Concerning the Interaction of Non-stationary Cross-flow Vortices in a Three-dimensional Boundary Layer
Author : Andrew P. Bassom
Publisher :
Page : 44 pages
File Size : 25,11 MB
Release : 1990
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Author : Andrew P. Bassom
Publisher :
Page : 44 pages
File Size : 25,11 MB
Release : 1990
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Author : National Aeronautics and Space Administration (NASA)
Publisher : Createspace Independent Publishing Platform
Page : 36 pages
File Size : 37,94 MB
Release : 2018-07-09
Category :
ISBN : 9781722418564
The nonlinear evolution of long wavelength non-stationary cross-flow vortices in a compressible boundary layer is investigated and the work extends that of Gajjar (1994) to flows involving multiple critical layers. The basic flow profile considered in this paper is that appropriate for a fully three-dimensional boundary layer with O(1) Mach number and with wall heating or cooling. The governing equations for the evolution of the cross-flow vortex are obtained and some special cases are discussed. One special case includes linear theory where exact analytic expressions for the growth rate of the vortices are obtained. Another special case is a generalization of the Bassom & Gajjar (1988) results for neutral waves to compressible flows. The viscous correction to the growth rate is derived and it is shown how the unsteady nonlinear critical layer structure merges with that for a Haberman type of viscous critical layer. Gajjar, J. S. B. Unspecified Center NCC3-370; RTOP 505-90-5K...
Author : J. S. B. Gajjar
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Page : 42 pages
File Size : 40,67 MB
Release : 1995
Category : Boundary layer
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Author :
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Page : 38 pages
File Size : 23,58 MB
Release : 1995
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Author : Alex John Amos
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Page : pages
File Size : 41,99 MB
Release : 2017
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Author :
Publisher :
Page : 704 pages
File Size : 49,30 MB
Release : 1995
Category : Aeronautics
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Author : Erik Janke
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Page : 28 pages
File Size : 31,54 MB
Release : 1999
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Author : Dominic A. R. Davis
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Page : 30 pages
File Size : 31,35 MB
Release : 1993
Category : Eddies
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Author : National Aeronautics and Space Administration (NASA)
Publisher : Createspace Independent Publishing Platform
Page : 30 pages
File Size : 48,16 MB
Release : 2018-07-09
Category :
ISBN : 9781722451806
The instability of an incompressible three-dimensional boundary layer (that is, one with cross-flow) is considered theoretically and computationally in the context of vortex/wave interactions. Specifically the work centers on two low amplitude, lower-branch Tollmien-Schlichting waves which mutually interact to induce a weak longitudinal vortex flow; the vortex motion, in turn, gives rise to significant wave-modulation via wall-shear forcing. The characteristic Reynolds number is taken as a large parameter and, as a consequence, the waves' and the vortex motion are governed primarily by triple-deck theory. The nonlinear interaction is captured by a viscous partial-differential system for the vortex coupled with a pair of amplitude equations for each wave pressure. Three distinct possibilities were found to emerge for the nonlinear behavior of the flow solution downstream - an algebraic finite-distance singularity, far downstream saturation or far-downstream wave-decay (leaving pure vortex flow) - depending on the input conditions, the wave angles, and the size of the cross-flow. Davis, Dominic A. R. and Smith, Frank T. Glenn Research Center NCC3-233; RTOP 505-62-21...
Author : Institute for Computer Applications in Science and Engineering
Publisher :
Page : 60 pages
File Size : 14,88 MB
Release : 1989
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