具表面张力(I.Bond数大于1/3)的流体流过地形的共振流动  

Resonant Flow of a Fluid with Surface Tension over a Topography I. Bond Number Larger tnan 1/3

作　　者：朱勇[1] 

机构地区：[1]上海大学

出　　处：《水动力学研究与进展（A辑）》1998年第3期272-279,共8页Chinese Journal of Hydrodynamics

基　　金：国家教委;上海市教委科研基金资助的课题;国家自然科学基金项目资助

摘　　要：本文讨论具表面张力作用(Bond数大于1/3)下不可压缩无粘流体流过地形障碍物的共振流动.采用摄动方法,本文导出了一个新的方程:具负色散的fkdv方程.数值结果表明该情形可激发出下游下凹孤立波串,这个结果有待进一步的实验验证.Capillary effect sometimes plays an important role in low gravity case, thin film flow and flow with large curvature. In this paper, the nonlinear capillary-gravity waves generated by the resonant flow of an incompressible, inviscid fluid with surface tension for the Bond number being larger than 1/3 over a topography are investigated analytically and numerically. By using a perturbation method, a forced KdV equation with nega-tive dispersion term is derived. The pesudo-spectral numerical solutions of the equation shows that a typical solu-tion of the present forced KdV equation consists of a train of concave solitary-like waves which propagate down-ward , a convex one near the topography and a train of upstream dispersive waves, which is different from the traditional results for fKdV equation.

关 键 词：共振流动 非线性波 表面张力 fkdv方程 

分 类 号：O353[理学—流体力学]