Abstract
In studies devoted to the theoretical and experimental investigation of longitudinal flow of a viscous fluid past corner regions, a corner formed by the intersection of two planes is usually considered [1–3]. In contrast, the present paper is concerned with the flow in the neighborhood of the line of intersection of a plane and a concave cylindrical surface (see Fig. 1). The asymptotic behavior of the Navier-Stokes equations at large Re is investigated for such a flow. Estimates are obtained for the velocity and characteristic scales of the flow. It is shown that curvature of one of the surfaces qualitatively changes the pattern of the longitudinal flow of a viscous fluid past a corner. The development of a three-dimensional boundary layer on a plane in the domain of influence of a concave cylindrical surface is considered.
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L. G. Loitsyanskii, Laminar Boundary Layers [in Russian], Fizmatgiz, Moscow (1962).
M. Zamir and A. D. Young, “Experimental investigation of the boundary layer in a streammise corner,” Aeronaut. Q.,21, No. 4 (1970).
L. G. Loitsyanskii, Mechanics of Liquids and Gases, Pergamon Press, Oxford (1966).
N. M. Belyanin and E. Yu. Shal'man, “Laminar boundary layer in a swirling flow,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1 (1976).
Langston, Hayes, and Hooper, “Three-dimensional flow in a turbine cascade,” Trans, Am. Soc. Mech. Eng. Ser. A, J. Eng. Power, No. 1 (1977).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 160–165, March–April, 1981.
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Gurevich, Y.G. Boundary layer in the neighborhood of the intersection of a concave cylindrical surface and a plane. Fluid Dyn 16, 285–289 (1981). https://doi.org/10.1007/BF01090362
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DOI: https://doi.org/10.1007/BF01090362