On the solution of Stokes equations for plane boundaries

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• 作者：Y. Qin ; R. Sun
• 关键词：Stokes flow ; General solution ; Harmonics
• 刊名：Acta Mechanica Sinica
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：33
• 期：1
• 页码：62-64
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics; Classical and Continuum Physics; Engineering Fluid Dynamics; Computational Intelligence;
• 出版者：The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of
• ISSN：1614-3116
• 卷排序：33

文摘

In a recent paper (Li et al., Acta Mech. Sin. 31, 32–44, 2015), the authors claimed that the general solution of steady Stokes flows can be compactly expressed using only two harmonic functions. They present two cases of a flat plate translating through a viscous fluid. The present paper shows that such a two-harmonic solution does not describe the rotation of a circular plate in an unbounded fluid and thus confirms that at least three independent harmonics are required to express the general solution of Stokes equations.