Dimensional Analysis and Dissipation Rate Estimation in the Near Wake of a Circular Cylinder


A particle image velocimetry (PIV) experiment is performed for dissipation rate estimation in the near wake behind a circular cylinder with diameter D of 12 mm and corresponding Reynolds number of 7100. Considering the limitation of PIV resolution, a large eddy PIV method based on idea of large eddy simulation (LES), is used for more accurate estimation of dissipation rate. Based on the dynamic equilibrium assumption in the inertial subrange, the dissipation rate of the subgrid scales is approximated by the subgrid scale (SGS) flux, computed from PIV velocity fields and Smagorinsky model for SGS stress. A dimensional analysis about the integral length scale and the Kolmogorov length scale is discussed firstly to verify whether the dynamic equilibrium assumption holds or not.

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Zhang, X. , Wei Zhong, W. , Yang, J. and Liu, M. (2014) Dimensional Analysis and Dissipation Rate Estimation in the Near Wake of a Circular Cylinder. Journal of Applied Mathematics and Physics, 2, 431-436. doi: 10.4236/jamp.2014.26052.

Conflicts of Interest

The authors declare no conflicts of interest.


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