Ay. Weisberg et al., DELAYING TRANSITION IN TAYLOR-COUETTE FLOW WITH AXIAL MOTION OF THE INNER CYLINDER, Journal of Fluid Mechanics, 348, 1997, pp. 141-151
Periodic axial motion of the inner cylinder in Taylor-Couette flow is
used to delay transition to Taylor vortices. The outer cylinder is fix
ed. The marginal stability diagram of Taylor-Couette flow with simulta
neous periodic axial motion of the inner cylinder is determined using
flow visualization. For the range of parameters studied, the degree of
enhanced stability is found to be greater than that predicted by Hu &
Kelly (1995), and differences in the scaling with axial Reynolds numb
er are found. The discrepancies are attributed to essential difference
s between the base flow in the open system considered by Hu & Kelly, w
here mass is conserved over one period of oscillation, and the base fl
ow in the enclosed experimental apparatus, where mass is conserved at
all sections at all times.