Steady ship waves due to a simple source in a viscous fluid
This paper is to revisit the steady ship waves due to a simple mass source submerged inan incompressible uid of infinite depth, with a view of considering the effect of viscosity on the free-surface waves generated. The steady Oseen equations are taken as the governing equation for viscousflows. The kinematic and dynamic conditions on the free-surface are linearized for small-amplitudewaves. The free-surface elevation is given by a double Fourier integral, which involves a genericamplitude function, a complex dispersion function and an elementary phase function. With the aidof two kinds of expansion of the phase function and Lighthills two-stage scheme, the asymptoticrepresentations of the far-field wave profiles are explicitly derived for two regions as the azimuth angleis less than, and close to, the maximal angle of the V-wedge for Kelvin ship waves. A combination of the Stokes and Scorer methods of stationary phase gives uniformly valid results over the panoramicregion. The effect of viscosity on the classical Kelvin ship waves is analytically expressed.
ship waves a simple source viscosity methods of stationary phase
D.Q.Lu X.B.Chen A.T.Chwang
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072,China Research Department, Bureau Veritas, 17 bis Place des Re ets, 92077 Paris La D′efense 2, France Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong,China
国际会议
The Fifth International Conference on Fluid Mechanics(第五届国际流体力学会议)
上海
英文
2007-08-15（万方平台首次上网日期，不代表论文的发表时间）