Fractal derivative multi-scale model of fluid particle transverse accelerations in fully developed turbulence  

作　　者：HongGuang Sun Wen Chen 

机构地区：[1] Department of Engineering Mechanics, Hohai University, Nanjing, 210098, China

出　　处：《Science China(Technological Sciences)》2009年第3期680-683,共4页中国科学（技术科学英文版）

基　　金：Supported by the Program for New Century Excellent Talents in University China (Grant No. NCET-06-0480)

摘　　要：The Tsallis distribution and the stretched exponential distribution were successfully used to fit the experimental data of turbulence particle acceleration published in Nature (2001), which manifested a clear departure from the normal distribution. These studies, however, fall short of a clear physical mechanism behind the statistical phenomenological description. In this study, we propose a multi- scale diffusion model which considers both normal diffusion in molecular-scale and anomalous diffu- sion in vortex-scale, and the latter is described by a novel fractal derivative modeling approach. This multi-scale model gives rise to a new probability density function which fits experimental data very well.The Tsallis distribution and the stretched exponential distribution were successfully used to fit the experimental data of turbulence particle acceleration published in Nature (2001), which manifested a clear departure from the normal distribution. These studies, however, fall short of a clear physical mechanism behind the statistical phenomenological description. In this study, we propose a multiscale diffusion model which considers both normal diffusion in molecular-scale and anomalous diffusion in vortex-scale, and the latter is described by a novel fractal derivative modeling approach. This multi-scale model gives rise to a new probability density function which fits experimental data very well.

关 键 词：fully developed HOMOGENEOUS turbulence probability density function (PDF) ANOMALOUS diffusion power-stretched Gaussian distribution (PSGD) FRACTAL DERIVATIVE 

分 类 号：TB126[理学—工程力学]