Abstract
The onset of Taylor-Görtler instability induced by an impulsively started rotating cylinder with constant shear stress was analyzed by using propagation theory based on linear theory and momentary instability concept. It is well-known that the primary transient Couette flow is laminar but secondary motion sets in when the inner cylinder velocity exceeds a certain critical value. The dimensionless critical time τ c to mark the onset of instability is presented here as a function of the modified Taylor number T. For the deep-pool case of small τ, since the inner cylinder velocity increases as V i ∝√t in the present impulsive shear system, the present system is more stable than impulsive started case (V i =constant). Based on the present τ c and the Foster’s [1969] comment, the manifest stability guideline is suggested.
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Kim, M.C., Choi, C.K. The onset of Taylor-Görtler vortices in the time-dependent Couette flow induced by an impulsively imposed shear stress. Korean J. Chem. Eng. 23, 874–880 (2006). https://doi.org/10.1007/s11814-006-0002-6
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DOI: https://doi.org/10.1007/s11814-006-0002-6