Direct Numerical Simulation of Turbulent Flow Around a Rotating Circular Cylinder

[+] Author and Article Information
Jong-Yeon Hwang

Department of Mechanical Engineering, Inha University, Incheon, 402-020, Korea

Kyung-Soo Yang

Department of Mechanical Engineering, Inha University, Incheon, 402-020, Koreaksyang@inha.ac.kr

Klaus Bremhorst

Division of Mechanical Engineering, The University of Queensland, Brisbane Qld 4072, Australia

J. Fluids Eng 129(1), 40-47 (Jun 13, 2006) (8 pages) doi:10.1115/1.2375133 History: Received June 16, 2005; Revised June 13, 2006

Turbulent flow around a rotating circular cylinder has numerous applications including wall shear stress and mass-transfer measurement related to the corrosion studies. It is also of interest in the context of flow over convex surfaces where standard turbulence models perform poorly. The main purpose of this paper is to elucidate the basic turbulence mechanism around a rotating cylinder at low Reynolds numbers to provide a better understanding of flow fundamentals. Direct numerical simulation (DNS) has been performed in a reference frame rotating at constant angular velocity with the cylinder. The governing equations are discretized by using a finite-volume method. As for fully developed channel, pipe, and boundary layer flows, a laminar sublayer, buffer layer, and logarithmic outer region were observed. The level of mean velocity is lower in the buffer and outer regions but the logarithmic region still has a slope equal to the inverse of the von Karman constant. Instantaneous flow visualization revealed that the turbulence length scale typically decreases as the Reynolds number increases. Wavelet analysis provided some insight into the dependence of structural characteristics on wave number. The budget of the turbulent kinetic energy was computed and found to be similar to that in plane channel flow as well as in pipe and zero pressure gradient boundary layer flows. Coriolis effects show as an equivalent production for the azimuthal and radial velocity fluctuations leading to their ratio being lowered relative to similar nonrotating boundary layer flows.

Copyright © 2007 by American Society of Mechanical Engineers
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Figure 1

Computational domain and grid system; (a) total view, (b) magnified view

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Figure 2

Mean velocity profiles in the wall region

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Figure 3

Rms velocity fluctuations normalized by friction velocity in the wall region at rpm=500

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Figure 4

Two point correlation coefficients at rpm=500; (a) azimuthal separations, (b) spanwise separations

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Figure 5

Turbulence length and time scales in the wall region at three cases of rpm; (a) turbulence length scale, (b) turbulence time scale

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Figure 6

Instantaneous contours of streamwise velocity fluctuation at various rpm; solid and dotted lines denote positive and negative values, respectively, and increment is 0.4; (a) rpm=200, (b) rpm=500, and (c) rpm=1000

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Figure 7

Wavelet transform of u′ in the azimuthal direction at y+=10 for rpm=500; (a) signal along s, (b) contours of modulus, and (c) contours of phase

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Figure 8

Wavelet transform of u′ in the spanwise direction at y+=10 for rpm=500; (a) signal along z, (b) contours of modulus, and (c) contours of phase

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Figure 9

Turbulent kinetic energy budget in the wall region; (a) rpm=200, (b) rpm=500, (c) rpm=1000, and (d) ratio of production of k relative to its dissipation rate

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Figure 10

Coriolis terms in the Reynolds stress budgets in the wall region




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