Citation: | Ji Ziqing, Bai Yuchuan, Xu Haijue. Linear global instability of the plane flow with meandering wall. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(2): 1-12 doi: 10.6052/0459-1879-22-570 |
[1] |
Leopold LB, Wolman MG. River meanders. Geol Soc A M Bull, 1960, 71: 769-794 doi: 10.1130/0016-7606(1960)71[769:RM]2.0.CO;2
|
[2] |
Langbein WB, Leopold LB. River meanders-theory of minimum variance. Geographical Review, 1967, 57(2): 279
|
[3] |
Hafez Y. Excess energy theory for river curvature and meandering. Journal of Hydrology, 2022, 608(1): 127604
|
[4] |
Ikeda S, Parker G, Kenji Sawai K. Bend theory of river meanders. Part 1. Linear development. Journal of Fluid Mechanics, 1981, 112: 363-377
|
[5] |
Parker G, Sawai K, Ikeda S. Bend theory of river meanders. Part 2. Nonlinear deformation of finite-amplitude bends. Journal of Fluid Mechanics, 1982, 115: 303-314
|
[6] |
Johannesson H, Parker G. Linear theory of river meanders//Parker G, Ikeda S, eds. River Meandering. American Geophysical Union, Washington DC, 1989
|
[7] |
Seminara G. Meanders. Journal of Fluid Mechanics, 2006, 554: 271-297 doi: 10.1017/S0022112006008925
|
[8] |
Pittaluga BM, Nobile MG, Seminara G. A nonlinear model for river meandering. Water Resources Research. 2009, 45, W04432
|
[9] |
Chen, D, Duan JD. Simulating sine-generated meandering channel evolution with an analytical model. Journal of Hydraulic Research, 2006, 44(3): 363-373 doi: 10.1080/00221686.2006.9521688
|
[10] |
Hooke RB. Distribution of sediment transport and shear stress in a meander bend. Journal of Geology, 1975, 83: 543-565 doi: 10.1086/628140
|
[11] |
Abad JD, Garcia MH. Experiments in a high-amplitude kinoshita meandering channel: 1. Implications of bend orientation on mean and turbulent flow structure. Water Resources Research, 2009, 45: W02401
|
[12] |
Abad JD, Garcia MH. Experiments in a high-amplitude Kinoshita meandering channel: 2. Implications of bend orientation on bed morphodynamics. Water Resources Research, 2009, 45: W02402
|
[13] |
许栋, 白玉川, 谭艳. 正弦派生曲线弯道中水沙运动特性动床试验, 天津大学学报, 2010, 43(9): 762-770
Xu Dong, Bai Yuchuan, Tan Yan. Experiment on characteristics of flow and sediment movement in sine-generated meandering channels with movable bed. Journal of Tianjin University, 2010, 43(9): 762-770 (in Chinese))
|
[14] |
Pan Y, Liu X, Yang K. Effects of discharge on the velocity distribution and riverbed evolution in a meandering channel. Journal of Hydrology, 2022, 607: 127539 doi: 10.1016/j.jhydrol.2022.127539
|
[15] |
Yalin MS. River Mechanics: Oxford: Pergamon Press, 1992
|
[16] |
Julien P. River Mechanics: Cambridge University Press, 2002
|
[17] |
Duan Y, Chen Q, Li D, et al. Contributions of very large-scale motions to turbulence statistics in open channel flows. Journal of Fluid Mechanics, 2020, 892: A3 doi: 10.1017/jfm.2020.174
|
[18] |
Orszag SA. Accurate solution of the Orr-Sommerfeld stability equation. Journal of Fluid Mechanics, 1971, 50(4): 689-703 doi: 10.1017/S0022112071002842
|
[19] |
Reynolds WC, Potter MC. Finite-amplitude instability of parallel shear flows. Journal of Fluid Mechanics, 1967, 27: 465-492 doi: 10.1017/S0022112067000485
|
[20] |
Nishioka M, Ichikawa Y. An experimental investigation of the stability of plane Poiseuille flow. J Fluid Mech, 1975, 72: 731-751 doi: 10.1017/S0022112075003254
|
[21] |
Stuart JT. Nonlinear stability theory. Annual Review of Fluid Mechanics, 1971, 3: 347-370 doi: 10.1146/annurev.fl.03.010171.002023
|
[22] |
Herbert T. Secondary instability of boundary layers. Annual Review of Fluid Mechanics, 1988, 20: 487-526 doi: 10.1146/annurev.fl.20.010188.002415
|
[23] |
Herbert T. Parabolized stability equations. Annual Review of Fluid Mechanics, 1997, 29: 245-283 doi: 10.1146/annurev.fluid.29.1.245
|
[24] |
Smith FT, Stewart PA. The resonant-triad nonlinear interaction in boundary-layer transition. Journal of Fluid Mechanics, 1987, 179: 227-252 doi: 10.1017/S0022112087001502
|
[25] |
Smith FT, Blennerhassett P. Nonlinear interaction of oblique three-dimensional Tollmien-Schlichting waves and longitudinal vortices, in channel flows and boundary layers. Proceedings of The Royal Society A, 1992, 436: 585-602
|
[26] |
Hall P, Smith FT. Nonlinear Tollmien-Schlichting/vortex interaction in boundary-layers. European Journal of Mechanics - B, 1989, 8: 179-205
|
[27] |
Hall P, Smith FT. On strongly nonlinear vortex/wave interactions in boundary-layer transition. Journal of Fluid Mechanics, 1991, 227: 641-666 doi: 10.1017/S0022112091000289
|
[28] |
Wu X. Viscous effects on fully coupled resonant-triad interactions: an analytical approach. Journal of Fluid Mechanics, 1995, 292: 377-407 doi: 10.1017/S0022112095001571
|
[29] |
Wu X, Stewart PA, Cowley SJ. On the weakly nonlinear development of Tollmien-Schlichting wavetrains in boundary layers. Journal of Fluid Mechanics, 1996, 323: 133-171 doi: 10.1017/S0022112096000870
|
[30] |
Wu X. Nonlinear theories for shear flow instabilities: Physical insights and practical implications. Annu. Rev. Fluid Mech, 2019, 51: 451-485
|
[31] |
Theofilis V. Advances in global linear instability of nonparallel and three-dimensional flows. Progress in Aerospace Sciences, 2003, 39(4): 249-315 doi: 10.1016/S0376-0421(02)00030-1
|
[32] |
Theofilis V. Global linear instability. Annual Review of Fluid Mechanics, 2011, 43: 319-352 doi: 10.1146/annurev-fluid-122109-160705
|
[33] |
Tezuka A, Suzuki K. Three-dimensional global linear stability analysis of flow around a spheroid. AIAA Journal, 2006, 44: 1697-1708 doi: 10.2514/1.16632
|
[34] |
He W, Timme S. Triglobal infinite-wing shock-buffet study. Journal of Fluid Mechanics, 2021, 925: A27 doi: 10.1017/jfm.2021.678
|
[35] |
Thomas C, Andrew P, Bassom PJ, et al. The linear stability of oscillatory Poiseuille flow in channels and pipes. Proceedings of the Royal Society A, 2011, 467: 2643-2662 doi: 10.1098/rspa.2010.0468
|
[36] |
Bai Y, Xu H. A study on the stability of laminar open-channel flow over a sandy rippled bed. Science China Technological Sciences, 2005, 1: 83-103
|
[37] |
Xu H, Bai Y. Stability characteristics of the open channel flow above the asymmetrical irregular sand ripples. Science China Physics, Mechanics & Astronomy, 2010, 53(8): 1515-1529
|
[38] |
Cecconi F, Blakaj V, Gradoni G, et al. Diffusive transport in highly corrugated channels. Physics Letters A, 2019, 383(11): 1084-1091 doi: 10.1016/j.physleta.2018.12.041
|
[39] |
Okechi NF, Asghar S. Oscillatory flow in a corrugated curved channel. European Journal of Mechanics - B, 2020, 84: 81-92 doi: 10.1016/j.euromechflu.2020.05.005
|
[40] |
Bai Y, Ji Z, Zhang M. A type of dynamic mechanism of river hydraulic geometry Science China Technological Sciences, 2014, 57(4): 847-855
|
[41] |
白玉川, 冀自青, 徐海珏. 摆动河槽水动力稳定性特征分析. 力学学报, 2017, 49(2): 274-288 (Bai Yuchuan, Ji Ziqing, Xu Haijue. Hydrodynamic instability characteristics of laminar flow in a meandering channel with moving boundary. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(2): 274-288 (in Chinese) doi: 10.6052/0459-1879-16-105
|
[42] |
李彬, 徐海珏, 白玉川等. 常曲率弯道二维流动稳定性与非线性演化规律分析. 力学学报, 2021, 53(1): 168-183 (Li Bin, Xu Haijue, Bai Yuchuan, et al. Analysis of hydrodynamic instability and nonlinear evolution characteristics of two dimensional flow in constant curvature bend. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(1): 168-183 (in Chinese)
|