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浙江大学学报(工学版)
JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE)
Hydraulic Engineering     
Mass transport and flow field of power law muddy bed under surface waves
LIU Jie, BAi Yu chuan，XU Hai jue
1. National Inland Waterway Regulation Engineering Research Center, Chongqing Jiaotong University, Chongqing 400074, China;
2. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China
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Abstract  

A theoretical study on the mass transport and the flow field in muddy bed due to surface waves was performed based on Eulerian coordinates system. In the twolayer system, the fluid in the upper layer was clear water, and mud in the lower layer was modelled as a power-law medium; the wave motion was driven by the periodic pressure on the water surface. According to the assumptions of shallowness and small deformations, a perturbation analysis was carried out to the second order; the numerical iteration method was employed to solve the non-linear governing equation at the leading order. With change of the power-law flow index and the pressure load, the flow field and the mass transport velocity were examined; the free water surface and interfacial set-ups were also found as a part of the solutions. It turns out that, as the flow index decreases, the velocity value in the upper layer diminishes and the rotation of the cells in the upper layer eventually reverses; the circulation structure appears near the interface, because of the interfacial shearing. The mass transport velocity also decreases rapidly with the decreasing of flow index. The verification is given by comparing the calculated results  with the experimental results in the literature, which shows a good agreement．

Published: 22 September 2016
CLC:  U 65  
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Cite this article:

LIU Jie, BAi Yu chuan，XU Hai jue. Mass transport and flow field of power law muddy bed under surface waves. JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE), 2016, 50(9): 1798-1805.

URL:

http://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2016.09.22     OR     http://www.zjujournals.com/eng/Y2016/V50/I9/1798


幂律流底泥的质量输移和流场

基于欧拉坐标系,在波浪与底泥相互作用的两层系统中,对表面波作用下底泥的质量输移进行理论研究.上层为水;下层为底泥,用幂律流模型描述; 波动由施加在在自由水表面上的周期性压力荷载驱动.基于浅水波和小变形假设,采用摄动分析将运动方程和边界条件展开到二阶问题,并采用数值迭代法计算求解非线性微分方程.分析幂律流流动指数和压力荷载的变化对流场分布、质量输移速度以及自由水面和泥-水界面位置变化的影响.结果发现,随着幂律流流动指数的减小,由于受到界面剪切作用,泥-水界面附近流场中出现环流结构和流动间歇性停止现象,同时质量输移速度迅速减小.为验证理论分析的正确性,将质量输移速度计算结果与水槽试验结果进行对比,结果发现两者吻合较好.

［1］ GADE H G. Effects of a nonrigid impermeable bottom on plane surface waves in shallow water ［J］. Journal of Marine Research, 1958, 16(3): 61-82．
［2］ DALRYMPLE R A, PHLIP L F. Waves over soft muds: a two layer model ［J］. Journal of Physical Oceanography, 1978, 8(7): 1121-1131．
［3］ HU Y, GUO X, DALRYMPLE R A. Idealized numerical simulation of breaking water wave propagating over a viscous mud layer ［J］. Physics of Fluid, 2012, 24(11): 120.
［4］ NG C O. Mass transport in a layer of powerlaw fluid forced by periodic surface pressure ［J］. Wave Motion, 2004, 39(3): 241-259．
［5］ HUANG L Y, QIN C. Spectral collocation model for solitary wave attenuation and mass transport over viscous mud ［J］. Journal of Engineering Mechanics, 2009, 135(8): 887-891．
［6］ SOLTANPOUR M, SHIBAYAMA T. A twodimensional experimental numerical approach to investigate wave transformation over muddy beds ［J］. Ocean Dynamics, 2014, 65: 295-310．
［7］ XIA Y Z, ZHU K Q. The propagation of a solitary wave over seabed mud of the Voigt model ［J］. Science China, 2012, 55(1): 108-117．
［8］ 牛小静, 余锡平. 复杂黏弹性流体运动的数值计算方法［J］.水动力学研究与进展A辑,2008,23(3)： 331-337．
NIU Xiaojing, YU Xiping. A numerical method for flows of fluids with complex viscoelasticity ［J］. Chinese Journal of Hydrodynamics, 2008, 23(3): 331-337．
［9］ LIU C R, WU B. A Binghamplastic model for fluid mud transport under waves and currents ［J］. China Ocean Engineering, 2014, 28(2): 227-238．
［10］ HSU W Y, HWUNG H H. An experimental and numerical investigation on wavemud interactions ［J］. Journal of Geophysical Research: Oceans, 2013, 118: 1126-1141．
［11］ ZHANG X Y, NG C O. Mudwave interaction: a viscoelastic model ［J］. China Ocean Engineering, 2006, 20(1): 15-26．
［12］ XIA Y Z, ZHU K Q. A study of wave attenuation over a Maxwell model of a muddy bottom ［J］. Wave Motion, 2010, 47 (8): 601-615．
［13］ 牛小静, 余锡平.泥质海床的黏弹性模型 ［J］.清华大学学报：自然科学版,2008,48(9)：1417-1421．
NIU Xiaojing, YU Xiping. Viscoelasticplastic model for muudy seabed ［J］. Journal of Tsinghua University: Science and Technology, 2008, 48(9): 1417-1421．
［14］ YAMAMOTO T, NAGAI T, FIGUEROA J L. Experiments on wavesoil interaction and wavedriven soil transport in clay bed ［J］. Continental Shelf Research, 1986, 5(4): 521-540.
［15］ 田琦,白玉川.不同流变模型下的淤泥与波浪相互作用规律［J］.天津大学学报,2011,44(3)： 196-201．
TIAN Qi, BAI Yuchuan. Interaction between mud and wave in different rheological models ［J］. Journal of Tianjin University, 2011, 44(3): 196-201．
［16］ 庞启秀.浮泥形成和运动特性及其应对措施研究［D］.天津：天津大学,2011.
PANG Qixiu. Formation and motion characteristics of fluid mud and counter measurements ［D］. Tianjin: Tianjin University, 2011.
［17］ BECKER J M,BERCOVICI D. Pattern formation on the interface of a twolayer fluid: biviscous lower layer ［J］. Wave Motion, 2001, 34(1): 431-452.
［18］ LONGUETHIGGINS M S. Mass transport in water waves ［J］. Philosophical Transactions of the Royal Society, 1953, A245: 535-581．
［19］ NG C O. Mass transport due to partial standing waves ［J］. Journal of Fluid Mechanics, 2004, 520: 297-325．
［20］ ZHANG D H, NG C O. A numerical study on wavemud interaction ［J］. China Ocean Engineering, 2006, 20(3): 383-394．
［21］ MEI C C, LIU K F. A Binghamplastic model for a muddy seabed under long waves ［J］. Journal of Geophysical Research, 1987, 92C (13): 14581-14594．
［22］ SAKAKIYAMA T, BIJKER E W. Mass transport velocity in mud layer due to progressive waves ［J］. Journal of Waterway, Port, Coastal, and Ocean Engineering, 1989, 115: 614-633.
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