自由表面与粘性尾迹的相互作用

卢东强

自由表面与粘性尾迹的相互作用

卢东强^1,2

1.
上海大学上海市应用数学和力学研究所,上海 200072;
香港大学机械工程系,香港薄扶林道

基金项目: 香港研究资助局资助项目(HKU7076/02E);上海市重点学科建设项目

详细信息

作者简介:
卢东强(1972- ),男,福建惠安人,博士(Tel:+86-21-56338372;Fax:+86-21-36033287;E-mail:dqlu@mail.shu.edu.cn).

中图分类号: O353.2
计量
- 文章访问数: 2962
- HTML全文浏览量: 68
- PDF下载量: 696
- 被引次数: 0
出版历程
- 收稿日期: 2002-11-01
- 修回日期: 2003-11-11
- 刊出日期: 2004-06-15

Interaction of Viscous Wakes With a Free Surface

LU Dong-qiang^1,2

1.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;
Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, P. R. China

摘要

摘要: 解析地研究了无限深不可压粘性流体中运动物体产生层流尾迹与自由表面波的相互作用．以定常的Oseen方程模拟受扰流动,对于小振幅自由表面波则采用线性化的运动学和动力学边界条件．在数学描述上,运动物体以Oseen极子模拟,受扰流场分解成表述粘性尾迹的无界奇异Oseen流和描述自由面效应的有界正则Oseen流之和．通过积分变换法,得到自由表面波的精确解．借助Lighthill的两步格式,导出了自由面波高带有附加校正项的渐近解．所得对称解显示了波动的振幅因粘性和潜深的存在而呈指数衰减．
- 自由表面波 /
- 粘性尾迹 /
- 粘性 /
- 潜深 /
- Oseen极子 /
- Lighthill两步格式 /
- 渐近解
Abstract: The interaction of laminar wakes with free-surface waves generated by a moving body beneath the surface of an incompressible viscous fluid of infinite depth was investigated analytically. The analysis was based on the steady Oseen equations for disturbed flows. The kinematic and dynamic boundary conditions were linearized for the small-amplitude free-surface waves. The effect of the moving body was mathematically modeled as an Oseenlet. The disturbed flow was regarded as the sum of an unbounded singular Oseen flow which represents the effect of the viscous wake and a bounded regular Oseen flow which represents the influence of the free surface. The exact solution for the free-surface waves was obtained by the method of integral transforms. The asymptotic representation with additive corrections for the free-surface waves was derived by means of Lighthill's two-stage scheme. The symmetric solution obtained shows that the amplitudes of the free-surface waves are exponentially damped by the presences of viscosity and submergence depth.
- free-surface wave /
- viscous wake /
- viscosity /
- submergence depth /
- Oseenlet /
- Lighthill's two-stage ’scheme /
- asymptotic solution

HTML全文

参考文献(21)

[1]	Ursell F. On the Kelvin's ship-wave pattern [J].J Fluid Mech, 1960,8:418—431. doi: 10.1017/S0022112060000700
[2]	Crapper G D.Surface waves generated by a traveling pressure point[J].Proc Roy Soc A,1964,282:547—558. doi: 10.1098/rspa.1964.0250
[3]	Chung Y K, Lim J S. A review of the Kelvin ship wave pattern [J].J Ship Research,1991,35(3):191—197.
[4]	Reed A M, Milgram J H. Ship wakes and their radar images[J].Annu Rev Fluid Mech,2002,34:469—502. doi: 10.1146/annurev.fluid.34.090101.190252
[5]	Cumberbatch E. Effects of viscosity on ship waves[J].J Fluid Mech, 1965,23:471—479. doi: 10.1017/S0022112065001490
[6]	Allen R F. The effects of interference and viscosity in the Kelvin ship-wave problem[J].J Fluid Mech,1968,34: 417—421. doi: 10.1017/S0022112068001989
[7]	Brard R. Viscosity, wake and ship waves[J].J Ship Research, 1970,14(4): 207—240.
[8]	Lugt H J. Local flow properties at a viscous free surface[J].Phys Fluids,1987,30(12): 3647—3652. doi: 10.1063/1.866451
[9]	Milgram J H. Theory of radar Backscatter from short waves generated by ships, with application to radar (SAR) imagery[J].J Ship Research, 1988,32(1): 54—69.
[10]	Lyden J D, Hammond R R, Lyzenga D R,et al. Synthetic aperture radar imaging of surface ship waves[J].J Geophysical Research,1988,93(C10): 12293—12303. doi: 10.1029/JC093iC10p12293
[11]	Lurye J R. Interaction of free surface waves with viscous wakes[J].Phys Fluids,1968,11(2): 261—265. doi: 10.1063/1.1691899
[12]	Lurye J R. Wave height and wave resistance in the presence of a viscous wake[J].Phys Fluids,1973,16(6): 750—760. doi: 10.1063/1.1694424
[13]	Chan A T, Chwang A T. Interaction of laminar far wake with a free surface[J].Phys Fluids,1996,8(2):421—429. doi: 10.1063/1.868796
[14]	刘敏嘉, 陶明德.在粘性流体中船行波的速度场[J].应用数学和力学, 2002,23(10):1085—1091.
[15]	Lu D Q. Free-surface waves and far wakes generated by a floating body in a viscous fluid[J].J Hydrodynamics, Ser B,2003,15(4): 10—16.
[16]	Chwang A T, Wu T Y. Hydromechanics of low-Reynolds-number flow—Part 2： Singularity method for Stokes flows[J].J Fluid Mech,1975,67:787—815. doi: 10.1017/S0022112075000614
[17]	Duffy D G.Transform Methods for Solving Partial Differential Equations[M].Florida:CRC Press,1994:116—117.
[18]	Happel J,Brenner H.Low Reynolds Number Hydrodynamics[M].Leyden: Noordhoff International Publishing,1973:79—85.
[19]	Lagerstrom P A.Laminar Flow Theory[M].Princeton: Princeton University Press, 1996,74—75.
[20]	Lighthill M J.Studies on magneto-hydrodynamic waves and other anisotropic wave motions[J].Phil Trans Roy Soc Lond A,1960,252:397—430. doi: 10.1098/rsta.1960.0010
[21]	Wen S L. An extension of Lighthill's result on asymptotic evaluation of multiple Fourier integrals[J].Intl J Eng Sci,1969,7:53—59. doi: 10.1016/0020-7225(69)90022-6

施引文献

资源附件(0)

访问统计

点击查看大图

计量

文章访问数: 2962
HTML全文浏览量: 68
PDF下载量: 696
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

自由表面与粘性尾迹的相互作用

作者简介:
卢东强(1972- ),男,福建惠安人,博士(Tel:+86-21-56338372;Fax:+86-21-36033287;E-mail:dqlu@mail.shu.edu.cn).

计量

Interaction of Viscous Wakes With a Free Surface

计量

目录

留言板

自由表面与粘性尾迹的相互作用

作者简介: 卢东强(1972- ),男,福建惠安人,博士(Tel:+86-21-56338372;Fax:+86-21-36033287;E-mail:dqlu@mail.shu.edu.cn).

计量

出版历程

Interaction of Viscous Wakes With a Free Surface

计量

出版历程

目录

作者简介:
卢东强(1972- ),男,福建惠安人,博士(Tel:+86-21-56338372;Fax:+86-21-36033287;E-mail:dqlu@mail.shu.edu.cn).