Surface Thermal Plume in Channel
Publication: Journal of Hydraulic Engineering
Volume 115, Issue 7
Abstract
The summer behavior of a surface thermal plume in a deep channel is investigated. An integral model is applied to predict the supercritical flow domain. The model is based on the concept of turbulent entrainment decay in stably stratified shear flows. The performance of linear and nonlinear entrainment functions are evaluated. The turbulent structure of the plume is examined using flow visualization and measurements of temperature fluctuations. When the plume attains its terminal phase, the collapsing turbulence is characterized by a gradual disappearance of small‐scale fluctuations and the appearance of coherent thermal waves. This transfer of energy to lower frequencies and the associated organization of fluctuations coincide with a shift in the pattern of turbulent energy decay.
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References
1.
Arita, M., Jirka, G. H., and Tamai, N. (1986). “Classification and mixing of twodimensional buoyant surface discharges.” J. Hydr. Res., 24, 333–345.
2.
Baddour, R. E. (1987a). “Hydraulics of shallow and stratified mixing channel.” J. Hydr. Engrg., ASCE, 113(5), 630–644.
3.
Baddour, R. E. (1987b). “A stratified mixing channel: Theory and experiment.” Proc., Nat. Conf. on Hydr. Engrg., ASCE, Williamsburg, Va, 135–140.
4.
Baddour, R. E., and Abbink, H. (1983). “Turbulent underflow in a short channel of limited depth.” J. Hydr. Engrg., ASCE, 109(5), 722–740.
5.
Baddour, R. E., and Chu, V. H. (1978). “Turbulent gravity‐stratified shear flows.” Tech. Rept. 78‐3, Dept. of Civ. Engrg. and Appl. Mech., McGill Univ., Montreal, Canada.
6.
Baddour, R. E., and Chu, V. H. (1977). “Development of turbulent mixing layer at high exit Richardson number.” Proc., XVIIth Congress, Int. Assoc. Hydr. Res., Baden‐Baden, W. Germany, 1, 317–324.
7.
Baddour, R. E., and Chu, V. H. (1975). “Buoyant surface discharge on a step and on a sloping bottom.” Tech. Rept. 75‐2. Dept. of Civ. Engrg. and Appl. Mech., McGill Univ., Montreal, Canada.
8.
Baddour, R. E., and D'Andrea, M. (1987). “Turbulence and fronts in three‐dimensional surface plumes.” 3rd Int. Symp. on Stratified Flows, Pasadena, Calif.
9.
Brown, G. L., and Roshko, A. (1974). “On density effects and large structure in turbulent mixing layers.” J. Fluid Mech., 64, 775–816.
10.
Champagne, F. H., Pao, Y. H., and Wygnanski, I. J. (1976). “On the two‐dimensional mixing region.” J. Fluid Mech., 74, 209–250.
11.
Chu, V. H., and Baddour, R. E. (1984). “Turbulent gravity‐stratified shear flows.” J. Fluid Mech., 138, 353–378.
12.
Chu, V. H., and Baddour, R. E. (1980). “Stability of turbulence in plane shear layers.” 2nd Int. Symp. on Stratified Flows. Trondheim, Norway, 1, 367–377.
13.
Chu, V. H., and Jirka, G. H. (1987). “Surface buoyant jets and plumes.” Encyclopedia of Fluid Mech., N. P. Cheremisinoff, ed., 6, 1053–1084.
14.
Chu, V. H., and Vanvari, M. R. (1976). “Experimental study of turbulent stratified shearing flow.” J. Hydr. Engrg., ASCE, 102, 691–706.
15.
Ellison, T. H., and Turner, J. S. (1959). “Turbulent entrainment in stratified flows.” J. Fluid Mech., 6, 423–448.
16.
Farghaly, H. A., and Baddour, R. E. (1988a). “A numerical study of positively buoyant two‐dimensional surface thermal plume.” Proc., Annual CSCE Conf., Calgary, Alberta, Canada, 2, 164–177.
17.
Farghaly, H. A., and Baddour, R. E. (1988b). “Turbulent structure of surface thermal plume in a channel.” Tech. Hydr. Rept. No. 88.2, Dept. of Civ. Engrg., The Univ. of Western Ontario, London, Ontario, Canada.
18.
Hazel, P. (1972). “Numerical studies of the stability of inviscid stratified shear flows.” J. Fluid Mech., 51, 39–61.
19.
Hopfinger, E. J. (1973). “Development of a stratified turbulent shear flow.” Proc., Int. Svmp. on Stratified Flows. ASCE and the Int. Assoc. Hydr. Res., Novosibirsk, U.S.S.R., 553–565.
20.
Koh, R. C. Y. (1971). “Two‐dimensional surface warm jets.” J. Hydr. Engrg., ASCE, 97(6), 819–836.
21.
Koop, C. G., and Browand, F. K. (1979). “Instability and turbulence in a stratified fluid with shear.” J. Fluid Mech., 93, 135–159.
22.
Lin, J.‐T., and Pao, Y.‐H. (1979). “Wakes in stratified fluids.” Annual Rev. of Fluid Mech., 11, 317–338.
23.
List, E. J. (1982). “Turbulent jets and plumes.” Annual Rev. of Fluid Mech., 14, 189–212.
24.
Schwarz, W. H., and Cosart, W. P. (1961). “The two‐dimensional turbulent wall jet.” J. Fluid Mech., 10, 481–495.
25.
Stefan, H. (1972). “Dilution of buoyant two‐dimensional surface discharges.” J. Hydr. Engrg., ASCE, 98(1), 71–86.
26.
Thorpe, S. A. (1971). “Experiments on instability of stratified shear flows.” J. Fluid Mech., 46, 299–319.
27.
Thorpe, S. A. (1973). “Experiments on instability and turbulence in a stratified shear flow.” J. Fluid Mech., 61, 731–751.
28.
Vanvari, M. R., and Chu, V. H. (1974). “Two‐dimensional surface jets of low Richardson number.” Fluid Mech. Lab. Tech. Rept. 74‐2, Dept. of Civ. Engrg. and Appl. Mech., McGill Univ., Montreal, Canada.
29.
Wilkinson, D. L., and Wood, I. R. (1971). “A rapidly varied flow phenomenon in a two‐layer flow.” J. Fluid Mech., 47, 241–256.
30.
Winant, C. D., and Browand, F. K. (1974). “Vortex pairing: The mechanism of turbulent mixing layer growth at moderate Reynolds numbers.” J. Fluid Mech., 63, 237–255.
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Copyright © 1989 ASCE.
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Published online: Jul 1, 1989
Published in print: Jul 1989
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