren, A. O., and Rodi, W.(1984). “Calculation of turbulence-driven secondary motion in non-circular ducts.”J. Fluid Mech., Cambridge, U.K., 140, 189–222.
5.
Gibson, M. M., and Rodi, W.(1989). “Simulation of free surface effects on turbulence with a Reynolds stress model.”J. Hydr. Res., Delft, The Netherlands, 27(2), 233–244.
6.
Huang, P. G., and Leschziner, M. A. (1983). “An introduction to the computer code TEAM.”Rep. TFD/83/09, Thermofluids Div., Dept. of Mech. Engrg., University of Manchester Institute of Science and Technology, Manchester, U.K.
7.
Huser, A., and Biringen, S.(1993). “Direct numerical simulation of turbulent flow in a square duct.”J. Fluid Mech., Cambridge, U.K., 257, 65–95.
8.
Knight, D. W., and Demetriou, J. D.(1983). “Flood plain and main channel flow interaction.”J. Hydr. Engrg., ASCE, 109(8), 1073–1092.
9.
Knight, D. W., and Hamed, M. E.(1984). “Boundary shear in symmetrical compound channels.”J. Hydr. Engrg., ASCE, 110(10), 1412–1430.
10.
Launder, B. E., Reece, G. J., and Rodi, W.(1975). “Progress in the development of a Reynolds stress turbulence closure.”J. Fluid Mech., Cambridge, U.K., 68, 537–566.
11.
Lin, B., and Shiono, K.(1995). “Numerical modelling of solute transport in compound channel flows.”J. Hydr. Res., Delft, The Netherlands, 33(6), 773–788.
12.
Myong, H. K., and Kobayashi, T.(1991). “Prediction of three-dimensional developing turbulent flow in a square duct with an anisotropic low-Reynolds-number k-ε model.”J. Fluids Engrg., 113, 608–615.
13.
Naot, D., Nezu, I., and Nakagawa, H.(1993). “Hydrodynamic behavior of compound rectangular open channels.”J. Hydr. Engrg., ASCE, 119(3), 390–408.
14.
Naot, D., and Rodi, W.(1982). “Calculation of secondary currents in channel flow.”J. Hydr. Div., ASCE, 108(8), 948–968.
15.
Nezu, I., and Nakagawa, H. (1993). Turbulence in open-channel flows, IAHR monograph series, A. A. Balkema, Rotterdam, The Netherlands.
16.
Nezu, I., and Rodi, W.(1986). “Open channel flow measurements with a laser Doppler anemometer.”J. Hydr. Engrg., ASCE, 112(5), 335–355.
17.
Pezzinga, G.(1994). “Velocity distribution in compound channel flows by numerical modeling.”J. Hydr. Engrg., ASCE, 120(10), 1176–1197.
18.
Prinos, P., Townsend, R., and Taboularis, S.(1985). “Structure of turbulence in compound channel flow.”J. Hydr. Engrg., ASCE, 111(9), 1246–1261.
19.
Shiono, K., and Knight, D. W.(1991). “Turbulent open-channel flows with variable depth across the channel.”J. Fluid Mech., Cambridge, U.K., 222, 617–646.
20.
Sofialidis, D., and Prinos, P. (1997). “Development of a non-linear, strain-dependent k-ω turbulence model.”Proc., 11th Symp. on Turbulent Shear Flows, Vol. 2, P2, Grenoble, France, 89–94.
21.
Speziale, C. G.(1987). “On nonlinear k-l and k-ε models of turbulence.”J. Fluid Mech., Cambridge, U.K., 178, 459–475.
22.
Suga, K. (1995). “Development and application of a non-linear eddy viscosity model sensitised to stress and strain invariants,” PhD thesis, University of Manchester Institute of Science and Technology, Manchester, U.K.
23.
Tominaga, A., and Nezu, I.(1991). “Turbulent structure in open compound channel flows.”J. Hydr. Engrg., ASCE, 117(1), 21–41.
24.
Tominaga, A., Nezu, I., and Ezaki, K. (1989). “Experimental study on secondary currents in compound open-channel flow.”Proc., XXIII IAHR Congr., Ottawa, Canada, A15–A22.
25.
Wormleaton, P. R., Allen, J., and Hadjipanos, P.(1982). “Discharge assessment in compound channel flow.”J. Hydr. Div., ASCE, 108(9), 975–993.
26.
Yacoub, N., Moalem, M. D., and Naot, D.(1992). “Towards the numerical simulation of the horizontal slug front.”Int. J. Numer. Methods in Fluids, 14, 127–146.
27.
Yuen, K. W. H, and Knight, D. W. (1990). “Critical flow in a two stage channel.”Int. Conf. on River Flood Hydr., Paper G4, Hydraulics Research Limited, John Wiley & Sons, Inc., New York, N.Y., 267.
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Copyright © 1998 American Society of Civil Engineers.
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Published online: Mar 1, 1998
Published in print: Mar 1998
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