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Laminar incompressible flow past a semi-infinite flat plate

Published online by Cambridge University Press:  28 March 2006

R. T. Davis
R. T. Davis
Affiliation:
Virginia Polytechnic Institute, Blacksburg, Virginia
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Abstract

Laminar incompressible flow past a semi-infinite flat plate is examined by using the method of series truncation (or local similarity) on the full Navier-Stokes equations. The first and second truncations are calculated at points on the plate away from the leading edge, while only the first truncation is calculated at the leading edge. The solutions are compared with the results from other approximate methods.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 27 , Issue 4 , 20 March 1967 , pp. 691 - 704
Copyright
© 1967 Cambridge University Press

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References

Blasius, H. 1908 Grenzschichten in FlÜssigkeiten mit kleiner Reibung Z. Math. Phys. 56, 1.Google Scholar
Carrier, G. F. & Lin, C. C. 1948 On the nature of the boundary-layer near the leading edge of a flat plate Quart. Appl. Math. 6, 63–68.Google Scholar
Dean, W. R. 1954 On the steady motion of viscous liquid past a flat plate Mathematika 1, 143–156.Google Scholar
Goldstein, S. 1960 Lectures on Fluid Mechanics. New York: Wiley (Interscience).
Imai, I. 1951 On the asymptotic behaviour of viscous fluid flow at a great distance from a cylindrical body, with special reference to Filon's paradox. Proc. Roy. Soc. A 208, 487–516.Google Scholar
Imai, I. 1957 Second approximation to the laminar boundary-layer flow over a flat plate J. Aeronaut. Sci. 24, 155–156.Google Scholar
Kaplun, S. 1954 The role of coordinate systems in boundary-layer theory Z. Angew. Math. Phys. 5, 111–135.Google Scholar
Kuo, Y. H. 1953 On the flow of an incompressible viscous fluid past a flat plate at moderate Reynolds numbers J. Math. Phys. 32, 83–101.Google Scholar
Lagerstrom, P. A. 1964 Laminar flow theory. Theory of Laminar Flows, F. K. Moore ed. Princeton University Press.
Lewis, J. A. & Carrier, G. F. 1949 Some remarks on the flat plate boundary-layer Quart. Appl. Math. 7, 228–234.Google Scholar
Murray, J. D. 1965 Incompressible viscous flow past a semi-infinite flat plate J. Fluid Mech. 21, 337–344.Google Scholar
TöPFER, K. 1912 Bemerkung zu dem Aufsatz von H. Blasius ‘Grenzschichten in FlÜssig-keiten mit kleiner Reibung’. Z. Math. Phys. 60, 397–398.Google Scholar
Van Dyke, M. 1964a Perturbation Methods in Fluid Mechanics. New York: Academic Press.
Van Dyke, M. 1964b The blunt-body problem revisited. Proc. Internat. Hypersonics Symp. 1964. Cornell University Press.
Van Dyke, M. 1964c The circle at low Reynolds number as a test of the method of series truncation. Proceedings of 11th International Congress of Applied Mechanics. Berlin: Springer Verlag, 1966.
Van Dyke, M. 1964d Higher approximations in boundary-layer theory. Part 3. Parabola in uniform stream J. Fluid Mech. 19, 145–159.Google Scholar
Van Dyke, M. 1965a Hypersonic flow behind a paraboloidal shock wave. Journal de MÉcanique, December 1965.Google Scholar
Van Dyke, M. 1965b A method of series truncation applied to some problems in fluid mechanics. VII Symposium on Advanced Problems and Methods in Fluid Dynamics. Poland: Jurata 1965.
Wang, R. S. 1965 Laminar incompressible flow past a parabolic cylinder. Virginia Polytechnic Institute, M.S. Thesis.
Wilkinson, J. 1955 A note on the Oseen approximation for a paraboloid in a uniform stream parallel to its axis Quart. J. Mech. Appl. Math. 8, 415–421.Google Scholar