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摘要翻译：
已知颗粒通过大孔的流量与直径的关系为5/2幂律。对于大的出口尺寸，这种关系已经得到了检验，而对于小的开口，则需要一个经验拟合参数来重现这种行为。在这项工作中，我们提供了实验数据和数值模拟，涵盖了宽范围的出口尺寸，包括三维和二维。这使我们能够证明，只有在考虑小范围的开口时，通常所采用的定律才是令人满意的。我们提出了一个新的颗粒质量流量定律，它正确地再现了所有孔口尺寸的数据，包括非常大和非常小的出口尺寸的行为。
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英文标题：
《The flow rate of granular materials through an orifice》
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作者：
C. Mankoc, A. Janda, R. Ar\'evalo, J.M. Pastor, I. Zuriguel, A.
Garcimart\'in and D. Maza
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Soft Condensed Matter 软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
The flow rate of grains through large orifices is known to be dependent on its diameter to a 5/2 power law. This relationship has been checked for big outlet sizes, whereas an empirical fitting parameter is needed to reproduce the behavior for small openings. In this work, we provide experimental data and numerical simulations covering a wide span of outlet sizes, both in three and two dimensions. This allows us to show that the laws that are usually employed are satisfactory only if a small range of openings is considered. We propose a new law for the mass flow rate of grains that correctly reproduces the data for all the orifice sizes, including the behaviors for very large and very small outlet sizes.
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PDF链接：
https://arxiv.org/pdf/707.455
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