Abstract
Asymptotic flow schemes corresponding to two branches of the solution for the neutral stability curve of a laminar boundary layer in an incompressible fluid are constructed. Two-term asymptotic solutions are obtained in the limit when the Reynolds number tends to infinity. The linear formulation of the problem is used and the flow is assumed to be two dimensional.
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H. Schlichting, Boundary Layer Theory, McGraw-Hill, New York (1968).
Chia Chiao Lin, The Theory of Hydrodynamic Stability, C.U.P. (1955).
C. C. Lin, “On the stability of two-dimensional parallel flows. Pt. 3 Stability in a viscous fluid,” Q Appl. Math.,3, 277 (1946).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 39–46, September–October, 1981.
I should like to thank O. V. Denisenko for making the numerical calculations.
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Mikhailov, V.V. Asymptotic behavior of the neutral curves of the linear stability problem for a laminar boundary layer. Fluid Dyn 16, 669–674 (1981). https://doi.org/10.1007/BF01089576
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DOI: https://doi.org/10.1007/BF01089576