TECHNICAL PAPERS
Jul 1, 2000

Locating Discharge Trajectories in Still and Moving Ambient Fluids

Publication: Journal of Hydraulic Engineering
Volume 126, Issue 7

Abstract

The angular momentum principle is employed to locate the trajectories of wastewater plumes. This momentum-based method differs from the traditional approach where a perturbation analysis, based on the centerline velocities, is employed for locating discharges. Evidence of the latter can be found in existing Eulerian-integral and length-scale models. The momentum-based method is incorporated into the hybrid model SD3D, where the regional flow solutions are modified to incorporate the influences of relatively small components of momentum on the discharge trajectory. This method provides a clear understanding of the factors that influence the location of the discharge. The momentum-based approach yields analytical trajectory solutions in many cases, and it eliminates the need to arbitrarily select the appropriate characteristic velocity for locating the flow. Comparisons are made with available experimental data, and they show that the momentum-based method provides accurate predictions of the flow trajectories under a variety of discharge conditions. Comparisons are also made with predictions from the CORMIX1 and JETLAG models. In general the predictions are consistent, but some important discrepancies are highlighted. The use of the momentum-based method for locating discharges is discussed in light of recent experimental studies.

Get full access to this article

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

References

1.
Anwar, H. O. (1972). “Measurements on horizontal buoyant jets in calm ambient fluid.” La Houille Blanche, 27(4).
2.
Ayoub, G. M. ( 1971). “Dispersion of buoyant jets in a flowing ambient fluid.” PhD thesis, Dept. of Civ. Engrg., Imperial Coll. of Sci. and Technol., University of London, London.
3.
Cheung, V. ( 1991). “Mixing of a round buoyant jet in a current.” PhD thesis, Dept. of Civ. and Struct. Engrg., University of Hong Kong, Hong Kong.
4.
Chu, V. H. ( 1994). “Lagrangian scaling of turbulent jets and plumes with dominant eddies.” Recent research advances in the fluid mechanics of jets and plumes, Kluwer, Dordrecht, The Netherlands, 45–72.
5.
Davidson, M. J. ( 1989). “The behavior of single and multiple, horizontally discharged, buoyant flows in a non-turbulent coflowing ambient fluid.” Rep. 89-3, PhD thesis, Dept. of Civ. Engrg., University of Canterbury, Christchurch, New Zealand.
6.
Davidson, M. J., and Pun, K. L. (1998). “Hybrid model for prediction of initial dilutions from outfall discharges.”J. Hydr. Engrg., ASCE, 124(12), 1188–1197.
7.
Davidson, M. J., and Pun, K. L. (1999). “Weakly advected jets in cross-flow.”J. Hydr. Engrg., ASCE, 125(1), 47–58.
8.
Davidson, M. J., Wood, I. R., and Knudsen, M. (1991). “The behavior of a single, horizontally discharged, buoyant flow in a non-turbulent coflowing ambient fluid.”J. Hydr. Res., Delft, The Netherlands, 29(4), 545–566.
9.
Gaskin, S. J. ( 1995). “Single buoyant jets in a crossflow and the advected line thermal.” PhD thesis, Dept. of Civ. and Struct. Engrg., University of Canterbury, Christchurch, New Zealand.
10.
Hanson, J., and Schroder, H. ( 1968). “Horizontal jet dilution studies by use of radioactive isotopes.” Acta Polytechnican Scandinavia, Civ. Engrg. and Build. Constr. Ser. No. 49, Copenhagen, Denmark.
11.
Hung, W. K. (1998). “A jet at an oblique angle to a cross-flow.” Final Year Proj. Rep., Civ. Engrg. Dept., Hong Kong University of Science and Technology, Hong Kong.
12.
Hussein, H. J., Capp, S. P., and George, W. K. (1994). “Velocity measurements in a high-Reynolds-number momentum conserving, axisymmetric, turbulent jet.” J. Fluid Mech., Cambridge, U.K., 258, 31–75.
13.
Jirka, G. H. (1999). “Five asymptotic regimes of a round buoyant jet in stratified crossflow.” Proc., 27th Int. Assn. Hydr. Res. Biennial Congr.
14.
Jordinson, R. ( 1956). Flow in a jet directed normal to the wind, Aeronautical Research Council, London, 3074.
15.
Lee, J. H. W., and Cheung, V. (1991). “Generalized Lagrangian model for buoyant jets in current.”J. Envir. Engrg,, ASCE, 116(6), 1085–1106.
16.
Pun, K. L. ( 1998). “Hybrid models for jets and plumes in a flowing ambient fluid.” PhD thesis, Civ. Engrg. Dept., Hong Kong University of Science and Technology, Hong Kong.
17.
Pun, K. L., and Davidson, M. J. (1999). “On the behavior of advected plumes and thermals.”J. Hydr. Res., Delft, The Netherlands, 37(4), 519–540.
18.
Pun, K. L., Davidson, M. J., and Wood, I. R. (1998). “Momentum-based solutions for buoyant jet trajectories in still and flowing ambient fluids.” Proc., 2nd Int. Symp. on Envir. Hydr., University of Hong Kong, Hong Kong.
19.
Roberts, P. J. W., and Snyder, W. H. (1993). “Hydraulic model study for Boston outfall. I: Riser configuration.”J. Hydr. Engrg., ASCE, 119(9), 970–987.
20.
Wood, I. R., Bell, R. G., and Wilkinson, D. L. (1993). Ocean disposal of wastewater, World Scientific, Singapore.
21.
Wright, S. J. (1977). “Effects of ambient crossflow and density stratification on the characteristic behavior of round turbulent buoyant jets.” Rep. No. KH-R-36, W. M. Keck Lab. of Hydr. and Water Resour., California Institute of Technology, Pasadena, Calif.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 126Issue 7July 2000
Pages: 513 - 524

History

Received: Jan 29, 1999
Published online: Jul 1, 2000
Published in print: Jul 2000

Permissions

Request permissions for this article.

Authors

Affiliations

Lect., Dept. of Civ. Engrg., Hong Kong Univ. of Sci. and Technol., Hong Kong.
Postgraduate Student, Dept. of Civ. Engrg., Hong Kong Univ. of Sci. and Technol., Hong Kong.

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