DEVELOPMENT OF LINEAR STABILITY ANALYSIS METHOD OF COMPRESSIBLE VORTEX FLOW REFLECTING VISCOUS EFFECTS

2020 ◽  
Vol 25 (3) ◽  
pp. 23-33
Author(s):  
H.J. Lee ◽  
S.J. Oh ◽  
D.H. Park
2008 ◽  
Vol 130 (5) ◽  
Author(s):  
Roger E. Khayat

Linear stability analysis of fully developed axisymmetric steady spatially modulated Taylor–Couette flow (TCF) is carried out in the narrow-gap limit. In contrast to unforced TCF, only the vortical base flow is possible in the forced case. It is found that the forcing tends to generally destabilize the base flow, especially around the critical point corresponding to unforced flow. Both the critical Taylor number and wave number are found to essentially linearly decrease with modulation amplitude.


2014 ◽  
Vol 757 ◽  
pp. 179-207 ◽  
Author(s):  
Audrey P. Maertens ◽  
Michael S. Triantafyllou

AbstractInspired by the function of the lateral line in aquatic animals, we study the shape identification of a stationary cylinder through pressure measurements made by sensors located on the surface of a steadily moving foil, modelling a fish gliding in close proximity to an object. Comparing experimental results, potential flow predictions and viscous simulations, we first show that the pressure in the boundary layer of the foil is significantly affected by unsteady viscous effects, especially in the posterior half of the foil. Therefore, even after the effects of the boundary layer thickness are accounted for, potential flow predictions are inaccurate. Subsequently, we show that the spatial features of the unsteady patterns developing when the foil is moving near a cylinder can be predicted accurately through linear stability analysis of the average boundary layer velocity profile under open water conditions. Because these unsteady patterns result from amplification of the potential flow-like disturbance caused in the front part of the foil, they are specific to the cylinder that generated them and could be used to identify its shape. We develop and demonstrate a methodology to calculate the unsteady pressure based on combining potential flow predictions with results from linear stability analysis of the boundary layer. The findings can be useful for object identification in underwater vehicles, and support the intriguing possibility that the significant viscous effects caused by nearby bodies on the fish boundary layer, far from preventing detection, could actually be used by animals to identify objects.


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