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Flow induced by jets and plumes

Published online by Cambridge University Press:  20 April 2006

W. Schneider
W. Schneider
Affiliation:
Institut für Strömungslehre und Wärmeübertragung, Technische Universität Wien, Wiedner Hauptstraße 7, A-1040 Wien, Austria
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Abstract

The order of magnitude of the flow velocity due to the entrainment into an axisymmetric, laminar or turbulent jet and an axisymmetric laminar plume, respectively, indicates that viscosity and non-slip of the fluid at solid walls are essential effects even for large Reynolds numbers of the jet or plume. An exact similarity solution of the Navier-Stokes equations is determined such that both the non-slip condition at circular-conical walls (including a plane wall) and the entrainment condition at the jet (or plume) axis are satisfied. A uniformly valid solution for large Reynolds numbers, describing the flow in the laminar jet region as well as in the outer region, is also given. Comparisons show that neither potential flow theory (Taylor 1958) nor viscous flow theories that disregard the non-slip condition (Squire 1952; Morgan 1956) provide correct results if the flow is bounded by solid walls.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 108 , July 1981 , pp. 55 - 65
Copyright
© 1981 Cambridge University Press

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