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Description of Viscous-Inviscid Interaction Using Boundary Elements

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Boundary Elements in Fluid Dynamics

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Abstract

Steady two- and three-dimensional flows of a viscous incompressible fluid about an arbitrary body are considered. Far from the body, the fluid can be considered as inviscid and the flow can be calculated with use of boundary element methods. In the neighborhood of the body and in its wake, the viscosity has to be taken into account, and the flow can be calculated by means of finite difference methods for example. If the Reynolds number is high, the regions, in which the viscosity is essential, that are the boundary layers at the surface, dead air regions, and free shear layers, are thin.

The interactions between these viscous and inviscid regions of the whole flow field have been treated by different methods applied to the respective regions and by different assumptions concerning the interaction effects. This will be discussed by means of three examples.

As first example, the two-dimensional flow around an airfoil is considered, in which the boundary layer separates from the airfoil and an adjacent dead air region is formed. As second example, the flow around a prolate spheroid at incidence is treated, in which case separation leads to a thin free vortex layer. A third example is given by a turbulent circular jet exhausting normally from a flat plate into a stream flowing parallel to the plate. The viscous jet is bent by the uniform inviscid flow and the inviscid flow is modified in the neighborhood of the jet.

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Author information

Authors and Affiliations

  1. Institute of Theoretical Fluid Mechanics, Deutsche Forschungsanstalt für Luft- und Raumfahrt (DLR), Bunsenstr. 10, D-3400, Göttingen, Germany, D-3400

    H. Schmitt

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  1. H. Schmitt
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Editors and Affiliations

  1. Wessex Institute of Technology, SO4 2AA, Ashurst Lodge, Southampton, UK

    C. A. Brebbia  & P. W. Partridge  & 

  2. Dept. Of Civil Engineering, University of Brasilia, Brazil

    P. W. Partridge

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© 1992 Computational Mechanics Publications

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Schmitt, H. (1992). Description of Viscous-Inviscid Interaction Using Boundary Elements. In: Brebbia, C.A., Partridge, P.W. (eds) Boundary Elements in Fluid Dynamics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2876-6_7

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  • DOI: https://doi.org/10.1007/978-94-011-2876-6_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-85166-780-2

  • Online ISBN: 978-94-011-2876-6

  • eBook Packages: Springer Book Archive

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