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A resolution of the blow-off singularity for similarity flow on a flat plate

Published online by Cambridge University Press:  29 March 2006

D. R. Kassoy
D. R. Kassoy
Affiliation:
Mechanical Engineering Department, University of Colorado, Boulder
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Abstract

A study is made of uniform flow past a semi-infinite flat plate with a similarity injection distribution of boundary-layer magnitude. Attention is focused on a solution at exactly the critical injection rate for which classical boundary-layer theory predicts the blow-off singularity. Following a description of the more recent interaction analyses which also fail at the critical rate, a new theory is developed which leads to physically meaningful results. In particular, it is shown that the non-monotonic variation in wall shear with increasing injection rate near the critical value, noted by Klemp & Acrivos (1972), is real. A delicate interplay of weak pressure interactions and viscous effects is shown to be responsible for this surprising phenomenon.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 62 , Issue 1 , 8 January 1974 , pp. 145 - 161
Copyright
© 1974 Cambridge University Press

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References

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