半没入水中二维圆柱定常粘性流动问题的双参数展开方法  

Two-parameter Expansion Method in Steady Viscous Flow Past a Semi-submerged 2-D Circnlar Cylinder

作　　者：邵传平[1] 黄福华[1] 

机构地区：[1]北京大学力学系,北京100871

出　　处：《水动力学研究与进展（A辑）》1995年第2期164-172,共9页Chinese Journal of Hydrodynamics

摘　　要：本文从Navier-Stokes方程和非线性自由面形状出发,在波不破碎的前提下,研究小Re数情况下粘性与兴波的相互干扰问题。以出现在自由面条件中的无量纲量ε=(4Fr^2)/Re和Re为小参数,将流函数在物面附近和远处分别展开,然后将各阶流函数按内外匹配渐近展开的原则分别匹配,求出了零阶和一阶流函数表达式。从画出的流动图案看,有自由面存在时,即使Re数远小于1,柱前和柱后也各存在一个分离泡,分离泡的大小随ε的增大而增大,柱前分离随ε的增大而提前。Under the condition of non-breaking waves, this paper investigates the interference between viscosity and wave-making in small Re number flow based on Navier-Stokes Equation and non-linear free surface, Stream functions near thecylinder surface and in far field are expanded separately with Re and the non-dimensional quantity in free surfacecondition being taken as perturbation parameters. The inner and outer stream functions of all orders are matched separately according to the principle of approximate expansion. The zero order and first order stream functions are then obtained.The flow pattern shows two separation bubbles in front of and behind the cylinder when free surface exists even Re ≤1 The size of the separation bubbles increases with the increation of ε . The separation position moves forward with larger s .

关 键 词：摄动 船舶流体力学 粘性流动 兴波 

分 类 号：U661.1[交通运输工程—船舶及航道工程]