Abstract
Laminar boundary layer flow over an infinite-span, finite-length flat plate is investigated in the regime of strong interaction with a hypersonic gas flow. Under the assumption that an additional condition dependent on the transverse coordinate can be imposed on the trailing edge of the plate the flow functions are expanded in power series in the vicinity of the leading edge. It is shown that these expansions include an indefinite function dependent on the transverse coordinate. The corresponding boundary value problems are formulated and solved and the eigenvalues are determined. It is established that in this case the two-dimensional boundary layer can rearrange itself into a three-dimensional boundary layer.
Similar content being viewed by others
References
V. Ya. Neiland, “Propagation of Perturbations Upstream with the Interaction between a Hypersonic Flow and a Boundary Layer,” Fluid Dynamics 5 (4), 559 (1970).
V. Ya. Neiland, V. V. Bogolepov, G. N. Dudin, and I. I. Lipatov, Asymptotic Theory of Supersonic Viscous Gas Flows (Elsevier, Amsterdam, 2008).
S. N. Brown and K. Stewartson, “A Non-Uniqueness of the Hypersonic Boundary Layer,” Quart. J. Mech. Appl.Math. 28 (1), 75 (1975).
V. S. Gorislavskii and Z. A. Stepchenkova, “Experimental Investigation of Separation Zones on a Plate in a Hypersonic Gas Flow,” Uch. Zap. TsAGI 2 (5), 1 (1971).
A. A. Kovalenko, “Investigation of Boundary Layer Separation on Strong Interaction with a Hypersonic Gas Flow,” Uch. Zap. TsAGI 5 (6), 39 (1974).
W. D. Hayes and R. F. Probstein, Hypersonic Flow Theory (Acad. Press, New York, 1959).
G. G. Chernyi, Introduction to Hypersonic Flow Theory (Acad. Press, New York, 1966).
G. N. Dudin, Delta Wings in a Viscous Hypersonic Flow (Moscow Institute of Physics and Technology, 2011) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.Ya. Neiland, 2018, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2018, No. 1, pp. 89–96.
Rights and permissions
About this article
Cite this article
Dudin, G.N., Neiland, V.Y. Generation of Three-Dimensional Disturbances in a Boundary Layer on Strong Interaction with a Hypersonic Flow. Fluid Dyn 53, 86–94 (2018). https://doi.org/10.1134/S0015462818010032
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0015462818010032