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Incompressible flow along a corner

Published online by Cambridge University Press:  28 March 2006

Stanley G. Rubin
Stanley G. Rubin
Affiliation:
Polytechnic Institute of Brooklyn, Farmingdale, New York
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Abstract

The incompressible viscous flow along a right-angle corner, formed by the intersection of two semi-infinite flat plates, is considered. The effect of the three-dimensional geometry on the second-order ‘boundary layer’ flow away from the corner is determined and an interesting secondary flow is deduced. It is observed that this cross-flow prescribes the necessary asymptotic boundary conditions for the equations governing the flow inside the ‘corner layer’. A systematic matching scheme is specified and the corner flow problem is reformulated in terms of the ‘corner layer-boundary layer’ matching conditions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 26 , Issue 1 , September 1966 , pp. 97 - 110
Copyright
© 1966 Cambridge University Press

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References

Bloom, M. H. & Rubin, S. G. 1961 J. Aero. Sci. 28, 145–147.
Carrier, G. 1947 The boundary layer in a corner. Quart. Appl. Math. 4, 4.Google Scholar
Dowdell, R. 1952 Corner boundary layer. M.Sc. Thesis, Brown University.
Gessner, F. B. & Jones, J. B. 1961 J. Basic Engng 83, 662–675.
Howarth, L. & Stewartson, K. 1960 J. Fluid Mech. 7, 1.
Kaplun, S. 1954 Z. Angew. Math. Phys. 5, 111–135.
Kemp, N. 1951 The laminar three-dimensional boundary layer and a study of the flow past a side edge. M.Ae.S. Thesis, Cornell University.
Levy, R. 1959 The boundary layer in a corner. Ph.D. Thesis, Princeton University.
Loitsianskii, L. G. & Bolshakov, V. P. 1951 On motion of fluid in boundary layer near line of intersection of two planes. NACA TM 1308 (Translation).Google Scholar
Louis, J. F. 1957 Stall phenomena in axial flow compressors. Ph.D. Thesis, Cambridge University.
Paradis, M. A. 1963 Univ. Laval, Québec, Fac. Sc., Rapp. A-5.
Pearson, J. R. A. 1957 Homogeneous turbulence and laminar viscous flow. Ph.D. Thesis, Cambridge University.
Rosenhead, L.(ed.)1963 Laminar Boundary Layers. London: Oxford University Press.
Sowerby, L. & Cooke, J. 1953 Quart. J. Mech. & Appl. Math. 6, 1.
Stewartson, K. 1957 On asymptotic expansions in the theory of boundary layers. J. Math. Phys. 36, 173–191.Google Scholar
Stewartson, K. 1961 Viscous flow past a quarter-infinite plate. J. Aero. Sci. 28, 1.Google Scholar
Van Dyke, M. 1964 Perturbation Methods in Fluid Mechanics. New York: Academic Press.
Whittaker, E. T. & Watson, G. N. 1962 A Course of Modern Analysis. Cambridge University Press.