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Similar and Asymptotic Solutions of the Incompressible Laminar Boundary Layer Equations with Suction

Published online by Cambridge University Press:  07 June 2016

M. Zamir  and
A. D. Young
M. Zamir
Affiliation:
Department of Aeronautical Engineering, Queen Mary College
A. D. Young
Affiliation:
Department of Aeronautical Engineering, Queen Mary College
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Summary

Similar solutions of the boundary layer equations for incompressible flow with external velocity u1 ∞ xm and suction velocity υw ∞ x(m-1)/2 are obtained for negative values of m, in the range −0-1 to −0-9, and a wide range of suction quantities.

The results are used, in combination with, existing solutions for positive m, to provide a guide to the ranges of m and suction parameter [(υw/u1√x] for which a general form of the classical asymptotic solution can be regarded as a good approximation to the exact solution.

It is shown that the values of both m and suction parameter are generally important in this comparison, but for values of the latter greater than about 8 the approximation is a very good one for all values of m considered. For m≃−0·14 the approximation is good (i.e. the error is less than about 1 per cent) down to values of the suction parameter as low as 1·0.

Type
Research Article
Information
Aeronautical Quarterly , Volume 18 , Issue 2 , May 1967 , pp. 103 - 120
Copyright
Copyright © Royal Aeronautical Society. 1967

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References

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