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The existence and uniqueness of a similarity solution of boundary-layer theory

Published online by Cambridge University Press:  26 February 2010

S. N. Brown
S. N. Brown
Affiliation:
University College, Gower Street, London, W.C.1.
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Extract

When a viscous incompressible fluid with uniform conditions at upstream infinity flows past a paraboloid of revolution, the boundary-layer equations admit of a similarity solution which leads to the ordinary differential equation (see Miller [1])

with boundary conditions

Type
Research Article
Information
Mathematika , Volume 18 , Issue 1 , June 1971 , pp. 14 - 19
Copyright
Copyright © University College London 1971

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References

1.Miller, D. R., “The boundary layer on a paraboloid of revolution,” Proc. Cambridge Phil. Soc, 65 (1969), 285–299.CrossRefGoogle Scholar
2.Iglisch, R., “Elementarer Beweis für die Eindeutigkeit der Strömung der laminaren Grenzschicht zur Potentialströmung U = u1 xm mit m ≥ 0 bei Absaugen und Ausblasen”, Zeitsch. für Angew. Math. und Mech., 34 (1954), 441–443.CrossRefGoogle Scholar
3.Coppel, W. A., “On a differential equation of boundary-layer theory,” Phil. Tram. Roy. Soc. Series A, 253 (1960). 101–136.Google Scholar