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The two-dimensional laminar wall jet. Velocity measurements compared with similarity theory

Der zweidimensionale laminare Wandstrahl. Geschwindigkeitsmessungen im Vergleich zur Ähnlichkeitstheorie

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Abstract

The flow past a flat plate, the free jet and the wall jet, all laminar and two-dimensional, are unidirectional momentum driven flows with no (first order) pressure gradients. As such they satisfy the boundary layer equations and provide self-similar solutions of the velocity field at some distance downstream from their real sources. This work presents velocity field measurements for the wall jet which is realized as an annulus jet about a cylinder for experimental benefits. The velocity fields are exploited for the wall normal profiles and in particular for the virtual origin of the similarity coordinates. The original similarity theory by Glauert (1956) is provided in an extended form that allows the direct comparison with the experiments and helps interpreting the similarity character of the wall jet in connection with its source.

Zusammenfassung

Die zweidimensionale und laminare Strömung der ebenen Platte, die des Freistrahls und die des Wandstrahls sind gerichtet und impulsgetrieben, wobei Druckgradienten vernachlässigbar bleiben. Sie erfüllen die Grenzschichtgleichungen und erlauben Ähnlichkeitslösungen des Geschwindigkeitsfeldes in einiger Entfernung von ihrer realen Quelle. Es werden Geschwindigkeitsmessungen für den Wandstrahl vorgestellt, der aus experimentellen Gründen durch einen Ringspalt an einem Zylinder realisiert wird. Die Geschwindigkeitsfelder werden hinsichtlich der Geschwindigkeitsprofile und insbesondere hinsichtlich des virtuellen Ursprungs des Ähnlichkeitskoordinatensystems ausgewertet. Die ursprüngliche Ähnlichkeitstheorie von Glauert (1956) wird in einer erweiterten Form zur Verfügung gestellt, um den direkten Vergleich mit den Experimenten zu ermöglichen und um den Ähnlichkeitscharakter des Wandstrahls mit seiner virtuellen Quelle zu interpretieren.

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Authors and Affiliations

  1. Fluid Mechanics, Ruhr-Universität Bochum, IB 6/44, 44780, Bochum, Germany

    F. Peters, C. Ruppel, A. Javili & T. Kunkel

Authors
  1. F. Peters
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  2. C. Ruppel
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  3. A. Javili
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  4. T. Kunkel
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Correspondence to F. Peters.

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Peters, F., Ruppel, C., Javili, A. et al. The two-dimensional laminar wall jet. Velocity measurements compared with similarity theory . Forsch Ingenieurwes 72, 19–28 (2008). https://doi.org/10.1007/s10010-007-0064-6

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  • DOI: https://doi.org/10.1007/s10010-007-0064-6

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