Abstract:
The purpose of the work is the revealing and the researching of peculiarities of an average in time rotational motion of a viscous liquid which is bordering with solid bodies (curvilinear walls) under periodic in time influences which are characterized by the presence or the absence of a predominant direction in space. Methods. The analytic investigational methods for boundary problems for Navier–Stokes and continuity equations are used that are the method of perturbations (the method of a decomposition by degrees of a small parameter), the method of Fourier, an averaging. Results. A new problem on the motion of a viscous liquid is formulated and solved. New hydro-mechanical effects are revealed. Conclusion. The fulfilled investigation is a continuation of previous investigations of non-trivial dynamics of hydro-mechanical systems under periodic influences. In particular the work is directed to the determination of the range of possibilities to create quality changes of a hydro-mechanical systems dynamics by periodic influences. The obtained results can be used in a scientific researching of perspective approaches to the solving actual applied and fundamental problems.
Keywords:viscous liquid, periodic in time influences, predominant direction in space, effects of rotational motion
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