Delaying transition in Taylor–Couette flow with axial motion of the inner cylinder
AREL Y. WEISBERG a1 , IOANNIS G. KEVREKIDIS a2 and ALEXANDER J. SMITS a1
a1 Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544-0710, USA
a2 Department of Chemical Engineering, Princeton University, Princeton, NJ 08544, USA
Periodic axial motion of the inner cylinder in Taylor–Couette flow is used to delay transition to Taylor vortices. The outer cylinder is fixed. The marginal stability diagram of Taylor–Couette flow with simultaneous 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 number are found. The discrepancies are attributed to essential differences between the base flow in the open system considered by Hu & Kelly, where mass is conserved over one period of oscillation, and the base flow in the enclosed experimental apparatus, where mass is conserved at all sections at all times.(Received December 16 1996)
(Revised May 19 1997)
Present address: SciTec, Inc., 100 Wall St., Princeton NJ 08540, USA.