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Interaction between a spatially growing turbulent boundary layer and embedded streamwise vortices

Published online by Cambridge University Press:  26 April 2006

Junhui Liu ,
Ugo Piomelli  and
Philippe R. Spalart
Junhui Liu
Affiliation:
Department of Mechanical Engineering, University of Maryland, College Park, MD 20742, USA Present address: Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN 55455, USA.
Ugo Piomelli
Affiliation:
Department of Mechanical Engineering, University of Maryland, College Park, MD 20742, USA
Philippe R. Spalart
Affiliation:
Boeing Commercial Airplane Group, PO Box 3707, Seattle, WA 98124-2207, USA
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Abstract

The interaction between a zero-pressure-gradient turbulent boundary layer and a pair of strong, common-flow-down, streamwise vortices with a sizeable velocity deficit is studied by large-eddy simulation. The subgrid-scale stresses are modelled by a localized dynamic eddy-viscosity model. The results agree well with experimental data. The vortices drastically distort the boundary layer, and produce large spanwise variations of the skin friction. The Reynolds stresses are highly three-dimensional. High levels of kinetic energy are found both in the upwash region and in the vortex core. The two secondary shear stresses are significant in the vortex region, with magnitudes comparable to the primary one. Turbulent transport from the immediate upwash region is partly responsible for the high levels of turbulent kinetic energy in the vortex core; its effect on the primary stress 〈u′v′〉 is less significant. The mean velocity gradients play an important role in the generation of 〈u′v′〉 in all regions, while they are negligible in the generation of turbulent kinetic energy in the vortex core. The pressure-strain correlations are generally of opposite sign to the production terms except in the vortex core, where they have the same sign as the production term in the budget of 〈u′v′〉. The results highlight the limitations of the eddy-viscosity assumption (in a Reynolds-averaged context) for flows of this type, as well as the excessive diffusion predicted by typical turbulence models.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 326 , 10 November 1996 , pp. 151 - 179
Copyright
© 1996 Cambridge University Press

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