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- Title
Development of Initial Disturbances in the Circulating Flow with Variable Vorticity around the Free Cylinder.
- Authors
Yudin, M. A.; Kopiev, V. F.; Chernyshev, S. A.
- Abstract
A two-dimensional system consisting of a circular cylinder placed in a circulating flow of an inviscid incompressible fluid with variable vorticity is considered. The processes in the critical layers of vortex flows (the region in which the phase velocity of disturbances coincides with the velocity of the mean flow) are investigated using the example of a problem with an exact analytical solution. Previously, for such a system, the discrete part of the spectrum was considered and described; i.e., individual natural oscillations are obtained and it is shown that, in a certain range of parameters, the system exhibits shear instability. The features of the system dynamics related to a continuous spectrum are considered. For this purpose, the initial problem is solved, and an analysis of the growth of large vorticity disturbances in the vicinity of the critical layer from a state with smooth initial conditions is made.
- Subjects
VORTEX motion; PHASE velocity; INCOMPRESSIBLE flow; INVISCID flow; FLOW velocity; SYSTEM dynamics
- Publication
Doklady Physics, 2022, Vol 67, Issue 9, p289
- ISSN
1028-3358
- Publication type
Article
- DOI
10.1134/S1028335822090142