Viscous flow along a corner: Numerical solution of the corner layer equations
Authors:
Stanley G. Rubin and Bernard Grossman
Journal:
Quart. Appl. Math. 29 (1971), 169-186
DOI:
https://doi.org/10.1090/qam/99762
MathSciNet review:
QAM99762
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Abstract: Solutions for the viscous incompressible flow along a right-angle corner have been found by a method of successive iteration. The algebraic nature of the asymptotic flow field has been utilized to provide boundary conditions for the numerical analysis. One arbitrary constant appearing in the asymptotic series has been determined by the elimination of interior mass sources that appear as a result of any inaccuracy in the value of this constant, allowing additional mass to cross the outer boundary. The numerical solution shows a swirling flow in the corner but a closed vortical pattern is not established.
S. G. Rubin, Incompressible flow along a corner, J. Fluid Mech. 26, part 1, 97–110 (1966)
- Alexander Pal and Stanley G. Rubin, Asymptotic features of viscous flow along a corner, Quart. Appl. Math. 29 (1971), 91–108. MR 302037, DOI https://doi.org/10.1090/S0033-569X-1971-0302037-9
J. R. A. Pearson, Homogeneous turbulence and laminar viscous flow, Ph.D. Thesis, Cambridge University, 1957
- Laminar boundary layers, Clarendon Press, Oxford, 1963. An account of the development, structure and stability of laminar boundary layers in incompressible fluids, together with a description of the associated experimental techniques. MR 0155499
- Gordon D. Smith, Numerical solution of partial differential equations, Oxford University Press, New York-London, 1965. MR 0282538
- G. F. Carrier, The boundary layer in a corner, Quart. Appl. Math. 4 (1947), 367–370. MR 19464, DOI https://doi.org/10.1090/S0033-569X-1947-19464-0
R. J. Cresci, S. G. Rubin, C. T. Nardo and T. C. Lin, Hypersonic interaction along a rectangular corner, AIAA J. 7, 2241–2246 (1969)
M. H. Bloom, Remark on compressibility effects in the boundary layer cross flow near a corner, Polytechnic Institute of Brooklyn, PIBAL Report No. 969, 1966
P. Libby, Secondary flows associated with a supersonic corner region, AIAA J. 4, 1130–1131 (1966)
S. G. Rubin, Incompressible flow along a corner, J. Fluid Mech. 26, part 1, 97–110 (1966)
A. Pal and S. G. Rubin, Asymptotic features of the viscous flow along a corner, Quart. Appl. Math. 29, 91 (1971)
J. R. A. Pearson, Homogeneous turbulence and laminar viscous flow, Ph.D. Thesis, Cambridge University, 1957
L. Rosenhead, editor, Laminar boundary layers, Clarendon Press, Oxford, 1963
G. D. Smith, Numerical solution of partial differential equations, Oxford University Press, London, 1965
G. Carrier, The boundary layer in a corner, Quart. Appl. Math. 4, 367–370 (1947)
R. J. Cresci, S. G. Rubin, C. T. Nardo and T. C. Lin, Hypersonic interaction along a rectangular corner, AIAA J. 7, 2241–2246 (1969)
M. H. Bloom, Remark on compressibility effects in the boundary layer cross flow near a corner, Polytechnic Institute of Brooklyn, PIBAL Report No. 969, 1966
P. Libby, Secondary flows associated with a supersonic corner region, AIAA J. 4, 1130–1131 (1966)
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Article copyright:
© Copyright 1971
American Mathematical Society
