Abstract
The finite difference method is used to investigate laminar and turbulent boundary layers on a flat surface in the case of circular streamlines of the exterior flow. It is shown that when the flow is turned through large angles the behavior of the boundary layer over a finite circular sector differs qualitatively from an infinite sector. A study is made of the influence of the Mach number, the angle through which the flow is turned, and the wall temperature on the secondary flows in the boundary layer.
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L. G. Naumova, “Three-dimensional laminar boundary layer on an infinite circular sector,” Prikl. Mat. Mekh.,21, 478 (1975).
G. Yu. Stepanov, Hydrodynamics of Cascades in Turbomachines [in Russian], Moscow (1962), p. 512.
V. S. Kaplan, “Conditions for the existence of invariant solutions of the equations of a three-dimensional laminar boundary layer on surfaces that can be unrolled,” Uch. Zap. TsAGI,111, 36 (1972).
Yu. G. Gurevich and E. Yu. Shal'man, “Some effects that arise in a controlled boundary layer on a section of a surface,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 3 (1978).
R. Burgar, K. Stewartson, and R. Belcher, “Boundary layer induced by potential vortex,” Phys. Fluids.,14, 1821 (1971).
G. P. Francis and F. J. Pierce, “An experimental study of skewed turbulent boundary layers in low speed flows,” Trans. Am. Soc. Mech. Eng. Ser. D, J. Basic Eng.89, 597 (1967).
L. G. Loitsyanskii, Laminar Boundary Layers [in Russian], Moscow (1963).
Yu. G. Gurevich, “Boundary layer in the neighborhood of a corner between a concave cylindrical surface and a plane,” Izv. Akad. Nauk SSSR, Mekh. Shidk. Gaza, No. 2 (1981).
J. P. Jonston, “On the three-dimensional boundary layer generated by secondary flow,” Trans. ASME, Ser. D,82, 233 (1960).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 35–41, January–February, 1982.
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Shal'man, E.Y. Boundary layer on a circular sector. Fluid Dyn 17, 27–32 (1982). https://doi.org/10.1007/BF01090695
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DOI: https://doi.org/10.1007/BF01090695