TECHNICAL PAPERS
Dec 1, 1983

Side Discharges into Open Channels: Mathematical Model

Publication: Journal of Hydraulic Engineering
Volume 109, Issue 12

Abstract

The paper presents a three‐dimensional numerical mathematical model for calculating the near field of side discharges into open channel flow. The method employs the standard kε turbulence model for determining the turbulent stresses. Two discretization schemes are considered, namely, the hybrid central/upwind differencing scheme and the quadratic, upstream‐weighted differencing scheme. The latter has been shown by previous investigators to produce improved numerical solutions for a number or recirculating flows. This finding is confirmed by the present investigation. The predictions are compared with experimental observations of earlier investigators of isothermal side discharges into both rough‐ and smooth‐bed open channel flows; each at discharge to cross flow velocity ratios of 0.3 and 4.0. The agreement is in the main, satisfactory for all the different cases considered.

Get full access to this article

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

References

1.
Andreopoulos, J. J., “Measurements in a Pipe Flow issuing Perpendicular into a Cross‐Stream,” Transactions, Journal of Fluids Engineering, American Society of Mechanical Engineers, Vol. 104, 1982, pp. 493–500.
2.
Carter, M. M., “A Preliminary Report on the Characteristics of a Heated Jet Discharged Horizontal into a Transverse Current, Part 1—Constant Depth,” Technical Report No. 61, Chesapeake Bay Institute, John Hopkins University, Baltimore, Md., 1968.
3.
Demuren, A. O., “Numerical Calculation of Steady Three‐Dimensional Turbulent Jets in Cross Flow,” Computer Methods in Applied Mechanics and Engineering, Vol. 37, 1983, pp. 309–328.
4.
Gehrig, W., Jurisch, R., and Lemmin, U., “Ergebnisse der Messungen am seitlich in eine Gerinnestromung eingeleitete Strahl,” Report SFB 80/ETM/76, University of Karlsruhe, W. Germany, 1976.
5.
Hossain, M. S., “Mathematische Modellierung von turbulenten Auftriebsstromungen,” thesis presented to the University of Karlsruhe, W. Germany, in 1980, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
6.
Johnston, J. P., “Internal Flows,” Turbulence, P. Bradshaw, ed., Topics in Applied Physics, Vol. 12, Springer‐Verlag, Berlin, 1976, pp. 109–169.
7.
Launder, B. E., and Spalding, D. B., “The Numerical Calculation of Turbulent Flows,” Computer Methods in Applied Mechanics and Engineering, Vol. 3, 1974, pp. 264–280.
8.
Leonard, B. P., “A Stable and Accurate Convective Modelling Procedure Based on Quadratic Upstream Interpolation,” Computer Methods in Applied Mechanics and Engineering, Vol. 19, 1979, pp. 59–98.
9.
Leschziner, M. A., and Rodi, W., “Calculation of Annular and Twin Parallel Jets Using Various Discretisation Schemes and Turbulence‐Model Variations,” Journal of Fluids Engineering, American Society of Mechanical Engineers, Vol. 103, 1981, pp. 352–360.
10.
Leschziner, M. A., and Rodi, W., “Calculation of a Coaxial Heated Water Discharge,” Journal of Hydraulics Engineering, ASCE.
11.
McGuirk, J. J., and Rodi, W., “A Depth‐Averaged Mathematical Model for the Near Field of Side Discharges into Open‐Channel Flow,” Journal of Fluid Mechanics, Vol. 86, part 4, 1978, pp. 761–781.
12.
Mikhail, R., Chu, V. M., and Savage, S. B., “The Reattachment of a Two‐Dimensional Turbulent Jet in a Confined Cross Flow,” Proceedings, 16th International Association for Hydraulic Research Congress, Sao Paulo, Brazil, Vol. 3, 1975.
13.
Naot, D., and Rodi, W., “Calculation of Secondary Currents in Channel Flow,” Journal of the Hydraulics Division, ASCE, Vol. 108, No. HY8, Proc. Paper 17269, Aug., 1982, pp. 948–968.
14.
Patankar, S. V., and Spalding, D. B., “A Calculation Procedure for Heat, Mass and Momentum Transfer in Three‐Dimensional Parabolic Flows,” International Journal of Heat and Mass Transfer, Vol. 15, 1972, pp. 1787–1806.
15.
Rastogi, A. K., and Rodi, W., “Predictions of Heat and Mass Transfer in Open Channels,” Journal of the Hydraulics Division, ASCE, Vol. 104, No. HY3, Proc. Paper 13639, Mar., 1978, pp. 397–420.
16.
Rodi, W., “Turbulence Models and Their Application in Hydraulics,” International Association for Hydraulic Research, Delft, The Netherlands, 1980.
17.
Rodi, W., and Srivatsa, S. K., “A Locally Elliptic Calculation Procedure for Three‐Dimensional Flows and its Application to a Jet in a Cross‐Flow,” Computer Methods in Applied Mechanics and Engineering, Vol. 23, 1980, pp. 67–82.
18.
Rodi, W., and Weiss, K., “Laboruntersuchungen des Nahfelds von Warmwassereinleitungen in Rechteckgerinne,” Report Nr. 574, Institute for Hydromechanics, University of Karlsruhe, W. Germany, 1980.
19.
Sayre, W. W., and Albertson, M. L., “Roughness Spacing in Rigid Open Channels,” Transactions, ASCE, Vol. 128, 1963.
20.
Strazisar, A., and Prahl, J., “The Effects of Bottom Friction on River Entrance Flow with Crossflow,” Proceedings, 16th Conference Great Lakes Research, 1973, pp. 615–625.
21.
Sugiyama, Yo., and Usami, Y., “Experiments on the Flow in and Around Jets Directed Normal to a Crossflow,” Bulletin of the Japan Society of Mechanical Engineers, Vol. 22, 1979, pp. 1736–1745.
22.
Ueda, M., Möller, R., Komori, S., and Mizushina, T., “Eddy Diffusivity near the Free Surface of Open Channel Flow,” International Journal of Heat and Mass Transfer, Vol. 20, 1977, pp. 1127–1136.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 109Issue 12December 1983
Pages: 1707 - 1722

History

Published online: Dec 1, 1983
Published in print: Dec 1983

Permissions

Request permissions for this article.

Authors

Affiliations

Ayodeji O. Demuren
Research Engr., Sonderforschungsbereich 80, Univ. of Karlsruhe, F.R. Germany
Wolfgang Rodi
Prof., Sonderforschungsbereich 80, Univ. of 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