The 2015 Grenville‐Mak‐Brown (GMB) correlation for predicting the just suspended condition assumes that the length scale of the suspending eddy is equivalent to the particle diameter. This article investigates the role of the time scale of the relevant eddies with respect to the particle response time. The local turbulence just above the tank bottom is gauged by means of single‐phase LESs at the just suspended conditions determined in new experiments in dilute suspensions. By means of a novel nondimensional Suspension number we found that the relevant suspending eddies in the inertial subrange are 1.2–1.5 times larger than the particle size while the required eddy time scale is of the order of two times the particle response time. Further, we concluded that the mean energy dissipation rate is a suitable approximation of the local energy responsible for suspension. These results do not impact the effectiveness of the GMB correlation.

中文翻译：

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将固体颗粒悬浮在湍流搅拌容器中的光谱方法

2015年Grenville-Mak-Brown（GMB）关联用于预测正好悬浮的条件是假设悬浮涡的长度尺度等于粒径。本文研究了有关涡旋的时间尺度相对于粒子响应时间的作用。在新的稀悬浮液实验确定的悬浮状态下，通过单相LES测量罐底上方的局部湍流。通过新的无量纲悬浮数，我们发现惯性子范围内的相关悬浮涡旋比颗粒尺寸大1.2–1.5倍，而所需的涡旋时间尺度是颗粒响应时间的两倍。进一步，我们得出的结论是，平均能量耗散率是造成悬浮的局部能量的合适近似值。这些结果不会影响GMB相关性的有效性。