Abstract
It has been shown experimentally that curved mixing layers can be more unstable than their corresponding planar counterparts. We shall describe the effect that the curvature of the centreline of the mixing layer has on the stability of disturbances present in the problem. We intend to model the flow in this layer using a hyperbolic tangent. Two distinct types of modes are discussed; two dimensional waves satisfying Rayleigh’s equation and longitudinal vortices governed by the inviscid Taylor/Görtler vortex equation. Some comment will also be made regarding three dimensional Rayleigh modes.
Research was supported by the National Aeronautics and Space Administration under NASA contract No. NAS1-19480 while the authors were in residence at the Institute for Computer Applications in Science and Engineering (ICASE), NASA Langley Research Center, Hampton, VA 23681-0001, and while attending the ICASE-NASA Langley Research Center workshop on Transition, Turbulence and Combustion, held June 7-July 2, 1993.
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References
Denier, J.P., Hall, P. & Seddougui, S. O. 1991 “On the receptivity problem for Görtler vortices: vortex motion induced by wall roughness” Phil. Trans. Roy. Soc. Loud. A335,51
Drazin, P.G. & Reid, W.H. 1979 “Hydrodynamic Instability” Cambridge University Press
Hall, P. 1983 “The linear development of Görtler vortices in growing boundary layers” J. Fluid Mech 130,41
LeBoeuf, R. L. 1991 “Progress toward identification of streamwise vorticity meander in a plane mixing layer” Center for Turbulence, Annual Research Briefs. 349
Lock, R. C. 1951 “The velocity distributionin the laminar boundary layer between parallel streams” Quart. J. Mech. 4,42
Margolis, D. P. & Lumley, J. L. 1965 “Curved Turbulent Mixing Layer” Phys. Fluids, 8, 1775
Karasso, P. S. & Mungal, M. G. 1990 “An experimental study of curved mixing layers: flow visualization using volume rendering” Center for Turbulence, Annual Research Briefs, 195
Karasso, P. S. & Mungal, M. G. 1991 “Mixing measurements of straight and curved shear layers” Center for Turbulence, Annual Research Briefs, 343
Michalke, A. 1964 “On the inviscid instability of the hyperbolic-tangent velocity profile” J. Fluid Mech. 19, 543
Michalke, A. 1965 “On spatially growing disturbances in an inviscid shear layer” J. Fluid Mech. 23, 521
Plesniak, M. W. & Johnston, J. P. 1989 “Reynolds stress evolution in curved two-stream turbulent mixing layers” Turbulent Shear Flows, 6.3.1
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© 1994 Springer Science+Business Media Dordrecht
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Hu, F.Q., Otto, S.R., Jackson, T.L. (1994). On the Stability of a Curved Mixing Layer. In: Hussaini, M.Y., Gatski, T.B., Jackson, T.L. (eds) Transition, Turbulence and Combustion. ICASE/LaRC Interdisciplinary Series in Science and Engineering, vol 2&3. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1032-7_9
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DOI: https://doi.org/10.1007/978-94-011-1032-7_9
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