Abstract
The contribution deals with recent theoretical results concerning separation of a turbulent boundary layer from a blunt solid object in a uniform stream, accompanied by a numerical study. The investigation is restricted to incompressible nominally steady two-dimensional flow past an impervious obstacle surface. Then the global Reynolds number represents the only parameter entering the description of the Reynolds-averaged flow. It shall be large enough to ensure that laminar–turbulent transition takes place in a correspondingly small region encompassing the stagnation point. Consequently, the concomitant asymptotic hierarchy starts with the external Helmholtz–Kirchhoff potential flow, which detaches at an initially unknown point from the body, driving the turbulent boundary layer. It is found that the separation mechanism is inherently reminiscent of the transition process. The local analysis of separation not only fixes the actual scaling of the entire boundary layer but is also expected to eventually predict the position of in a rational way.
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References
Melnik, R.E.: Comput. Fluids 17(1)
Neish, A., Smith, F.T.: J. Fluid Mech. 241
Roshko, A.: J. Fluid Mech. 10(3)
Scheichl, B.: Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances. In: Steinrück, H. (ed.) CISM Courses and Lectures, vol. 523, pp. 221–246. Springer, New York (2010)
Scheichl, B., Kluwick, A.: J. Fluids Struct. 24(8)
Scheichl, B., Kluwick, A., Alletto, M.: Acta Mech. 201(1-4)
Scheichl, B., Kluwick, A., Smith, F.T.: J. Fluid Mech. 670 (2011)
Schlichting, H., Gersten, K.: Boundary-layer Theory, 8th edn. Springer, New York (2003)
Smith, F.T.: Proc. R. Soc. Lond. A 356 (1687)
Sychev, V.V.: Fluid Dyn. 7(3)
Sychev, V.V.: Fluid Dyn. 22(3)
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© 2012 Springer-Verlag Berlin Heidelberg
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Scheichl, B., Kluwick, A., Smith, F.T., Paton, J. (2012). A Uniformly Valid Theory of Turbulent Separation. In: Oberlack, M., Peinke, J., Talamelli, A., Castillo, L., Hölling, M. (eds) Progress in Turbulence and Wind Energy IV. Springer Proceedings in Physics, vol 141. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28968-2_18
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DOI: https://doi.org/10.1007/978-3-642-28968-2_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-28967-5
Online ISBN: 978-3-642-28968-2
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