Key points are not available for this paper at this time.
To describe the pattern formation just above the first instability of the rotating Couette-Taylor system in the presence of an externally imposed axial through-flow, an amplitude equation has been derived for the case of a stationary outer cylinder. All linear and nonlinear coefficients of this complex Ginzburg-Landau equation have been calculated numerically and are expressed for a wide range of radius ratios as a function of through-flow strength for small Reynolds numbers. A shooting method has been used to obtain the critical properties of the system. Also, the boundary of the convectively unstable regime has been determined.
Recktenwald et al. (Wed,) studied this question.