TECHNICAL PAPERS
May 1, 1986

Open‐channel Flow Measurements with a Laser Doppler Anemometer

Publication: Journal of Hydraulic Engineering
Volume 112, Issue 5

Abstract

A powerful two‐color Laser Doppler Anemometer (LDA) system, with direct digital signal processing has been used to measure accurately the longitudinal and vertical velocity components in two‐dimensional, fully‐developed open‐channel flow over smooth beds. The law of the wall and the velocity defect law were re‐examined because the log‐law has been often applied to open channels without detailed verification. It was found that the log‐law can be applied strictly only to the near‐wall region. In this region, the von K´rm´n constant κ and the integral constant A are truly universal, having values of κ=0.412 and A=5.29 irrespective of the Reynolds and Froude number. As the Reynolds number becomes larger, the deviation from the log‐law cannot be neglected in the outer region. This deviation can be expressed well by Coles' wake function which involves a Reynolds‐number dependent parameter Π. The distributions of eddy viscosity and mixing length were evaluated and found to depend on Π. All the data including the turbulence intensities will offer valuable information for the further understanding of open‐channel flow and for the development and testing of calculation methods.

Get full access to this article

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

References

1.
Blinco, P. H., and Partheniades, E., “Turbulence Characteristics in Free Surface Flows over Smooth and Rough Boundaries,” Journal of Hydraulic Research, Vol. 9, 1971, pp. 43–69.
2.
Cebeci, T., and Smith, A. M. O., “Analysis of Turbulent Boundary Layers,” Academic Press, New York, N.Y., 1974.
3.
Celik, I., and Rodi, W., “Simulation of Free‐Surface Effects in Turbulent Channel Flows,” PhysicoChemical Hydrodynamics, Vol. 5, 1984, pp. 217–227.
4.
Clark, J. A., “A Study of Incompressible Turbulent Boundary Layers in Channel Flow,” Transactions of ASME, Journal of Basic Engineering, 1968, pp. 455–468.
5.
Coleman, N. L., “Velocity Profiles with Suspended Sediment,” Journal of Hydraulic Research, Vol. 19, 1981, pp. 211–229.
6.
Coles, D., “The Law of the Wake in the Turbulent Boundary Layer,” Journal of Fluid Mechanics, Vol. 1, 1956, pp. 191–226.
7.
Coles, D., “The Young Person's Guide to the Data,” Proc., AFOSR‐IFP Stanford Conference on Computation of Turbulent Boundary Layers, edited by Coles & Hirst, Vol. 2, 1968, pp. 1–45.
8.
Coles, D., “A Model for Flow in the Viscous Sublayer,” Workshop on Coherent Structure of Turbulent Boundary Layers, Lehigh Univ., Bethlehem, Pa., 1978.
9.
Dean, R. B., “Reynolds Number Dependence of Skin Friction and Other Bulk Flow Variables in Two‐Dimensional Rectangular Duct Flow,” Journal of Fluids Engineering, Vol. 100, 1978, pp. 215–223
10.
Eckelmann, H., “The Structure of Viscous Sublayer and the Adjacent Wall Region in a Turbulent Channel,” Journal of Fluid Mechanics, Vol. 65, 1974, pp. 439–459.
11.
Gessner, F. B., “Corner Flow,” 1980–81 AFOSR‐HTTM Stanford Conference on Complex Turbulent Flows, Vol. I, edited by S. J. Kline, B. Cantwell and G. M. Lilley, 1981, pp. 182–212.
12.
Grass, A. J., “Structural Features of Turbulent Flow over Smooth and Rough Boundaries,” Journal of Fluid Mechanics, Vol. 50, 1971, pp. 233–255.
13.
Huffman, G. D., and Bradshaw, P., “A Note on von K´rm´n's Constant in Low Reynolds Number Turbulent Flows,” Journal of Fluid Mechanics, Vol. 53, 1972, pp. 45–60.
14.
Jobson, H. E., and Sayre, W. W., “Vertical Transfer in Open Channel Flow,” Journal of the Hydraulics Division, ASCE, No. HY3, 1970, pp. 703–724.
15.
Keulegan, G. H., “Laws of Turbulent Flow in Open Channels,” Journal of Research, National Bureau of Standards, Vol. 121, 1938.
16.
Komori, S., Ueda, H., Ogino, F., and Mizushina, T., “Turbulence Structure and Transport Mechanism at the Free Surface in an Open Channel Flow,” International Journal Heat Mass Transfer, Vol. 25, 1982, pp. 513–522.
17.
Laufer, J., “The Structure of Turbulence in Fully Developed Pipe Flow,” NACA, TR‐1174, 1954.
18.
McQuivey, R. S., and Richardson, E. V., “Some Turbulence Measurements in Open‐Channel Flow,” Journal of the Hydraulics Division, ASCE, No. HY1, 1969, pp. 209–223.
19.
Nakagawa, H., Nezu, I., and Ueda, H., “Turbulence of Open Channel Flow over Smooth and Rough Beds,” Proceedings Japan Society of Civil Engineers, No. 241, 1975, pp. 155–168.
20.
Nakagawa, H., and Nezu, I., “Prediction of the Contributions to the Reynolds Stress from the Bursting Events in Open‐Channel Flows,” Journal of Fluid Mechanics, Vol. 80, 1977, pp. 99–128.
21.
Nakagawa, H., and Nezu, I., “Structure of Space‐Time Correlation of Bursting Phenomena in an Open Channel Flow,” Journal of Fluid Mechanics, Vol. 104, 1981, pp. 1–43.
22.
Nakagawa, H., Nezu, I., and Tominaga, A., “Secondary Currents in a Straight Channel Flow and the Relation to its Aspect Ratio,” 4th Symposium on Turbulent Shear Flows, Karlsruhe, F.R. Germany, 1983, pp. 3.8–3.13.
23.
Nezu, I., “Turbulent Structure in Open‐Channel Flows,” thesis presented to Kyoto Univ., at Kyoto, Japan, in 1977, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
24.
Nezu, I., and Rodi, W., “Experimental Study on Secondary Currents in Open Channel Flow,” 21st Congress of IAHR, Melbourne, Australia, Vol. 2, 1985, pp. 114–119.
25.
Patankar, S. V., and Spalding, D. B., “Heat and Mass Transfer in Boundary Layers,” 2nd ed., Intertext, London, England, 1970.
26.
Quarmby, A., and Quirk, R., “Measurements of the Radial and Tangential Eddy Diffusivities of Heat and Mass in Turbulent Flow in a Plain Tube,” International Journal Heat Mass Transfer, Vol. 15, 1972, pp. 2309–2327.
27.
Raichlen, F., “Some Turbulence Measurements in Water,” Journal of Engineering Mechanics, ASCE, No. EM2, 1967, pp. 73–97.
28.
Schlicting, H., “Boundary Layer Theory,” 4th ed., McGraw‐Hill, New York, N.Y., 1960.
29.
Smutek, R., Discussion of “Measurement of Turbulence in Water,” by E. V. Richardson and R. S. McQuivey, Journal of the Hydraulics Division, ASCE, No. HY1, 1969, pp. 519–523.
30.
Steffler, P. M., Rajaratnam, N., and Peterson, A. W., “LDA Measurements of Mean Velocity and Turbulence Distribution in a Smooth Rectangular Open Channel,” Water Resources Engineering, Report 83‐4, Dept. of Civil Eng., Univ. of Alberta, Canada, 1983.
31.
Tropea, C., “Frequency Determination in a LDA Digital Processor,” Report SFB 80/ME/152, Univ. of Karlsruhe, 1980.
32.
Ueda, H., Möller, R., Komori, S., and Mizushina, T., “Eddy Diffusivity near the Free Surface of Open Channel Flow,” International Journal Heat Mass Transfer, Vol. 20, 1977, pp. 1127–1136.
33.
Zippe, H. J., and Graf, W. H., “Turbulent Boundary‐Layer Flow over Permeable and Non‐Permeable Rough Surfaces,” Journal of Hydraulic Resources, Vol. 21, 1983, pp. 51–65.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 112Issue 5May 1986
Pages: 335 - 355

History

Published online: May 1, 1986
Published in print: May 1986

Permissions

Request permissions for this article.

Authors

Affiliations

Iehisa Nezu
Assoc. Prof., Dept. of Civ. Engrg., Kyoto Univ., Kyoto 606, Japan
Wolfgang Rodi, M. ASCE
Prof., Inst. for Hydromechanics, Univ. of Karlsruhe, 7500 Karlsruhe, F.R. Germany

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