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Thermophysics and Aeromechanics

2009 year, number 3

Vorticity waves in problems of hydrodynamic stability

M.N. Zakharenkov1
1Zhukovsky TsAGI Petrovsky Bryansk State University
Keywords: vorticity, vortex waves, vortex street
Pages: 411-417

Abstract

The known problem of flow transition near a circular cylinder at Re = 40 from a symmetrical form to the Karman vortex street can be considered as the problem of vortex wave development and intensification. Development of three bundles of vortex waves of low intensity is observed in a wake of a cylinder; these bundles are easily visualized as the structures of relative vorticity = Ω(t1) − Ω(t0): difference of vorticity Ω at two time moments, t0 being fixed. In the field of the alternating structure of quadrupoles is characterized by linear parameter l = h/d: the ratio of the width of the central bundle of vortex waves to the distance between the centers of quadrupoles of a "single sign". When l = 0.281 is achieved, which coincides with the value of the same parameter of a stable Karman street, the transition from symmetrical streamlining by viscous incompressible liquid to the vortex street occurs.