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The wake of falling disks at low Reynolds numbers
Alternative TitleThe wake of falling disks at low Reynolds numbers
Zhong HongJie1; Lee CunBiao2
2012
Source PublicationACTA MECHANICA SINICA
ISSN0567-7718
Volume28Issue:2Pages:367-371
AbstractWe visualized the wake structure of circular disks falling vertically in quiescent water. The evolution of the wake was shown to be similar to the flow patterns behind a fixed disk. The Reynolds number, Re = Ud/nu, is in the range of 40 - 200. With the ascension of Reynolds numbers, a regular bifurcation occurred at the first critical Reynolds number Re-c1, leading to a transition from an axisymmetric wake structure to a plane symmetric one; A Hopf bifurcation took place at the second critical Reynolds number Re-c2, as the wake structure became unsteady. Plane symmetry of the wake structure was first lost as periodic vortex shedding appeared, but recovered at higher Reynolds number. The difference between the two critical Reynolds numbers was found to be shape-dependent, as we compared our results for thin discs with those for other falling bodies, such as spheres and cones. This observation could be understood in terms of the instability mechanism of the vortical structure.
Other AbstractWe visualized the wake structure of circular disks falling vertically in quiescent water.The evolution of the wake was shown to be similar to the flow patterns behind a fixed disk.The Reynolds number,Re = Ud/ν,is in the range of 40 200.With the ascension of Reynolds numbers,a regular bifurcation occurred at the first critical Reynolds number Re c 1,leading to a transition from an axisymmetric wake structure to a plane symmetric one;A Hopf bifurcation took place at the second critical Reynolds number Re c 2,as the wake structure became unsteady.Plane symmetry of the wake structure was first lost as periodic vortex shedding appeared,but recovered at higher Reynolds number.The difference between the two critical Reynolds numbers was found to be shape-dependent,as we compared our results for thin discs with those for other falling bodies,such as spheres and cones.This observation could be understood in terms of the instability mechanism of the vortical structure.
KeywordSPHERE TRANSITION STEADY FLOW INSTABILITY DYNAMICS BODIES Flow visualization Transition Wake
Indexed ByCSCD
Language英语
Funding Project[National Natural Science Fundation of China] ; [National Climb-B Plan] ; [National Foundation for Distinguished Young Scholar of China] ; [Science Fund for Creative Research Groups]
CSCD IDCSCD:4535459
Citation statistics
Cited Times:2[CSCD]   [CSCD Record]
Document Type期刊论文
Identifierhttp://ir.imr.ac.cn/handle/321006/157325
Collection中国科学院金属研究所
Affiliation1.中国科学院金属研究所
2.北京大学
Recommended Citation
GB/T 7714
Zhong HongJie,Lee CunBiao. The wake of falling disks at low Reynolds numbers[J]. ACTA MECHANICA SINICA,2012,28(2):367-371.
APA Zhong HongJie,&Lee CunBiao.(2012).The wake of falling disks at low Reynolds numbers.ACTA MECHANICA SINICA,28(2),367-371.
MLA Zhong HongJie,et al."The wake of falling disks at low Reynolds numbers".ACTA MECHANICA SINICA 28.2(2012):367-371.
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