A method for coarse graining fluctuation velocities in granular flows

IF 2.3 3区 工程技术 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Granular Matter Pub Date : 2023-06-01 DOI:10.1007/s10035-023-01338-7
Neiladri S. Ray, Devang Khakhar
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Abstract

The granular temperature, which is the mean kinetic energy per unit mass of velocity fluctuations, is an important rheological parameter for granular flows. Artoni and Richard (Phys Rev E 91: 032202, 2015) showed that accurate calculation of the fluctuation velocity during coarse graining requires the subtraction of the mean velocity at the position of the particle since the variation of the mean velocity over the coarse graining domain may be of the same order as the fluctuation velocity. This requires a two-step calculation. In this study, a single-step method of calculating granular temperatures is proposed. The values obtained by this method for a simulated system of inclined surface flow of granular materials are compared with those obtained using earlier methods and are shown to be accurate.

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一种计算颗粒流中粗粒波动速度的方法
颗粒温度是颗粒流动的一个重要流变参数,它是每单位质量速度波动的平均动能。Artoni和Richard (Phys Rev E 91: 032202, 2015)指出,要精确计算粗粒化过程中的波动速度,需要减去粒子所在位置的平均速度,因为粗粒化过程中平均速度的变化可能与波动速度具有相同的量级。这需要两步计算。本文提出了一种单步计算颗粒温度的方法。用该方法对颗粒物料倾斜表面流模拟系统的数值与以往方法的数值进行了比较,结果表明该方法是准确的。
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来源期刊
Granular Matter
Granular Matter Materials Science-General Materials Science
CiteScore
4.60
自引率
8.30%
发文量
95
审稿时长
6 months
期刊介绍: Although many phenomena observed in granular materials are still not yet fully understood, important contributions have been made to further our understanding using modern tools from statistical mechanics, micro-mechanics, and computational science. These modern tools apply to disordered systems, phase transitions, instabilities or intermittent behavior and the performance of discrete particle simulations. >> Until now, however, many of these results were only to be found scattered throughout the literature. Physicists are often unaware of the theories and results published by engineers or other fields - and vice versa. The journal Granular Matter thus serves as an interdisciplinary platform of communication among researchers of various disciplines who are involved in the basic research on granular media. It helps to establish a common language and gather articles under one single roof that up to now have been spread over many journals in a variety of fields. Notwithstanding, highly applied or technical work is beyond the scope of this journal.
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