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Development of the wake behind a circular cylinder impulsively started into rotatory and rectilinear motion. (English) Zbl 0809.76024
The work is a computational approach to analyse the temporal development of the wake behind a circular cylinder impulsively started into steady rotatory and rectilinear motion. The numerical method is an explicit finite-difference/pseudospectral technique, and a new implementation of the Biot-Savart law to integrate a velocity/vorticity formulation of the Navier-Stokes equations is presented. Numerical solutions are presented for a Reynolds number (based on the rectilinear speed) of 200 and different ratios of the rectilinear to angular speed. Several aspects of the vortex kinematics and dynamics, not revealed by earlier work, are discussed. In contrast to the classical Kármán vortex street for non- rotating cylinders, consecutive vortices can be shed from one side of the cylinder and be of the same sense.

MSC:
76D25 Wakes and jets
76U05 General theory of rotating fluids
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76M20 Finite difference methods applied to problems in fluid mechanics
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