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TECHNICAL PAPERS

Measurement of the Instantaneous Velocity Gradients in Plane and Axisymmetric Turbulent Wake Flows

[+] Author and Article Information
T. Schenck, J. Jovanović

Lehrstuhl für Strömungsmechanik, Universität Erlangen-Nürnberg, Cauerstrasse 4, 91058 Erlangen, Germany

J. Fluids Eng 124(1), 143-153 (Sep 13, 2001) (11 pages) doi:10.1115/1.1428330 History: Received January 07, 2000; Revised September 13, 2001
Copyright © 2002 by ASME
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References

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Figures

Grahic Jump Location
Different configurations of X hot-wire probes employed for measurements of the instantaneous velocity derivatives. (a) u1,1,u1,2,u2,1,u2,2; (b) u1,1,u1,3,u3,1,u3,3; (c) u1,1,u1,3,u2,1,u2,3; (d) u1,1,u1,2,u3,1,u3,2.
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Schematic of the X hot-wire configuration shown in Fig. 1(a). Here d is the distance between the hot wires, l is the hot-wire length, s is the distance between two probes and ψ is the effective wire angle.
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Contour plot of relative turbulence intensity u1/U1 (top left), the skewness factor (top right) and the flatness factor (bottom) of the streamwise velocity component in the axisymmetric wake at x1/D=101
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Photograph of the hot-wire mounting and the microscope for probe positioning in the wind tunnel (top). Enlarged front view of the hot-wire probes (bottom).
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Comparisons of the intensity and shear stress distributions across the plane wake measured using single wire (denoted single), cross wire (denoted X400) and configurations (a), (b), (c), and (d) shown in Fig. 1. Displayed data includes both side of the wake which cannot be distinguished owing to perfect symmetry of the flow.
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Normalized distributions of measured and calculated shear stress (top). Momentum thickness in the plane wake computed at different locations behind the cylinder (bottom).
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Comparisons of the measured intensity components and shear stress across the plane wake with the data available in the literature
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Measured and corrected statistics of the velocity derivatives u1,1,u3,1, and u1,3 at the centerline (x2/L≃0) and in the outer part (x2/L≃1.8−2) of the plane wake
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Determination of an “effective” separation between the probes from the measured single point statistics using two X hot wires; profiles before matching (top) and after matching (bottom)
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Comparisons of u1,1,u1,2 and u1,3 measured with hot-wire configurations (a), (b), (c), and (d) shown in Fig. 1 with measurements taken using a single wire and a pair of single hot wires (denoted N) in the axisymmetric wake
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Comparisons of the statistics of all nine derivatives ui,j in the plane wake with the data of Browne et al. 14 and Ye 18
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Distributions of the isotropic ratios K1−K8 (top) and the axisymmetric ratios Ka1−Ka5 (bottom) across the plane wake
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Comparison of the measured dissipation rate εii with its isotropic and axisymmetric approximations in the plane (top) and axisymmetric (bottom) wake
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Distributions of the isotropic ratios K1−K8 (top) and the axisymmetric ratios Ka1−Ka5 (bottom) across the axisymmetric wake
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Traces of joint variations of the invariants across the plane wake (top, left-right) and the axisymmetric wake (bottom, left-right) within the anisotropy-invariant map
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Budget of the turbulent kinetic energy in the plane wake: measurements (top); DNS of Moser et al. 37 (bottom)
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Budget of the turbulent kinetic energy in the axisymmetric wake

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