TECHNICAL PAPERS
Aug 1, 1992

Modeling Vertical Structure of Open‐Channel Flows

Publication: Journal of Hydraulic Engineering
Volume 118, Issue 8

Abstract

A three‐dimensional hydrodynamic model is applied to flows in open channels. The model incorporates a second‐moment turbulence‐closure model that has demonstrated considerable skill in simulating turbulent flows in laboratory experiments and in various geophysical and engineering boundary layers. The closure model consists of differential equations for turbulence energy and turbulence length scale. The remaining second‐moment equations are reduced to a set of algebraic equations in which tendency, advection, and diffusion terms are omitted. To account for the effect of the free surface on the bulk of the channel flow, a modification of the macroscale equation is introduced; the rest of the model equations and their attendant nondimensional constants remain unchanged. The model performance is assessed using laser‐Doppler anemometer measurements on the centerline of a large number of laboratory, smooth and rough, homogeneous and stratified, open‐channel flows with different values of the aspect ratio. Good agreement is found between the model and data in every case. Because the model is based upon a self‐consistent framework and is able to reproduce the many experiments provided here, the model can be used with confidence in environmental applications.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Blumberg, A. F., and Mellor, G. L. (1987). “A description of a three‐dimensional coastal ocean circulation model.” Three dimensional coastal models, Norman S. Heaps, ed., American Geophysical Union, Washington, D.C., 1–16.
2.
Canuto, V. M., Hartke, G. J., Battaglia, A., Chasnov, J., and Albrecht, G. F. (1990). “Theoretical study of turbulent channel flow: bulk properties, pressure fluctuations, and propagation of electromagnetic waves.” J. Fluid Mech., 211, 1–35.
3.
Celik, I., and Rodi, W. (1984). “Simulation of free‐surface effects in turbulent channel flows.” Phys. Chem. Hydrodyn., 5(3/4), 217–227.
4.
Chow, V. T. (1959). Open channel hydraulics. McGraw‐Hill Book Company, New York, N.Y.
5.
Galperin, B., and Hassid, S. (1986). “A modified turbulent energy model for geophysical flows: influence of the ground proximity.” Boundary‐Layer Met., 35, 155–165.
6.
Galperin, B., Kantha, L. H., Hassid, S., and Rosati, A. (1988). “A quasi‐equilibrium turbulent energy model for geophysical flows.” J. Atmos., sci., 45, 55–62.
7.
Galperin, B., and Mellor, G. L. (1991). “The effects of streamline curvature and spanwise rotation on near‐surface, turbulent boundary layers.” J. Appl. Math. and Physics (ZAMP), 42, 565–583.
8.
Gibson, M. M., and Launder, B. E. (1978). “Ground effects on pressure fluctuations in the atmospheric boundary layer.” J. Fluid Mech., 86, 491–511.
9.
Gibson, M. M., and Rodi, W. (1989). “Simulation of free surface effects on turbulence with a Reynolds stress model.” J. Hydraul. Res., 27, 233–244.
10.
Handler, R. A., Swearingen, J. D., Swean, T. F., and Leighton, R. I. (1991). “Length scales of turbulence near a free surface.” AIAA Paper 91‐1775, Presented at 22nd Fluid Dynamics, Plasma Dynamics and Lasers Conf., American Institute of Aeronautics and Astronautics, Jun. 24–26.
11.
Izumi, Y., and Caughey, J. S. (1976). “Minnesota 1973 atmospheric boundary layer experiment data report.” AFCRL‐TR‐76‐0038, ERO No. 547.
12.
Kirkgoz, M. S. (1989). “Turbulent Velocity Profiles for smooth and rough open channel flow.” J. Hydr. Engrg., ASCE, 115, 1543–1561.
13.
Komori, S., Ueda, H., Ogino, F., and Mizushina, T. (1982). “Turbulence structure in unstably‐stratified open‐channel flow.” Phys. Fluids, 25, 1539–1547.
14.
Komori, S., Ueda, H., Ogino, F., and Mizushina, T. (1983). “Turbulence structure in stably stratified open‐channel flow.” J. Fluid Mech., 130, 13–26.
15.
Lakshminarayana, B. (1986). “Turbulence modeling for complex shear flows.” AIAA J., 24, 1900–1917.
16.
Leighton, R. I., Swean, T. F., Jr., Handler, R. A., and Swearingen, J. D. (1991). “Interaction of vorticity with a free surface in turbulent open channel flow.” AIAA Paper 91‐0236, Presented at 29th Aerospace Sci. Meeting, American Institute of Aeronautics and Astronautics, Jan. 7–10.
17.
Mellor, G. L. (1966). “The effects of pressure gradients on turbulent flow near a smooth wall.” J. Fluid Mech., 24, 255–274.
18.
Mellor, G. L., and Yamada, T. (1982). “Development of turbulence closure model for geophysical fluid problems.” Rev. Geophys. Space Phys., 20, 851–875.
19.
Moin, P., and Kim, J. (1982). “Numerical investigation of turbulent channel flow.” J. Fluid Mech., 118, 341–377.
20.
Nakagawa, H., Nezu, I., and Ueda, H. (1975). “Turbulence of open channel flow over smooth and rough beds.” Proc. Japan Society Civ. Engrs., 241, 155–168.
21.
Nallasamy, M. (1987). “Turbulence models and their applications to the prediction of internal flows: a review.” Comp. and Fluids, 15(2), 151–194.
22.
Nezu, I., and Nakagawa, H., (1987). “Numerical calculation of turbulent open‐channel flows in consideration of free surface effect.” Mem. Fac. Eng. Kyoto Univ., 49, 111–145.
23.
Nezu, I., and Rodi, W. (1986). “Open channel flow measurements with a laser Doppler anemometer.” J. Hydr. Engrg., ASCE, 112 (5), 335–355.
24.
Swean, T. F., Jr., Leighton, R. I., Handler, R. A., and Swearingen, J. D. (1991). “Turbulence modeling near the free surface in an open channel flow.” AIAA Paper 91‐0613, Presented at 29th Aerospace Sci. Meeting, American Institute of Aeronautics and Astronautics, Jan. 7–10.
25.
Wei, T., and Willmarth, W. W. (1989). “Reynolds number effects on the structure of a turbulent channel flow.” J. Fluid Mech., 204, 57–95.
26.
Willis, G. E., and Deardorff, J. W. (1974). “A laboratory model of the unstable planetary boundary layer.” J. Atmos. Sci., 31, 1297–1307.
27.
Yaglom, A. M., (1979). “Similarity laws for constant pressure and pressure gradient turbulent wall flows.” Ann. Rev. Fluid Mech., 11, 505–540.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 118Issue 8August 1992
Pages: 1119 - 1134

History

Published online: Aug 1, 1992
Published in print: Aug 1992

Permissions

Request permissions for this article.

Authors

Affiliations

Alan F. Blumberg, Member, ASCE
Prin. Sci., HydroQual, Inc., 1 Lethbridge Plaza, Mahwah, NJ 07430
Boris Galperin
Assoc. Prof., Dept. of Marine Sci., Univ. of South Florida, St. Petersburg, FL 33701
Donald J. O'Connor, Member, ASCE
Prin. Consultant, HydroQual, Inc., 1 Lethbridge Plaza, Mahwah, NJ

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share