The stability of a moving cylinder in a circulation flow of an ideal incompressible fluid with constant vorticity inside a stationary outer cylinder is investigated using Lagrangian mechanics methods. The… Click to show full abstract
The stability of a moving cylinder in a circulation flow of an ideal incompressible fluid with constant vorticity inside a stationary outer cylinder is investigated using Lagrangian mechanics methods. The Lagrange function in the form of a series expansion by a small displacement of the cylinder and the stability condition in the nonlinear approximation are obtained.
               
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