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Slot suction from inviscid channel flow

Published online by Cambridge University Press:  26 April 2006

J. N. Dewynne ,
S. D. Howison ,
J. R. Ockendon ,
L. C. Morland  and
E. J. Watson
J. N. Dewynne
Affiliation:
Mathematical Institute, 24–29 St. Giles, Oxford, OX1 3LB, UK
S. D. Howison
Affiliation:
Mathematical Institute, 24–29 St. Giles, Oxford, OX1 3LB, UK
J. R. Ockendon
Affiliation:
Mathematical Institute, 24–29 St. Giles, Oxford, OX1 3LB, UK
L. C. Morland
Affiliation:
Department of Engineering Science, Parks Road, Oxford, UK
E. J. Watson
Affiliation:
Mathematics Department, Manchester University, M13 9PL, UK
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Abstract

Motivated by a problem in turbine blade cooling, we consider suction from an inviscid channel flow into a slot in the channel wall. The flow is assumed to separate smoothly from the leading edge of the slot and the pressure in the stagnant separated region controls the suction. The mass flux into the slot is found in terms of the pressure; for small values of this flux the predicted flow pattern is found to be quite different from that which would result if there were no separated region. In particular, the stagnation point never penetrates more than approximately 0.05 slot widths into the slot.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 200 , March 1989 , pp. 265 - 282
Copyright
© 1989 Cambridge University Press

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References

Birkhoff, G. & Zarantonello, E. H., 1957 Jets, Wakes and Cavities, Academic.
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Milne-Thomson, L. M.: 1968 Theoretical Hydrodynamics, 5th edn. Macmillan.
Morland, L. C.: 1986 Film cooling of turbine blades. M. Sc. Thesis, Oxford University.
Watson, E. J.: 1946 Free Streamline Suction Slots. Aero. Res. Counc. Tech. Rep. 2177.Google Scholar