Hydrodynamic Instability of Separated Viscous Flow around a Circular Cylinder / Aleksyuk A.I., Shkadova V.P., Shkadov V.Ya. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. ? 5. P. 51-57 [Moscow Univ. Mech. Bulletin. Vol. 65, No 5, 2010. P. 114-119].

A uniform viscous flow around a circular cylinder is studied numerically in the Reynolds number range from 0 to 500. It is shown that the existence and the basic properties of self-oscillating regimes are specified by the evolution of their hydrodynamic instability. It is found that the vortex formation in a near wake is associated with the separation zone dynamics in the main flow. The values of critical Reynolds numbers for the four successive bifurcations of the self-oscillating regimes of flow are obtained. An interpretation of experimental data on the vortices in the near wake is discussed.

Key words: viscous liquid, Navier-Stokes equations, circular cylinder, vorticity, stream function, hydrodynamic stability, aerodynamic wake.