TECHNICAL PAPERS
Oct 1, 1989

Thermally Induced Density Currents in Nonrectangular Sidearms

Publication: Journal of Hydraulic Engineering
Volume 115, Issue 10

Abstract

Steady‐state experiments in a dead‐end laboratory channel having an overbank cross section are used to investigate the effects of cross‐sectional shape on thermally induced gravitational circulation in cooling pond sidearms with large length‐to‐depth ratios. When the water depth is large over the overbank section, the flow is predominantly two‐dimensional, longitudinal, and located across the entire channel width above the level of the overbank section. As the water depth is decreased, both transverse shear and density driven cross‐channel circulation are observed. For very shallow water depths over the overbank section, the longitudinal circulation returns to two‐dimensional circulation, although it is located only in the deep part of the cross section. Comparisons to two‐dimensional theory quantitatively confirm the two‐dimensional behavior at the deepest water depth and show that even at very shallow water depths the overbank section remains quite effective for heat loss. An equivalent rectangular cross section can be defined for a nonrectangular cross section which allows two‐dimensional theory to be used to predict bulk sidearm properties such as total heat loss rate and return flow temperature.

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References

1.
Adams, E. E., and Wells, S. A. (1984). “Field measurements on side arms of Lake Anna, Va.” J. Hydr. Engrg., ASCE, 110(6), 773–793.
2.
Brocard, D. N., Jirka, G. H., and Harleman, D. R. F. (1977). “A model for the convective circulation in side‐arms of cooling lakes.” Report No. 223, R.M. Parsons Lab., Dept. of Civ. Engrg., Massachusetts Inst. of Tech., Cambridge, Mass.
3.
Cherian, M. P., and Jain, S. C. (1985). “An analytical solution for buoyance‐driven flow in sidearms of cooling lakes.” Report No. 286, Iowa Inst. for Hydr. Res., Univ. of Iowa, Iowa City, Iowa.
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Hamrick, J. M. (1979). “Salinity and gravitational circulation in partially stratified estuaries.” Thesis presented to the Dept. of Civ. Engrg., University California, at Berkeley, Calif., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
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Jain, S. C. (1980). “Density currents in sidearms of cooling ponds.” J. Energy Div., ASCE, 106(1), 9–21.
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Luettich, R. A., Jr. (1981). “An investigation of the effects of a nonrectangular cross section on the thermally induced gravitational circulation in a dead‐end channel.” Thesis presented to the Georgia Institute of Technology, at Atlanta, Ga., in partial fulfillment of the requirements for the degree of Master of Science in Civil Engineering.
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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 115Issue 10October 1989
Pages: 1332 - 1351

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Published online: Oct 1, 1989
Published in print: Oct 1989

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Authors

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Richard A. Luettich, Jr.
Asst. Prof., Univ. of North Carolina at Chapel Hill, Inst. of Marine Sci., 3407 Arendell St., Morehead City, NC 28557
Terry W. Sturm, Member, ASCE
Assoc. Prof., School of Civ. Engrg., Georgia Inst. of Tech., Atlanta, GA 30332

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