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The Generalization of a Double Integral Method with Applications to Jets in Unbounded Co-Flows

Published online by Cambridge University Press:  07 June 2016

D. Middleton
D. Middleton*
Affiliation:
Department of Theoretical Mechanics, University of Nottingham
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Summary

The ‘double integral’ method, employed by Squire and Trouncer to calculate the flow of a round turbulent jet in a moving stream, is generalised. Representation of the velocity profile in simple form and use of an arbitrary upper limit of integration in the second application of the momentum integral equation permits the recovery of the well-known similarity solutions for plane and axi-symmetric laminar jets issuing into a quiescent medium. Additionally, an approximation for the decay of centre-line velocity is obtained for the non-similar situation when there is an ambient co-flowing stream. This agrees well with Wygnanski’s perturbation solution for the plane laminar jet. The results of Squire and Trouncer are re-examined in the light of this generalised approach. The work has application to the operation of fluidic sensors.

Type
Research Article
Information
Aeronautical Quarterly , Volume 30 , Issue 1 , February 1979 , pp. 322 - 342
Copyright
Copyright © Royal Aeronautical Society. 1979

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References

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