Period-doubling route to chaos for a swirling flow in an open cylindrical container with a rotating disk |
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| Authors: | D. L. Young H. J. Sheen T. Y. Hwu |
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| Affiliation: | (1) Department of Civil Engineering, National Taiwan University, Taipei, Taiwan R.O.C.;(2) Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan R.O.C. |
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| Abstract: | Conclusion The period-doubling route to chaos for a swirling vortex flow in an open cylindrical container, at an aspect ratio of 2, driven by a rotating bottom disk was recognized by using laser-Doppler velocimetry. The onset of periodic motion for the flow was found when Re was in the range between 1850 and 1900. The flow was subharmonically bifurcated into a double-period motion when Re was about 2150. When the Reynolds number was in the range from 2300 to 2400, the flow bifurcated again through the period-doubling mode. When the Reynolds number was further increased, the flow eventually showed chaotic motion. The existence of a free surface promotes the onset of periodicity, and the difference of the critical Reynolds number with and without a free surface was estimated to be about 600.This work was supported by the National Science Council of the Republic of China under grant No. NSC-82-0410-E-002-191 |
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