Abstract
A description of steady spatially unstable (i.e., intensifying downstream) vortices is obtained for large characteristic Reynolds and Görtler numbers. This analysis makes it possible to investigate on a rational basis the effect of viscosity and the nonparallelism of the boundary layer on the development of centrifugal flow instability. A complete investigation of the unstable Görtler vortex system establishes the relation between the problem in question and short wave neutral branch theory [5, 6], as well as the theory of longitudinal-transverse interaction between the boundary layer and the external flow near a curved surface [10, 11]. In the case of a concave surface the latter describes one of the characteristic unstable Görtler vortex regimes.
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 32–41, January–February, 1990.
The author is grateful to A. I. Ruban for his constant interest in the work.
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Timoshin, S.N. Asymptotic analysis of a spatially unstable Görtler vortex spectrum. Fluid Dyn 25, 25–33 (1990). https://doi.org/10.1007/BF01051293
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DOI: https://doi.org/10.1007/BF01051293