Abstract
We shall consider the thin layer which occurs between two fluids flowing parallel to each other. If the centreline of the mixing layer is curved it has been shown that the situation can support centrifugal instabilities in the form of longitudinal vortices. As these perturbations develop downstream they eventually conform to an asymptotic structure and it is within this régime that we shall discuss their nonlinear evolution. The indirect effect of the vortex structure on Kelvin-Helmholtz modes is also investigated.
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References
Hall, P. 1982 On the non-linear evolution of Görtier vortices in non-parallel boundary layers. IMA J. Appl. Math. 29, 173–196.
Hall, P. 1983 The linear development of Görtier vortices in growing boundary layers. J. Fluid Mech. 130, 41–58.
Hall, P. & Lakin, W. D. 1988 The fully nonlinear development of Görtier vortices in growing boundary layers. Proc. R. Soc. Lond. A 415, 421–444 (herein referred to as HL).
Hu, F. Q., Otto, S. R. & Jackson, T. L. 1994 On the stability of a curved mixing layer. Transition, Turbulence and Combustion (eds. M. Y. Hussaini, Thomas B. Gatski & T. L. Jackson, Kluwer), Vol. 1, 107–116.
Klemp, J. B. & Acrivos, A. 1972 A note on the laminar mixing of two uniform parallel semi-infinite streams. J. Fluid Mech. 55, 25–30.
Liou, W. W. 1994 Linear instability of curved free shear layers. Phys. Fluids 6, 541–549.
Lock, R. C. 1951 The velocity distribution in the laminar boundary layer between parallel streams. Quart. J. Mech. Appl. Math. 4, 42–57.
MichaJke, A. 1964 On the inviscid instability of the hyperbolic-tangent velocity profile. J. Fluid Mech. 19, 543–556.
Otto, S. R., Jackson T. L. & Hu, F. Q. 1995 On the evolution of centrifugal instabilities within curved mixing layers. Submitted to J. Fluid Mech.
Plesniak, M. W., Mehta, R. D. & Johnston, J. P. 1994 Curved two-stream turbulent mixing layers: three-dimensional structure and streamwise evolution. J. Fluid Mech. 270, 1–50.
Ting, L. 1959 On the mixing of two parallel streams. J. Math. Phys. 28, 153–165.
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© 1996 Kluwer Academic Publishers
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Seddougui, S.O., Otto, S.R. (1996). On The Nonlinear Evolution of Gortler Vortices in Curved Mixing Layers. 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_10
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DOI: https://doi.org/10.1007/978-94-009-1700-2_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7261-8
Online ISBN: 978-94-009-1700-2
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