Abstract
Viscous fluid flow near the line of intersection of curved surfaces at large Re numbers is a topic of considerable interest. The intersection of two fixed planes has been the subject of many experimental and theoretical studies. This case is characterized by very small transverse velocities and by the fact that the corner does not affect the remoter parts of the flow [1–4]. The flows near intersecting curved surfaces have received very little attention, except for the particular case of the intersection of a concave cylindrical surface and a plane in an incompressible fluid flow. With reference to this example it has been shown that the curvature qualitatively affects the flow pattern not only near the line of intersection but also at a distance from it [5]. The present article is concerned with viscous fluid flow at Re≫1 near the line of intersection of arbitrary, relatively smooth surfaces in the presence of external body forces and, moreover, in the noninertial coordinate system moving with the exposed surfaces (for example, rotating surfaces). On the basis of an analysis of the Navier-Stokes equations and the energy equation as Re→∞ sufficient conditions are obtained for the development of intense transverse flows near the line of intersection, which also lead to a qualitative change in the flow pattern; it is shown that depending on the external forces and the geometric parameters of the surfaces various types of flow are possible; the relations determining the occurrence of a particular type of flow and the equations and necessary boundary conditions describing some of these flows are obtained.
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L. G. Loitsyanskii, The Laminar Boundary Layer [in Russian], Fizmatgiz, Moscow (1962)
M. Zamir and A. D. Young, “Experimental investigation of the boundary layer in a streamwise corner,” Aeronaut. Q.,21, 313 (1970).
S. G. Rubin and B. Grossman, “Viscous flow along a corner: numerical solution of the corner layer equations,” Q. Appl. Math.,29, 169 (1971).
V. I. Kornilov and A. M. Kharitonov, “Some features of viscous flows in corner configurations,” in: Studies of Viscous-Gas Wall Flows [in Russian], Novosibirsk (1979), pp. 45–58.
Yu. G. Gurevich, “Boundary layer in the neighborhood of the corner between a concave cylindrical surface and a plane,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 160 (1981).
N. M. Belyanin and E. Yu. Shal'man, “Laminar boundary layer in a swirling flow,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 43 (1976).
G. P. Francis and F. J. Pierce, “An experimental study of skewed turbulent boundary layers in low speed flows,” Trans. ASME., J. Basic Eng.,87, 597 (1967).
E. Yu. Shal'man, “Boundary layer on a circular sector,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 35 (1982).
F. T. Smith and P. W. Duck, “Separation of jets or thermal boundary layers from a wall,” Q. J. Mech. Appl. Math.,30, 143 (1977).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 16–21, May–June, 1985.
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Gurevich, Y.G. Viscous fluid flow near the line of intersection of curved surfaces. Fluid Dyn 20, 348–352 (1985). https://doi.org/10.1007/BF01049984
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DOI: https://doi.org/10.1007/BF01049984