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A Thermally Induced Singularity in a Wake

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BAIL 2008 - Boundary and Interior Layers

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 69))

Abstract

The two-dimensional laminar flow past a heated horizontal plate is studied in a distinguished limit of large Reynolds and Grashof numbers. The limiting problem constitutes an interaction between the potential flow and the wake flow. It turns out that solutions exist only if the interaction parameter K = Gr/Re 9/4 is below a critical value. When approaching this critical value a singularity in the wake forms. The nature of this singularity will be analyzed.

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References

  1. W. Schneider. Lift, thrust and heat transfer due to mixed convection flow past a horizontal plate. J. Fluid Mech., 529:51–69, 2005.

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  2. Lj. Savić and H. Steinrück. Mixed convection flow past a horizontal plate. Theor. Appl. Mech., 32:1–19, 2005.

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  3. W. Schneider and M. G. Wasel. Breakdown of the boundary-layer approximation for mixed convection above a horizontal plate. Int. J. Heat Mass Transfer, 28:2307–2313, 1985.

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  4. W. Schneider. Mathematische Methoden der Strömungslehre. Vieweg, 1978.

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Author information

Authors and Affiliations

  1. Institute of Fluid Mechanics and Heat Transfer, Vienna University of Technology, Vienna, Resselgasse 3, 1040, Austria

    Herbert Steinrück & Bernhard Kotesovec

Authors
  1. Herbert Steinrück
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  2. Bernhard Kotesovec
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Corresponding author

Correspondence to Herbert Steinrück .

Editor information

Editors and Affiliations

  1. Dept. Mathematics & Statistics, University of Limerick, Limerick, Ireland

    Alan Hegarty

  2. Dept. Mathematics & Statistics, University of Limerick, Limerick, Ireland

    Natalia Kopteva

  3. School of Mathematical Sciences, Dublin City University, Glasnevin, Dublin 9, Ireland

    Eugene O'Riordan

  4. Dept. Mathematics, University College Cork, Aras Na Laoi , Cork, Ireland

    Martin Stynes

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© 2009 Springer-Verlag Berlin Heidelberg

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Steinrück, H., Kotesovec, B. (2009). A Thermally Induced Singularity in a Wake. In: Hegarty, A., Kopteva, N., O'Riordan, E., Stynes, M. (eds) BAIL 2008 - Boundary and Interior Layers. Lecture Notes in Computational Science and Engineering, vol 69. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00605-0_19

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