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A planar pulsating jet

Published online by Cambridge University Press:  14 October 2009

N. RILEY ,
M. SÁNCHEZ-SANZ  and
E. J. WATSON
N. RILEY*
Affiliation:
School of Mathematics, University of East Anglia, Norwich, NR4 7TJ, UK
M. SÁNCHEZ-SANZ
Affiliation:
ETSI Aeronáuticos, Pl. Cardenal Cisneros 3, 28040 Madrid, Spain
E. J. WATSON
Affiliation:
30 Ashwood Avenue, Manchester, M20 2ZB, UK
*
†Email address for correspondence: [email protected]
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Abstract

We are concerned with the behaviour of a two-dimensional jet that issues from a planar orifice, with a ‘top-hat’ profile. At the orifice the steady flow is modulated by a time-harmonic fluctuation. A suitably defined Reynolds number is assumed to be large throughout. At large streamwise distances from the orifice, the time-averaged flow yields the classical, Bickley, jet with a suitable virtual origin. This decays algebraically whilst, by contrast, the unsteady component decays exponentially with streamwise distance. An asymptotic theory confirms the exponential decay and provides a good agreement with the numerical solution.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 638 , 10 November 2009 , pp. 161 - 172
Copyright
Copyright © Cambridge University Press 2009

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References

REFERENCES

Bickley, W. G. 1937 The plane jet. Phil. Mag. 23, 727–731.CrossRefGoogle Scholar
Schlichting, H. 1933 Laminare Strahlausbreitung. Z. angew. Math. Mech. 13, 260–263.CrossRefGoogle Scholar