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Turbulence and Shear Flow Phenomena -1 First International Symposium

ISBN:
1-56700-135-1 (Print)

MEASUREMENT AND MODELING OF THE TWO-POINT CORRELATION TENSOR IN A PLANE WAKE FOR BROADBAND NOISE PREDICTION

William J. Devenport
AOE Department, Virginia Tech, Blacksburg, VA 24061, USA

Chittiappa Muthanna
AOE Department, Virginia Tech, Blacksburg, VA 24061, USA

Ruolong Ma
AOE Department, Virginia Tech, Blacksburg, VA 24061, USA

Stewart A. L. Glegg
Department of Ocean Engineering, Florida Atlantic University, Boca Raton, FL 33431, USA

Abstract

Measurements of the 4-dimensional two-point correlation tensor of a fully developed airfoil wake are presented. These data allow examination of the 'characteristic eddies' of the turbulence through proper orthogonal decomposition and linear stochastic estimation. A simple generic technique has been developed to extrapolate the correlation tensor function from the Reynolds stress field based upon the hypothesis that its form is largely determined by the constraints imposed by inhomogeneity and continuity. Estimates for the plane wake compare favorably with measurements and, interestingly, proper orthogonal modes and characteristic eddy structures inferred from the estimates are similar to those obtained from measurements. This raises some interesting issues.