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MEASUREMENTS OF VELOCITY-ACCELERATION STATISTICS IN TURBULENT BOUNDARY LAYERS

K. Todd Lowe
Applied University Research, Inc. 605 Preston Avenue Blacksburg, Virginia, 24060 USA

Roger L . Simpson
Department of Aerospace and Ocean Engineering Virginia Polytechnic Institute and State University Blacksburg, VA 24061-0203 USA

Abstrakt

An advanced laser Doppler velocimetry system is developed to acquire measurements of fluctuating velocity-acceleration statistics in turbulent boundary layers. The measurements give important insight into the near-wall turbulence structure since the statistical correlations of interest, uiaj appear directly in the Reynolds stress transport equations as a sum of the velocity-pressure gradient correlation, 1/ρ(ui(dp/dxj)+uj(dp/dxi)), the dissipation rate, 2ν(dui/dzk)(duj/dzk) and the viscous diffusion, ν2uiuj. The immediate power of such measurements is that combinations of terms in the Reynolds stress transport equation may be characterized by a single statistical measurement at one location in the flow−no gradients need be computed. In the present paper, data are presented for a constant-pressure 2D turbulent boundary layer at Reθ = 6800. Near-wall results for the dominant term in the velocity-acceleration tensor, the streamwise correlation uax, compare favorably with DNS for the same quantity at Reθ = 1410 and Reτ = 640; furthermore, the quantity exhibits no Reynolds number effects within experimental uncertainties. This study exhibits the potential of the technique to be applied to more complex flows, particularly those 3D separating flows in which the motions contributing to the velocity-acceleration correlations become dominant.