Boundary Layer Flow near a Cylindrical Obstacle in an Oscillating Incompressible Fluid
Boundary Layer Flow near a Cylindrical Obstacle in an Oscillating Incompressible Fluid
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DOI：
10.1121/1.1907271
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发表时间：
1954
影响因子：
2.4
通讯作者：
J. Holtsmark;I. Johnsen;T. Sikkeland;S. Skavlem
中科院分区：
文献类型：
--
作者：
J. Holtsmark;I. Johnsen;T. Sikkeland;S. Skavlem
1.本文从理论和实验两方面研究了不可压缩流体在圆柱附近的二维振荡流动，圆柱轴线垂直于振荡方向。从Navier斯托克微分方程出发，采用逐次逼近法，在适当的边界条件下求出近似解。第零近似给出了作为粘性函数的圆柱附近的修正振荡场。第一近似也给出了一个定常流，这是从一个四阶常线性微分方程的解中找到的.实验是在空气中用孔特管进行的。在垂直于圆柱轴线的平面内的速度是通过拍摄空气中的烟粒子而得到的。实验结果与理论计算结果吻合较好。并与Schlichting的相应数据作了比较，给出了一些由Hankel函数导出的G函数。
1. The flow in two dimensions of an oscillating incompressible fluid near a circular cylinder with its axis normal to the direction of oscillation, is studied theoretically and experimentally. Starting from Navier‐Stoke's differential equations the method of successive approximations has been used in order to get approximative solutions, when the appropriate boundary conditions are applied. The zeroth approximation gives the modified field of oscillation near the cylinder as a function of the viscosity. The first approximation also gives a stationary flow, which is found from the solution of an ordinary linear differential equation of 4th order.2. Experiments have been carried out in air in a Kundt's tube. The velocities in the plane normal to the axis of the cylinder have been found by photographing smoke particles in air. The experimental and theoretical results agree fairly well. Comparison with corresponding data obtained by Schlichting is also made.Some G functions, derived from Hankel functions whic...