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The downstream solution for steady viscous flow past a paraboloid

Published online by Cambridge University Press:  24 October 2008

D. R. Miller
D. R. Miller
Affiliation:
Department of Industrial and Systems EngineeringUniversity of Florida
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Extract

The flow of a viscous incompressible fluid past a paraboloid of revolution is described by matching a series of boundary-layer approximations valid far downstream to a series of potential flow solutions valid far from the solid surface. The development parallels that of Goldstein (3) and Murray (10) for the flat plate, becoming identical for infinitely large Reynolds number; it is found that logarithmic terms must be introduced at the third stage of the matching, and that these produce constants in the downstream solution which remain indeterminate. These terms result from interaction between inner and outer solutions, rather than from appearance of a complementary function of the inner equation.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 70 , Issue 1 , July 1971 , pp. 123 - 133
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

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