Accession Number : ADA262894


Title :   On the Initial Stages of Vortex Wave Interactions in Highly Curved Boundary Layer Flows


Descriptive Note : Contractor rept.


Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA


Personal Author(s) : Hall, Philip


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a262894.pdf


Report Date : Feb 1993


Pagination or Media Count : 33


Abstract : The nonlinear interaction equations describing vortex-Rayleigh wave interactions in highly curved boundary layers are derived. These equations describe a strongly nonlinear interaction between an inviscid wave system and a streamwise vortex. The coupling between the two structures is quite different than that found by Hall and Smith (1991) in the absence of wall curvature. Here the vortex is forced over a finite region of the flow rather than in the critical layer associated with the wave system. When the interaction takes place the wave system remains locally neutral as it moves downstream and it's self interaction drives a vortex field of the same magnitude as that driven by the wall curvature. This modification of the mean state then alters the wave properties and forces the wave amplitude to adjust itself in order that the wave frequency is constant. Solutions of the interaction equations are found for the initial stages of the interaction in the case when the wave amplitude is initially small. Our analysis suggests that finite amplitude disturbances can only exist when the vortex field is finite at the initial position where the interaction is stimulated.... Vortex wave interactions.


Descriptors :   *VORTICES , *RAYLEIGH WAVES , *BOUNDARY LAYER FLOW , FREQUENCY , INTERACTIONS , CURVATURE , FLOW , AMPLITUDE , INVISCID FLOW , MEAN , WALLS , STRUCTURES , BOUNDARY LAYER


Subject Categories : Fluid Mechanics


Distribution Statement : APPROVED FOR PUBLIC RELEASE