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Visualization of the viscous flow induced by a round jet

Published online by Cambridge University Press:  20 April 2006

Erwin Zauner
Affiliation:
Technische Universität Wien, Austria

Abstract

The flow induced by a laminar round glycerol jet emerging from a plane wall is investigated. The flow field (jet region as well as outer flow field) is visualized by means of very small bubbles suspended in the fluid. For slender jets the observed flow pattern disagrees with both potential-flow theory and Squire's ‘exact’ solution, but it is in excellent agreement with results of an asymptotic analysis by Schneider (1981). At a downstream distance that depends exponentially on the square of the Reynolds number, the jet develops into a toroidal eddy as predicted by Schneider (1985). In an apparatus of reasonable size the eddy can be observed only in a very limited Reynolds-number regime.

Type
Research Article
Copyright
© 1985 Cambridge University Press

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References

Kraemer, K. 1971 Die Potentialströmung in der Umgebung von Freistrahlen. Z. Flugwiss. 19, 93104.Google Scholar
Mcnaughton, K. J. & Sinclair, C. G. 1966 Submerged jets in short cylindrical flow vessels. J. Fluid Mech. 25, 367375.Google Scholar
Mitsotakis, K., Schneider, W. & Zauner, E. 1984 Second-order boundary-layer theory of laminar jet flows. Acta Mech. 53, 115123.Google Scholar
Mollendorf, J. C. & Gebhart, B. 1973 An experimental and numerical study of the viscous stability of a round laminar vertical jet with and without thermal buoyancy for symmetric and asymmetric disturbances. J. Fluid Mech. 61, 367399.Google Scholar
Potsch, K. 1981 Laminare Freistrahlen im Kegelraum. Z. Flugwiss. Weltraumforschung 5, 4452.Google Scholar
Rankin, G. W., Sridhar, K., Arulraja, M. & Kumar, K. R. 1983 An experimental investigation of laminar axisymmetric submerged jets. J. Fluid Mech. 133, 217231.Google Scholar
Reynolds, A. J. 1962 Observations of a liquid-into-liquid jet. J. Fluid Mech. 14, 552556.Google Scholar
Schlichting, H. 1933 Laminare Strahlausbreitung. Z. angew. Math. Mech. 13, 260263.Google Scholar
Schlichting, H. 1979 Boundary Layer Theory, 7th edn. McGraw-Hill.
Schneider, W. 1981 Flow induced by jets and plumes. J. Fluid Mech. 108, 5565.Google Scholar
Schneider, W. 1985 Decay of momentum flux in submerged jets. J. Fluid Mech. 154, 91110.Google Scholar
Squire, H. B. 1952 Some viscous fluid flow problems. I. Jet emerging from a hole in a plane wall. Phil. Mag. 43, 942945.Google Scholar
Viilu, A. 1962 An experimental determination of the minimum Reynolds number for instability in a free jet. Trans. ASME E: J. Appl. Mech. 29, 506508Google Scholar