VIBRATIONAL FLOWS IN THE GAP BETWEEN 2 INFINITE CYLINDERS

The flow in the gap between two cylinders with the inner one subject t o high frequency vibrations is investigated. The equations for the mea n and pulsating components of hydrodynamical fields are formulated tak ing into account the pulsating transport of the mean vorticity. It is shown that in the case of oscillations of circular polarization the ma in flow is axisymmetrical. Linear and nonlinear stability of the main flow is treated numerically. It is found that without taking into acco unt the pulsating transport the problem is equivalent to the Couette-T aylor problem for two co-rotating cylinders. II is demonstrated that t he pulsating transport effect leads to a marked lowering of the stabil ity threshold and to a change of the secondary flow structure. The lim iting case of a small gap is studied analytically.