On the linearized hydrodynamical equations in two dimensions
On the linearized hydrodynamical equations in two dimensions
复制标题
二维线性化流体动力学方程
DOI：
10.1007/bf00281419
复制
发表时间：
1967
影响因子：
2.5
通讯作者：
Donald R. Smith
中科院分区：
文献类型：
--
作者：
R. Finn;Donald R. Smith
(0.1)V.w-0，它描述了一种物理上可接受的运动附着在圆柱体的外表面上，并在无穷远处均匀分布[1]，他的“流体动力学悖论”引起了许多作者的注意，他们对此有不同程度的澄清和困惑。我们特别引用了Chang&Finn的一项贡献[2]，其中发展了尖锐的标准，并根据障碍物上的流体作用力来解释“悖论”。我们目前的工作建立在该观点的一个变体上，这在我们看来简单而自然，但显然没有引起注意。我们打算通过在奇异摄动理论的背景下研究这一问题，从Osee方程[3]开始，得到与Stokes悖论相对应的结果。
(0.1) V. w--0 which describes a physically acceptable motion adhering to the outer surface of a circular cylinder and uniform at infinity [1], his" hydrodynamical paradox" has merited the attention of a number of authors, who have favored it with clarification and confusion in varying degrees. We cite particularly a contribution by CHANG & FiNN [2], in which sharp criteria are developed and in which the" paradox" is interpreted in terms of the fluid forces on the obstacle. We base the present work on a variant of that point of view, which seems to us simple and natural but which has apparently escaped notice. We intend to obtain a counterpart of the Stokes paradox by studying the problem in the context of singular perturbation theory, starting with the Oseen equations [3]