Volume 10 Issue 3
Jul.  2017
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Li Gu, Qiu-lan Li, Bo Dai, Zu-lin Hua, Xiao-dong Liu, Ke-jian Chu. 2017: Flow patterns and critical criteria of thermally stratified shear flow in braided rivers. Water Science and Engineering, 10(3): 225-235. doi: 10.1016/j.wse.2017.09.003
Citation: Li Gu, Qiu-lan Li, Bo Dai, Zu-lin Hua, Xiao-dong Liu, Ke-jian Chu. 2017: Flow patterns and critical criteria of thermally stratified shear flow in braided rivers. Water Science and Engineering, 10(3): 225-235. doi: 10.1016/j.wse.2017.09.003

Flow patterns and critical criteria of thermally stratified shear flow in braided rivers

doi: 10.1016/j.wse.2017.09.003
Funds:  This work was supported by the National Natural Science Foundation of China (Grants No. 51379058, 51379060, and 51479064), the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD Project), and the Fundamental Research Funds for the Central Universities (Grants No. 2016B06714 and 2014B07814).
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  • Corresponding author: guliqc@hhu.edu.cn (Li Gu).
  • Received Date: 2016-08-07
  • Rev Recd Date: 2017-05-12
  • Flow characteristics of thermally stratified shear flow in braided rivers are particularly complicated and poorly understood. In this study, a series of typical flow patterns was examined and their critical criteria were determined. Four flow patterns were identified: mixed, locally unstable, continuously stratified, and two-layer flow. Temperature distributions of the four types of flow patterns were analyzed and compared. The critical Froude numbers for unstable flow,  , and stable flow,  , were determined to be 6 and 1, respectively, and comparison of   and   to the peak Froude numbers,   at the outer bank and   at the inner bank along the anabranch, allowed the flow patterns to be assessed. Then, a discriminant based on initial Jeffreys-Keulegan stability parameters was established to distinguish the flow stages from two-layer flow to completely mixed flow. It is indicated that the three critical Jeffreys-Keulegan parameters increased with the diversion angle of braided rivers. Results also show that, compared to the stratified flow in straight and curved channels, it was more difficult for braided stratified flow to maintain as two-layer flow, and it more easily became mixed flow. Consequently, empirical expressions for stability criteria of the thermally stratified shear flow in braided rivers are presented.

     

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  • Chu, K.J., Hua, Z.L., Wang, H.M., Xing, L.H., 2004. Experimental investigation on stability of stratified shear flows in open channel with a bending angle of 45°. Journal of Hohai University (Natural Sciences) 32(6), 640–643.
    Chu, K.J., 2006. Laboratory Investigation and Numerical Simulation of Thermally Stratified Shear Flow. Ph.D. Dissertation. Hohai University, Nanjing (in Chinese).
    Chu, K.J., Hua, Z.L., Xing, L.H., Gu, L., 2008. Entrainment and shear instability of stratified flow in curved flume with 90° bend. In: Proceedings of 16th IAHR-APD Congress and 3rd Symposium of IAHR-ISHS: Advances in Water Resources and Hydraulic Engineering, pp. 551–555.
    Donda, J.M.M., van Hooijdonk, I.G.S., Moene, A.F., Jonker, H.J.J., van Heijst, G.J.F., Clercx, H.J.H., van de Wiel, B.J.H., 2015. Collapse of turbulence in stably stratified channel flow: A transient phenomenon. Quarterly Journal of the Royal Meteorological Society 141(691), 2137–2147. http://dx.doi.org/10.1002/qj.2511.
    Drazin, P.G., 1958. The stability of a shear layer in an unbounded heterogeneous inviscid fluid. Journal of Fluid Mechanics 4(2), 214–224. http://dx.doi.org/10.1017/S0022112058000409.
    Galperin, B., Sukoriansky, S., Anderson, P.S., 2007. On the critical Richardson number in stably stratified turbulence. Atmospheric Science Letters 8(3), 65–69. http://dx.doi.org/10.1002/asl.153.
    García-Villalba, M., Del Álamo, J.C., 2011.Turbulence modification by stable stratification in channel flow. Physics Fluids 23(4), 045104. http://dx.doi.org/10.1063/1.3560359.
    Gu, L., Yuan, H., Hua, Z.L., Wang, L.L., Li, Q.L., Jiao, Z.N., 2014. Turbulence characteristics of stratified flow in braided river with varied velocity ratios and width ratios. Journal of Hohai University (Natural Sciences) 42(2), 130–136. http://dx.doi.org/10.3876/j.issn.1000-1980.2014.02.007.
    Gu, L., Li, Q.L., Hua, Z.L., Wang, L.L., Yuan, H., 2015. Thermal-hydraulic characteristics of stratified shear flow in braided rivers. Journal of Hydraulic Research 53(6), 747–759. http://dx.doi.org/10.1080/00221686.2015.1060269.
    Harleman, D.R.F., 1961. Stratified flow. In: Streeter, V., ed., Handbook of Fluid Dynamics, Chapeter 26. McGraw-Hill, New York.
    Hua, Z.L., Chu, K.J., 2008. Experiments and Numerical Simulations on Characteristics of Thermally Stratified Flow. Science Press, Beijing (in Chinese).
    Hua, Z.L., Gu, L., Chu, K.J., 2009. Experiments of three-dimensional flow structure in braided rivers. Journal of Hydrodynamics, Ser. B  21(2), 228–237. http://dx.doi.org/10.1016/S1001-6058(08)60140-7.
    Huai, W.X., Li, Z.W., Qian, Z.D., Zeng, Y.H., Han, J., Peng, W.Q., 2010. Numerical simulation of horizontal buoyant wall jet. Journal of Hydrodynamics, Ser. B 22(1), 58–65. http://dx.doi.org/10.1016/S1001-6058(09)60028-7.
    Jeffreys, H., 1925. On the formation of water waves by wind. Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences 107(742), 189–206, http://dx.doi.org/10.1098/rspa.1925.0015.
    Jin, H.S., Zhang, S.N., 1992. Stability and numerical simulation of turbulent stratified flows. Hydro-Science and Engineering 6(2), 121–131 (in Chinese).
    Keulegan, G.H., 1949. Interfacial instability and mixing in stratified flows. Journal of Research of the National Bureau of Standards 11(43), 487–500.
    Li, Q.L., 2014. Turbulent Characteristics near Interface of Thermally Stratified Shear Flow in Braided River. M.E. Dissertation. Hohai University, Nanjing (in Chinese).
    Miles, J.W., 1961. On the stability of heterogeneous shear flows. Journal of Fluid Mechanics 10(4), 496–508. http://dx.doi.org/10.1017/S0022112061000305.
    Richardson, W.R., Thorne, C.R., 1998. Secondary currents around braid bar in Brahmaputra River, Bangladesh. Journal of Hydraulic Engineering, 124(3), 325–328. http://dx.doi.org/10.1061/(ASCE)0733-9429(1998)124:3(325).
    Richardson, W.R., Thorne, C.R., 2001. Multiple thread flow and channel bifurcation in a braided river: Brahmaputra-Jamuna River, Bangladesh. Geomorphology 38(3-4), 185–196. http://dx.doi.org/10.1016/S0169-555X(00)00080-5.
    Rohr, J., Van Atta, C., 1987. Mixing efficiency in stably stratified growing turbulence. Journal of Geophysical Research 92(C5), 5481–5488. http://dx.doi.org/10.1029/JC092iC05p05481.
    Schiller, E.J., Sayre, W.W., 1975. Vertical temperature profiles in open-channel flow. Journal of the Hydraulics Division101(6), 749–761.
    Schmid, B.H., Hengl, M.A., Stephan, U., 2004. Salinity-induced density stratification in near-laminar open-channel flows. Journal of Hydraulic Engineering 130(12), 1206–1210.
    Sherekov, I.A., Netjuhalio, A.P., Teleshkin, E.D., 1971. Research investigation of transfer process in two-dimensional stratified flow. In: Proceedings of the XIVth Congress of the International Association for Hydraulic Research (IAHR), pp. 217–226.
    Taylor, G.I., 1931. Effect of variation in density on the stability of superposed streams of fluid. Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences 132(820), 499–523. http://dx.doi.org/10.1098/rspa.1931.0115.
    Wang, L.L., 2015. Lateral Circulation Characteristics and Temperature Distribution of Thermally Stratified Flow in Braided River. M.E. Dissertation. Hohai University, Nanjing (in Chinese).
    Williamson, N., Armfield, S.W., Kirkpatrick, M.P., Norris, S.E, 2015. Transition to stably stratified states in open channel flow with radiative surface heating. Journal of Fluid Mechanics 766, 528–555. http://dx.doi.org/10.1017/jfm.2014.711.
    Yu, X.M., Tan, G.M., Zhang, Y., Zhao, P., 2007. Experiment on transportation characteristics of flow and sediment in distributaries channel. Engineering Journal of Wuhan University 40(4), 9–12 (in Chinese). http://dx.doi.org/10.3969/j.issn.1671-8844.2007.04.003.
    Zeng, Y.H., Huai, W.X., 2005. Numerical study on the stability and mixing of vertical round buoyant jet in shallow water. Applied Mathematics and Mechanics 26(1), 92–100. http://dx.doi.org/10.1007/BF02438370.
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