Two‐Equation Turbulence Model for Flow in Trenches
Publication: Journal of Hydraulic Engineering
Volume 109, Issue 7
Abstract
Steady recirculating flow is described by means of a mathematical model based on the full unsteady Reynolds equations and the model for turbulence closure. The model is applied to the flow in a steep‐sided trench perpendicular to the main flow direction. Inlet profiles are taken with reference to developed channel flow. For the wall boundary a local equilibrium is assumed, yielding among others a logarithmic behavior for the mean flow velocity. The constants of the model are related to the roughness conditions. A sensitivity study is reported to identify the relative importance of the various constants and inlet conditions. Numerical results are compared with laboratory experiments.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Alfrink, B. J., “The Computation of Turbulent Recirculating Flow using Curvilinear Finite Differences; Application of the Model to the Flow in Dredged Trenches,” Rapport HE/41/81.22, Electricité de France, Chatou, France, Aug., 1981.
2.
Alfrink, B. J., “On the Neumann Problem for the Pressure in a Navier‐Stokes Model,” Proceedings of the International Conference on Numerical Methods in Laminar and Turbulent Flow, C. Taylor and B. A. Schrefler, eds., Pineridge Press, July, 1981, pp. 389–399.
3.
Chorin, A. J., “Numerical Solution of the Navier‐Stokes Equations,” Mathematics of Computation, Vol. 22, 1968, pp. 745–762.
4.
“Computation of Siltation in Dredged Trenches, Semi‐Empirical Model for the Flow in Dredged Trenches,” Report R 1267‐III/M 1536, Delft Hydraulics Laboratory, Delft, The Netherlands, Nov., 1980.
5.
Esposito, P., “Résolution Bi‐Dimensionelle des Equations de Transport par la Méthode des Caractéristiques,” Rapport HE/41/81.16, Electricité de France, Chatou, France, July, 1981.
6.
Kerssens, P. J. M., Prins, A., and Rijn, L. C. van, “Model for Suspended Sediment Transport,” Journal of the Hydraulics Division, ASCE, Vol. 105, No. HY5, Proc. Paper 14574, May, 1979, pp. 461–476.
7.
Koutitas, C., and O'Connor, B., “Turbulence Model for Flow over Dredged Trenches,” Journal of the Hydraulics Division, ASCE, Vol. 107, No. HY8, Proc. Paper 16449, Aug., 1981, pp. 989–1002.
8.
Launder, B. E., and Spalding, D. B., “The Numerical Computation of Turbulent Flows,” Computer Methods in Applied Mechanics and Engineering, Vol. 3, 1974, pp. 269–289.
9.
O'Loughlin, E. M., and MacDonald, E. G., “Some Roughness Concentration Effects on Boundary Resistance,” La Houille Blanche, Vol. 7, Grenoble, France, 1964, pp. 773–783.
10.
Pope, S. B., “The Calculation of Separated Boundary Layers,” Proceedings of the Symposium on Turbulent Shear Flows, Pennsylvania State University, Apr., 1977, pp. 18.35–18.39.
11.
Pyle, R., and Novak, P., “Coefficient of Friction in Conduits with Large Roughness,” Journal of Hydraulic Research, Vol. 19, No. 2, Delft, The Netherlands, 1981, pp. 119–140.
12.
Rijn, L. C. van, “The Computation of the Flow and Turbulence Field in Dredged Trenches,” Report S 488‐I, Delft Hydraulics Laboratory, Delft, The Netherlands, 1982.
13.
Rodi, W., “Turbulence Models and Their Application in Hydraulics,” International Association for Hydraulic Research, Delft, The Netherlands, June, 1980.
14.
Singhal, A. K., and Spalding, D. B., “Predictions of Two‐Dimensional Boundary Layers with the Aid of the Model of Turbulence,” Computer Methods in Applied Mechanics and Engineering, Vol. 25, 1981, pp. 365–383.
15.
Thomas, C. E., Morgan, K., and Taylor, C., “A Finite Element Analysis of Flow over a Backward Facing Step,” Computers and Fluids, Vol. 9, Oxford, United Kingdom, 1981, pp. 265–278.
16.
Viollet, P. L., Keramsi, A., and Benqué, J. P., “Modélisation Bidimensionelle d'Ecoulements en Charge d'un Fluide Incompressible Non Isotherme,” Journal de Méchanique, Vol. 20, No. 3, Paris, France, 1981, pp. 557–589.
Information & Authors
Information
Published In
Copyright
Copyright © 1983 ASCE.
History
Published online: Jul 1, 1983
Published in print: Jul 1983
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.