The onset of Taylor-Görtler vortices during impulsive spin-down to rest |
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Authors: | Min Chan Kim Chang Kyun Choi |
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Affiliation: | a Department of Chemical Engineering, Cheju National University, Cheju 690-756, Republic of Korea b School of Chemical and Biological Engineering, Seoul National University, Seoul 151-744, Republic of Korea |
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Abstract: | The onset of hydrodynamical instability induced by impulsive spin-down to rest in a cylinder containing a Newtonian fluid is analyzed by using the propagation theory. The primary transient swirl flow is laminar but for an initially high rotating speed secondary motion sets in at a certain time. It is found here that the critical Reynolds number Rec=320, below which the flow is unconditionally stable. For Re>Rec the dimensionless critical time τc to mark the onset of a fastest growing instability is presented as a function of the Reynolds number Re. Available experimental data and also predictions show that deviation of the velocity profiles from their primary ones occurs starting from a certain time τ≈4τc. This means that secondary motion is detected experimentally at this characteristic time. It seems that during τc?τ?4τc secondary motion is relatively very weak. |
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Keywords: | Taylor-Gö rtler instability Spin down Stability condition Propagation theory |
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