Caractérisation de la dispersion avec un modèle fractionnaire

Mustapha Cherifi , Ganming He , Victor Mastrangelo , Michèle Mastrangelo , Marcelo Piva , Susana Gabbanelli , Marta Rosen , José Eduardo Wesfried
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引用次数: 1

Abstract

We use the fractional dispersion concept to analyse the anomalous diffusion regime shown in a tracer dispersion in a hydrodynamical Taylor-Couette experiment. The anomalous diffusion is characterized with a parameter a (diffusion exponent), equal to two for the Gaussian diffusion. The results of the fractional advection-diffusion equa lion are compared to the concentration curves of the residence time distributions obtained in the experiment and to those from a coupled advection-diffusion model. The diffusion exponent, the generalized diffusion coefficient and the axial velocity are evaluated by fit.

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用分数模型表征色散
我们使用分数色散的概念来分析在流体动力学泰勒-库埃特实验中示踪色散所显示的异常扩散制度。反常扩散用参数a(扩散指数)来表征,对于高斯扩散,参数a等于2。将分数阶平流扩散方程的计算结果与实验得到的停留时间分布浓度曲线以及平流扩散耦合模型的计算结果进行了比较。通过拟合求出扩散指数、广义扩散系数和轴向速度。
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