CLC number: TV143
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2015-03-23
Cited: 3
Clicked: 4410
Citations: Bibtex RefMan EndNote GB/T7714
Xiao-feng Zhang, Shi Ren, Jun-qing Lu, Xin-hua Lu. Effect of thermal stratification on interflow travel time in stratified reservoir[J]. Journal of Zhejiang University Science A, 2015, 16(4): 265-278.
@article{title="Effect of thermal stratification on interflow travel time in stratified reservoir",
author="Xiao-feng Zhang, Shi Ren, Jun-qing Lu, Xin-hua Lu",
journal="Journal of Zhejiang University Science A",
volume="16",
number="4",
pages="265-278",
year="2015",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A1400269"
}
%0 Journal Article
%T Effect of thermal stratification on interflow travel time in stratified reservoir
%A Xiao-feng Zhang
%A Shi Ren
%A Jun-qing Lu
%A Xin-hua Lu
%J Journal of Zhejiang University SCIENCE A
%V 16
%N 4
%P 265-278
%@ 1673-565X
%D 2015
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1400269
TY - JOUR
T1 - Effect of thermal stratification on interflow travel time in stratified reservoir
A1 - Xiao-feng Zhang
A1 - Shi Ren
A1 - Jun-qing Lu
A1 - Xin-hua Lu
J0 - Journal of Zhejiang University Science A
VL - 16
IS - 4
SP - 265
EP - 278
%@ 1673-565X
Y1 - 2015
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A1400269
Abstract: This study is focused on the impact of thermal stratification on interflow travel time. A quantitative relation between buoyancy frequency and interflow travel time is theoretically derived based on the Bernoulli principle of energy conservation. Experiments and numerical simulations are carried out to validate the applicability of the proposed relation. For experiments, interflow movement is successfully detected in a small-depth water tank by releasing a denser flow into a temperature stratification environment. For numerical simulations, a vertical 2D renormalization group (RNG) k-( model is developed to simulate the interflow. The results both of the experiments and of the numerical simulations verify our proposed theory. The derived analytic relation is useful for the prediction of contaminant travel time in reservoirs and in assisting pollution control.
[1]Ahlfeld, D., Joaquin, A., Tobiason, J., et al., 2003. Case study: impact of reservoir stratification on interflow travel time. Journal of Hydraulic Engineering, 129(12):966-975.
[2]Alavian, V., Jirka, G.H., Denton, R.A., et al., 1992. Density currents entering lakes and reservoirs. Journal of Hydraulic Engineering, 118(11):1464-1489.
[3]An, S., Julien, P.Y., 2014. Three-dimensional modeling of turbid density currents in Imha Reservoir, South Korea. Journal of Hydraulic Engineering, 140(5):05014004.
[4]An, S., Julien, P.Y., Venayagamoorthy, S.K., 2012. Numerical simulation of particle-driven gravity currents. Environmental Fluid Mechanics, 12(6):495-513.
[5]Baines, P.G., 2001. Mixing in flows down gentle slopes into stratified environment. Journal of Fluid Mechanics, 443: 237-270.
[6]Benjamin, T.B., 1968. Gravity currents and related phenomena. Journal of Fluid Mechanics, 31(02):209-248.
[7]Bolster, D., Hang, A., Linden, P.F., 2008. The front speed of intrusions into a continuously stratified medium. Journal of Fluid Mechanics, 594:369-377.
[8]Chen, Y.J.C., Wu, S.C., Lee, B.S., et al., 2006. Behavior of storm-induced suspension interflow in subtropical Feitsui Reservoir, Taiwan. Limnology and Oceanography, 51(2):1125-1133.
[9]Cheong, H.B., Kuenen, J.J.P., Linden, P.F., 2006. The front speed of intrusive gravity currents. Journal of Fluid Mechanics, 552:1-11.
[10]Chung, S.W., Gu, R., 1998. Two-dimensional simulations of contaminant currents in stratified reservoir. Journal of Hydraulic Engineering, 124(7):704-711.
[11]Chung, S.W., Hipsey, M.R., Imberger, J., 2009. Modelling the propagation of turbid density inflows into a stratified lake: Daecheong Reservoir, Korea. Environmental Modelling & Software, 24(12):1467-1482.
[12]Cortés, A., Rueda, F.J., Wells, M.G., 2014a. Experimental observations of the splitting of a gravity current at a density step in a stratified water body. Journal of Geophysical Research: Oceans, 119(2):1038-1053.
[13]Cortés, A., Fleenor, W.E., Wells, M.G., et al., 2014b. Pathways of river water to the surface layers of stratified reservoirs. Limnology and Oceanography, 59(1):233-250.
[14]de Cesare, G., Boillat, J.L., Schleiss, A.J., 2006. Circulation in stratified lakes due to flood-induced turbidity currents. Journal of Environmental Engineering, 132(11):1508-1517.
[15]Fernandez, R.L., Imberger, J., 2008. Time-varying underflow into a continuous stratification with bottom slope. Journal of Hydraulic Engineering, 134(9):1191-1198.
[16]Flynn, M.R., Sutherland, B.R., 2004. Intrusive gravity currents and internal gravity wave generation in stratified fluid. Journal of Fluid Mechanics, 514:355-383.
[17]Gu, R., Chung, S.W., 1998. Reservoir flow sensitivity to inflow and ambient parameters. Journal of Water Resources Planning and Management, 124(3):119-128.
[18]Gu, R., Chung, S.W., 2003. A two-dimensional model for simulating the transport and fate of toxic chemicals in a stratified reservoir. Journal of Environmental Quality, 32(2):620-632.
[19]Gu, R., McCutcheon, S.C., Wang, P.F., 1996. Modeling reservoir density underflow and interflow from a chemical spill. Water Resources Research, 32(3):695-705.
[20]Guo, Y., Zhang, Z., Shi, B., 2014. Numerical simulation of gravity current descending a slope into a linearly stratified environment. Journal of Hydraulic Engineering, 140(12):04014061.
[21]Imberger, J., 1985. The diurnal mixed layer. Limnology and Oceanography, 30(4):737-770.
[22]Maurer, B.D., Bolster, D.T., Linden, P.F., 2010. Intrusive gravity currents between two stably stratified fluids. Journal of Fluid Mechanics, 647:53-69.
[23]Maxworthy, T., Leilich, J.S.J.E., Simpson, J.E., et al., 2002. The propagation of a gravity current into a linearly stratified fluid. Journal of Fluid Mechanics, 453:371-394.
[24]Nokes, R.I., Davidson, M.J., Stepien, C.A., et al., 2008. The front condition for intrusive gravity currents. Journal of Hydraulic Research, 46(6):788-801.
[25]Rueda, F.J., MacIntyre, S., 2010. Modelling the fate and transport of negatively buoyant storm–river water in small multi-basin lakes. Environmental Modelling & Software, 25(1):146-157.
[26]Rueda, F.J., Moreno-Ostos, E., Armengol, J., 2006. The residence time of river water in reservoirs. Ecological Modelling, 191(2):260-274.
[27]Shin, J.O., Dalziel, S.B., Linden, P.F., 2004. Gravity currents produced by lock exchange. Journal of Fluid Mechanics, 521:1-34.
[28]Umeda, M., Yokoyama, K., Ishikawa, T., 2006. Observation and simulation of floodwater intrusion and sedimentation in the Shichikashuku Reservoir. Journal of Hydraulic Engineering, 132(9):881-891.
[29]Ungarish, M., 2005. Intrusive gravity currents in a stratified ambient: shallow-water theory and numerical results. Journal of Fluid Mechanics, 535:287-323.
[30]Ungarish, M., 2006. On gravity currents in a linearly stratified ambient: a generalization of Benjamin’s steady-state propagation results. Journal of Fluid Mechanics, 548: 49-68.
[31]van Doormaal, J.P., Raithby, G.D., 1984. Enhancements of the SIMPLE method for predicting incompressible fluid flows. Numerical Heat Transfer, 7(2):147-163.
[32]Wells, M., Nadarajah, P., 2009. The intrusion depth of density currents flowing into stratified water bodies. Journal of Physical Oceanography, 39(8):1935-1947.
[33]Yin, M., Shi, F., Xu, Z., 1996. Renormalization group based κ-ε turbulence model for flows in a duct with strong curvature. International Journal of Engineering Science, 34(2):243-248.
Open peer comments: Debate/Discuss/Question/Opinion
<1>