平头圆柱体垂直出水粘性流动的数值模拟  

Numerical Simulation of The Viscous Flow around a Flat-nosed Cylinder during its Vertical Water Exit

作　　者：蔡军辉[1] 何友声[2] 叶取源[2] 

机构地区：[1]上海机械学院 [2]上海交通大学

出　　处：《水动力学研究与进展（A辑）》1990年第2期115-122,共8页Chinese Journal of Hydrodynamics

摘　　要：本文用MAC方法求解平头圆柱体垂直出水的粘性流场。液面形状由运动学条件确定。计算结果给出了不同出水高度下的流动图谱、液面形状、流场速度分布、柱体表面压力及粘附在柱体上并被带出水面的流体体积。计算结果还显示,在柱体头部右侧区域存在一个顺时针旋转的旋涡,当柱体不断向上运动时,该旋涡离开物体向外移动,并逐渐消散。The potential flow model is usually applied to the water exit problem, but can not simulate the phenomenon that a thin film is entrained when the body penetrates the interface. In this paper, we take the viscousity into account and use the MAC method, in which the finite difference scheme is employed to solve the N-S equation under the no-slip wall condition and the free surface dynamical condition, to simulate numerically the viscous flow around a flat-nosed cylinder during its vertical water exit. The free surface shape is determined by the free surface kinematical condition. The flow pattern, the free surface shape, the pressure on the body surface, the velocity distribution and the volume of entrained fluid are presented for various stages during the water exit of the body.Comparisons are made between computational results under different exit velocities as well. Of particular interests is that there has been at first a vortex near the underside of the corner of the flat nose and then it moves away from the body and dissipates gradually in the flow.

关 键 词：N-S方程 出水 数值解 MAC方法 

分 类 号：O357.1[理学—流体力学]