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Further Solution of the Corner Boundary-Layer Equations

Published online by Cambridge University Press:  07 June 2016

M Zamir*
Affiliation:
University of Western Ontario
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Summary

Similar solutions of an equation governing the flow in the plane of symmetry of a corner boundary layer with favourable pressure gradient are extended to a “critical” value of the pressure gradient for which no solution could be found previously. It is shown that the failure to achieve this result in the past was due to the “singular” nature of this solution rather than to its non-existence as one was tempted to suspect. The existence and uniqueness of this crucial solution are demonstrated and the solution itself is obtained to a high degree of numerical accuracy. Criticism of the theory on which this corner boundary-layer equation is based is discussed in an Appendix.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1973

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References

1 Zamir, M Boundary-layer flow in a streamwise corner. PhD Thesis, University of London, 1968.Google Scholar
2 Zamir, M Boundary-layer theory and the flow in a streamwise corner. Aeronautical Journal, Vol 74, p 330, April 1970.Google Scholar
3 Zamir, M On the corner boundary layer with favourable pressure gradient. Aeronautical Quarterly, Vol XXIII, p 161, May 1972.Google Scholar
4 Zamir, M Young, A D Similar and asymptotic solutions of the incompressible laminar boundary-layer equations with suction. Aeronautical Quarterly, Vol XVIII, p 103, May 1967.Google Scholar
5 Tokuda, N Viscous flow near a corner in three dimensions. Journal of Fluid Mechanics, Vol 53, Part 1, p 129, 1972.Google Scholar
6 Zamir, M Young, A D Experimental investigation of the boundary layer in a streamwise corner. Aeronautical Quarterly, Vol XXI, p 313, November 1970.CrossRefGoogle Scholar