Theoretical bend-flow solutions and velocity-dip phenomenon

References

• Absi, R. (2011). An ordinary differential equation for velocity distribution and dip-phenomenon in open channel flows. Journal of Hydraulic Research, 49(1), 82–89. doi: 10.1080/00221686.2010.535700
   Web of Science ®Google Scholar
• Bai, Y. C., & Chen, H. B. (2013). Theory analysis on 3D flow field and morphology by external and internal mode for constant curvature bend river. IAHR World Congress Proceedings: 35th IAHR Congress– Chengdu, 1, Chengdu 1–19. Retrieved from https://www.iahr.org/site/cms/contentDocumentView.asp?chapter=42&category=372&article=1208
   Google Scholar
• Bai, Y. C., Ji, Z. Q., Liu, X. X., Xu, H. J., Yang, S. Q., & Yang, Y. H. (2012). Instability of laminar flow in narrow and deep meander channel with constant curvature. Scientia Sinica, 42(2), 162–171. doi: 10.1360/132010-776
   Google Scholar
• Bai, Y.-C., & Wang, Z.-Y. (2014). Theory and application of nonlinear river dynamics. International Journal of Sediment Research, 29(3), 285–303. doi: 10.1016/S1001-6279(14)60045-7
   Web of Science ®Google Scholar
• Bai, Y. C., & Yang, Y. H. (2011). The dynamic stability of the flow in a meander channel (in Chinese). Science China Technological Sciences, 54(4), 931–940. doi: 10.1007/s11431-011-4316-1
   Web of Science ®Google Scholar
• Blanckaert, K., & Graf, W. H. (2004). Momentum transport in sharp open-channel bends. Journal of Hydraulic Engineering, 130(3), 186–198. doi: 10.1061/(ASCE)0733-9429(2004)130:3(186)
   Web of Science ®Google Scholar
• Booij, R. (2003). Measurements and large eddy simulations of the flows in some curved flumes. Journal of Turbulence, 4(4), 8-8(1). doi: 10.1088/1468-5248/4/1/008
   Google Scholar
• Camporeale, C., Perona, P., Porporato, A., & Ridolfi, L. (2007). Hierarchy of models for meandering rivers and related morphodynamic processes. Reviews of Geophysics, 45. doi: 10.1029/2005RG000185
   Web of Science ®Google Scholar
• Chen, Q. G., Zhong, Q., Li, D. X., & Wang, X. K. (2012). Experimental study of open channel flow in a bend. Advances in Water Science, 23(3), 369–375. doi: 10.14042/j.cnki.32.1309.2012.03.006
   Google Scholar
• Engelund, F. (1974). Flow and bed topography in channel bends. Journal of the Hydraulics Division, 100(3), 1631–1648. Retrieved from https://www.researchgate.net/publication/284655978
   Google Scholar
• Francis, J. B. (1878). On the cause of the maximum velocity of water flowing in open channels being below the surface. Transaction of the American Society of Civil Engineers, 7(1), 109–113. Retrieved from https://www.researchgate.net/publication/291701011
   Google Scholar
• Guo, J. (2014). Modified log-wake-law for smooth rectangular open channel flow. Journal of Hydraulic Research, 52(1), 121–128. doi: 10.1080/00221686.2013.818584
   Web of Science ®Google Scholar
• Guo, J., & Julien, P. Y. (2005). Shear stress in smooth rectangular open-channel flows. Journal of Hydraulic Engineering, 131, 30–37. doi: 10.1061/(ASCE)0733-9429(2005)131:1(30)
   Web of Science ®Google Scholar
• Han, Q. W., & He, M. M. (1995). Erosion of river reach downstream three gorge reservoir and its influence on flood prevention (in Chinese). Journal of Hydroelectric Engineering, 3, 34–46. Retrieved from http://epub.cnki.net/kns/brief/default_result.aspx
   Google Scholar
• Hu, C. H. (1985). Effects of width-to-depth ratio and side wall roughness on velocity distribution and friction factor (Master’s thesis). Tsinghua University, Beijing.
   Google Scholar
• Hui, Y. J., & Hu, C. H. (1991). Effects of aspect ratio and sidewall roughness on velocity distribution and resistance coefficient in rectangular open channels. Advances in Water Science, 2(1), 22–31. doi: 10.14042/j.cnki.32.1309.1991.01.003
   Google Scholar
• Johannesson, H. (1988). Theory of river meanders (Doctoral dissertation). University of Minnesota, Minneapolis, MN.
   Google Scholar
• Johannesson, H., & Parker, G. (1989). Secondary flow in mildly sinuous channel. Journal of Hydraulic Engineering, 115(3), 289–308. doi: 10.1061/(ASCE)0733-9429(1989)115:3(289)
   Web of Science ®Google Scholar
• Kalkwijk, J. P. Th., & De Vriend, H. J. (1980). Computation of the flow in shallow river bends. Journal of Hydraulic Research, 18(4), 327–342. doi: 10.1080/00221688009499539
   Web of Science ®Google Scholar
• Kashyap, S., Constantinescu, G., Rennie, C. D., Post, G., & Townsend, R. (2012). Influence of channel aspect ratio and curvature on flow, secondary circulation, and bed shear stress in a rectangular channel bend. Journal of Hydraulic Engineering, 138(12), 1045–1059. doi: 10.1061/(ASCE)HY.1943-7900.0000643
   Web of Science ®Google Scholar
• Lassabatere, L., Jann Hui, P. U., Bonakdari, H., Joannis, C., & Larrarte, F. (2013). Velocity distribution in open channel flows: Analytical approach for the outer region. Journal of Hydraulic Engineering, 139(1), 37–43. doi: 10.1061/(ASCE)HY.1943-7900.0000609
   Web of Science ®Google Scholar
• Mockmore, C. A. (1943). Flow around bends in stable channels. Transactions of the American Society of Civil Engineers, 109(1), 593–618. Retrieved from http://cedb.asce.org/CEDBsearch/record.jsp?dockey=293283
   Google Scholar
• Murphy, E. C. (1904). Accuracy of stream measurements. United States Geological Survey, 95, 111–112. Retrieved from http://pubs.usgs.gov/wsp/0095/report.pdf
   Google Scholar
• Parker, G., Shimizu, Y., Wilkerson, G. V., Eke, E. C., Abad, J. D., Lauer, J. W., … Voller, V. R. (2011). A new framework for modeling the migration of meandering rivers. Earth Surface Processes & Landforms, 36(1), 70–86. doi: 10.1002/esp.2113
   Web of Science ®Google Scholar
• Richard, S. (2008). China’s environmental challenges: Three Gorges dam: Into the unknown. Science, 321, 628–632. doi: 10.1126/science.321.5889.628
   PubMed Web of Science ®Google Scholar
• Rozovskiĭ, I. L. (1957). Flow of water in bends of open channels. Kiev: Academy of Sciences of the Ukrainian. [English translation, (1961), Jerusalem: Israel Program for Scientific Translations.]
   Google Scholar
• Sarma, K. V. N., Lakshminarayana, P., & Lakshmana Rao, N. S. (1983). Velocity distribution in smooth rectangular open channels. Journal of Hydraulic Engineering, 109(2), 270–289. doi: 10.1061/(ASCE)0733-9429(1983)109:2(270)
   Web of Science ®Google Scholar
• Termini, D., & Piraino, M. (2011). Experimental analysis of cross-sectional flow motion in a large amplitude meandering bend. Earth Surface Processes & Landforms, 36(2), 244–256. doi: 10.1002/esp.2095
   Web of Science ®Google Scholar
• Van Balen, W., Uijttewaal, W. S. J., & Blanckaert, K. (2009). Large-eddy simulation of a mildly curved open-channel flow. Journal of Fluid Mechanics, 630, 413–442. doi: 10.1017/S0022112009007277
   Web of Science ®Google Scholar
• Yang, S.-Q., Tan, S.-K., & Lim, S.-Y. (2004). Velocity distribution and dip-phenomenon in smooth uniform open channel flows. Journal of Hydraulic Engineering, 130(12), 1179–1186. doi: 10.1061/(ASCE)0733-9429(2004)130:12(1179)
   Web of Science ®Google Scholar
• Zolezzi, G., & Seminara, G. (2001). Downstream and upstream influence in river meandering. Part 1. General theory and application to overdeepening. Journal of Fluid Mechanics, 438, 183–211. Retrieved from https://www.researchgate.net/publication/281822623 doi: 10.1017/S002211200100427X
   Web of Science ®Google Scholar