The structure of a jet in cross flow at low velocity ratios

2004 ◽  
Vol 16 (6) ◽  
pp. 2067-2087 ◽  
Author(s):  
Shridhar Gopalan ◽  
Bruce M. Abraham ◽  
Joseph Katz
2020 ◽  
Vol 889 ◽  
Author(s):  
Guillaume Chauvat ◽  
Adam Peplinski ◽  
Dan S. Henningson ◽  
Ardeshir Hanifi


2012 ◽  
Vol 696 ◽  
pp. 94-121 ◽  
Author(s):  
Miloš Ilak ◽  
Philipp Schlatter ◽  
Shervin Bagheri ◽  
Dan S. Henningson

AbstractWe study direct numerical simulations (DNS) of a jet in cross-flow at low values of the jet-to-cross-flow velocity ratio$R$. We observe that, as the ratio$R$increases, the flow evolves from simple periodic vortex shedding (a limit cycle) to more complicated quasi-periodic behaviour, before finally becoming turbulent, as seen in the simulation of Bagheriet al. (J. Fluid. Mech., vol. 624, 2009b, pp. 33–44). The value of$R$at which the first bifurcation occurs for our numerical set-up is found, and shedding of hairpin vortices characteristic of a shear layer instability is observed. We focus on this first bifurcation, and find that a global linear stability analysis predicts well the frequency and initial growth rate of the nonlinear DNS at the critical value of$R$and that good qualitative predictions about the dynamics can still be made at slightly higher values of$R$where multiple unstable eigenmodes are present. In addition, we compute the adjoint global eigenmodes, and find that the overlap of the direct and the adjoint eigenmode, also known as a ‘wavemaker’, provides evidence that the source of the first instability lies in the shear layer just downstream of the jet.


Author(s):  
Kalyana C. Gottiparthi ◽  
Ramanan Sankaran ◽  
Anthony M. Ruiz ◽  
Guilhem Lacaze ◽  
Joseph C. Oefelein

2001 ◽  
Vol 39 (2) ◽  
pp. 155-161 ◽  
Author(s):  
Meilan Qi ◽  
Zhicong Chen ◽  
Renshou Fu

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