Abstract
One of the earliest experimental and theoretical investigations of the stability of three-dimensional (3D) boundary layers was conducted by Gregory, Stuart & Walker (1955), (hereafter referred to as GSW). The boundary layer flows studied were the flow over a rotating disk, and the flow over swept wings. Using a china-clay visualisation technique they were able to demonstrate the presence of a highly regular, stationary, pattern of vortices spaced equally around the disk, or along the surface of the wing. In addition, with the aid of a microphone probe, they were able to detect travelling waves close to the surface of the disk. Stuart in GSW suggested that the instabilities could be explained in terms of the inflexional character of the effective mean velocity profile in certain directions, (the term effective mean velocity profile refers to a certain linear combination of the stream-wise and spanwise velocity components). According to his suggestion the stationary pattern was that associated with the inviscid instability of the velocity profile which had a zero at a point of inflexion. The non-stationary, or travelling wave pattern, could also be explained in terms of the inviscid instabilty of the mean flow.
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© 1996 Kluwer Academic Publishers
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Gajjar, J.S.B. (1996). On the Nonlinear Evolution of a Stationary Cross-Flow Vortex in a Fully Three-Dimensional Boundary Layer Flow. In: Duck, P.W., Hall, P. (eds) IUTAM Symposium on Nonlinear Instability and Transition in Three-Dimensional Boundary Layers. Fluid Mechanics and Its Applications, vol 35. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1700-2_30
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DOI: https://doi.org/10.1007/978-94-009-1700-2_30
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