Instability of a cylinder in the circulation flow of incompressible ideal fluid. Issue 2 (2017)

• Record Type: Journal Article
• Authors: Kopiev, V.F.; Chernyshev, S.A.; Yudin, M.A.
• Is Part Of: Journal of applied mathematics and mechanics. Volume 81:Issue 2(2017)
• Page Start: 148
• Page End: 156
• Publication Date: 2017
• Subjects: Mechanics, Analytic -- Periodicals; Mechanics, Applied -- Periodicals; Applied mathematics -- Periodicals; Mécanique analytique -- Périodiques; Mécanique appliquée -- Périodiques; 531.01515
• DOI: 10.1016/j.jappmathmech.2017.08.007
• Languages: English
• ISSNs: 0021-8928

Abstract

Abstract: Within the framework of two-dimensional Euler equations, the stability is investigated of a system consisting of an inner unfastened round cylinder, an incompressible fluid flow around this cylinder with circular streamlines, and an outer fastened cylinder (vessel). An equation is obtained for the natural frequencies with different mean flows between the cylinders. Accurate solutions of this equation are derived and an analysis of these solutions is given. An energetic investigation of the loss of stability in the system is carried out.