Analytical solutions for two-dimensional Stokes flow singularities in a no-slip wedge of arbitrary angle
Analytical solutions for two-dimensional Stokes flow singularities in a no-slip wedge of arbitrary angle
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任意角度无滑移楔块中二维斯托克斯流奇点的解析解
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
S. Brzezicki
中科院分区：
文献类型：
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作者：
D. Crowdy;S. Brzezicki
提出了一种求任意角度楔形中斯托克斯流的基本奇异点所产生的流动的解析方法。具体地说，我们求解了由点应力奇点产生的流函数的双调和方程，并满足楔形两壁面上的无滑移边界条件。这种方法很容易适用于任何其他奇点类型，它充分考虑了楔形角处产生的任何超越奇点。该方法也适用于弹性固体的平面应变/应力问题，其中双调和方程也支配着Airy应力函数。
An analytical method to find the flow generated by the basic singularities of Stokes flow in a wedge of arbitrary angle is presented. Specifically, we solve a biharmonic equation for the stream function of the flow generated by a point stresslet singularity and satisfying no-slip boundary conditions on the two walls of the wedge. The method, which is readily adapted to any other singularity type, takes full account of any transcendental singularities arising at the corner of the wedge. The approach is also applicable to problems of plane strain/stress of an elastic solid where the biharmonic equation also governs the Airy stress function.
跑步游泳运动员在二维角附近的应力渐进：流体动力学束缚态
DOI：
10.1098/rspa.2012.0237
发表时间：
2012
期刊：
Mathematical, Physical and Engineering Sciences
影响因子：
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作者：
Davis A
通讯作者：
Davis A