Stability of flow in a channel with a suddenly expanded part
作者:
J. Mizushima,
H. Okamoto,
H. Yamaguchi,
期刊:
Physics of Fluids
(AIP Available online 1996)
卷期:
Volume 8,
issue 11
页码: 2933-2942
ISSN:1070-6631
年代: 1996
DOI:10.1063/1.869072
出版商: AIP
数据来源: AIP
摘要:
The stability of a two‐dimensional flow in a symmetric channel with a suddenly expanded part is investigated numerically and analyzed by using the method of the nonlinear stability theory. From results of the numerical simulation, it is shown that the flow is steady, symmetric and unique at very low Reynolds numbers, while the symmetric flow loses its stability at a critical Reynolds number resulting in an appearance of asymmetric flow. The transition from the steady symmetric flow to the steady asymmetric one is found to occur due to the symmetry breaking pitchfork bifurcation when the aspect ratio, the ratio of the length of the expanded part to its width, is large. It is also found that the bifurcated flow becomes symmetric again when the Reynolds number is increased and the resultant symmetric flow loses its stability becoming periodic in time as the Reynolds number is further increased. On the other hand, when the aspect ratio is small there occurs no pitchfork bifurcation and the direct transition from the steady symmetric flow to a periodic flow occurs due to a Hopf bifurcation. The critical aspect ratio is found to be about 2.3. The critical Reynolds numbers for these bifurcations are evaluated. ©1996 American Institute of Physics.
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