Open Access

ARTICLE

Turbulentlike Quantitative Analysis on Energy Dissipation in Vibrated Granular Media

Zhi Yuan Cui¹, Jiu Hui Wu¹, Di Chen Li¹

1 State Key Laboratory for Manufacturing Systems Engineering, School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, P.R. China

Computer Modeling in Engineering & Sciences 2011, 71(2), 149-156. https://doi.org/10.3970/cmes.2011.071.149

Abstract

A quantitative rule of the vibrated granular media's energy dissipation is obtained by adopting the turbulence theory in this letter. Our results show that, similar to the power spectrum in fully developed fluid turbulence as described in Kolmogorov's theory, the power spectrum of vibrated granular media also exhibits a k - 5 / 3 (k is the wave number) power which characterizes the local isotropic flow. What's more, the mean energy dissipation rate in vibrated granular media rises with the increase of particle size and volume ratio. The theoretical results in this letter can be verified by the previous experimental results as well.

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Keywords

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