Acta Mechanica Sinica

, Volume 33, Issue 1, pp 62–64 | Cite as

On the solution of Stokes equations for plane boundaries



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.


Stokes flow General solution Harmonics 



The project was supported by the National Natural Science Foundation of China (Grant 11372186) and the Specialized Research Fund for the Doctoral Program of Higher Education (Grant 20130073110059).


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of Engineering MechanicsShanghai Jiao Tong UniversityShanghaiChina

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