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The two-dimensional laminar jet in parallel streaming flow

Published online by Cambridge University Press:  28 March 2006

I. Wygnanski
I. Wygnanski
Affiliation:
Boeing Scientific Research Laboratories, Seattle, Washington
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Abstract

Solutions to the problem of a two-dimensional, laminar jet of incompressible fluid issuing into a uniform stream in the direction of the main flow are considered. Two co-ordinate-type expansions are developed. A direct expansion, when suitably transformed, predicts approximately the velocity along the plane of symmetry of the jet for all values of the abscissa, with a maximum error of 7·6% far downstream from the origin. This error is established by comparison with a second, asymptotic expansion valid only at large values of the abscissa. The two expansions are subsequently joined, permitting an approximate determination of a constant which multiplies a third-order term in the asymptotic series and which initially remained unknown even after satisfying all boundary conditions imposed on these series.

The decay of velocity excess along the plane of symmetry of the jet is accelerated by the presence of the external stream.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 27 , Issue 3 , 24 February 1967 , pp. 431 - 443
Copyright
© 1967 Cambridge University Press

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