Stability of high Reynolds number flow past a circular aperture

Author(s):  
Sheryl M. Grace ◽  
T. H. Wood ◽  
M. S. Howe

This paper examines the theory of the unsteady motion caused by fluctuations in the driving pressure of a high Reynolds number mean flow through a circular aperture in a thin rigid plate. A theoretical model is proposed which is amenable to exact analytical treatment, and involves the shedding of vorticity from the rim of the aperture. The theory determines the dependence of the Rayleigh conductivity of the aperture on the Strouhal number, and provides quantitative estimates for the rate of dissipation of large scale ordered structures as a result of the generation of turbulence at the apertures in a perforated liner. The limit of zero Strouhal number yields a description of steady high Reynolds number flow, the contraction ratio of the emerging jet being predicted to be equal to the minimum theoretical value of ½. Application is made to the problem of sound trans­mission through a uniformly perforated screen in the presence of a low Mach number bias flow.


2011 ◽  
Vol 77 (775) ◽  
pp. 614-627
Author(s):  
Katsuya HIRATA ◽  
Yasuhiro SAKATA ◽  
Shoji YAJIMA ◽  
Hiromu YAMAZAKI ◽  
Jiro FUNAKI

AIP Advances ◽  
2020 ◽  
Vol 10 (5) ◽  
pp. 055104
Author(s):  
Wei Chen ◽  
Chang-Kyu Rheem ◽  
Yuanzhou Zheng ◽  
Atilla Incecik ◽  
Yongshui Lin ◽  
...  

2019 ◽  
Vol 190 ◽  
pp. 106450
Author(s):  
Yi Jin ◽  
Zhongyu Cheng ◽  
Xingsi Han ◽  
Junkui Mao ◽  
Feng Jin

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