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首页> 外文期刊>Journal of industrial and engineering chemistry >Estimation of hindered settling velocity of suspensions
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Estimation of hindered settling velocity of suspensions

机译：悬浮液沉降速度的估算

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Four effective-medium models (EM-i, II, III, IV) are utilized and compared for determining hindered settling velocity of equi-sized particles in a viscous fluid. Among the models, EM-IV model is found to accurately predict the effective viscosity and the hindered settling velocity of monodisperse suspensions. In EM-IV model which was developed for determining the diffusivity of proteins in a biological membrane by Dodd et al. [T.L. Dodd, D. A. Hammer, A.S. Sangani, D.L. Koch, J. Fluid Mech. 293 (1995) 147], the effective-medium region begins at the distance R = a[(1 - S(0))/φ]~(1/3) from the origin where the center of the test particle is located, where a is the radius of the particle, φ is the volume fraction of the particles in the suspension, and S(0) is the zero wavenumber limit of the structure factor. The estimations by EM-IV model agree very well with the exact calculations and the experimental observations. The hindered settling velocity U of the particles is given, in Richardson-Zaki form, by U/ U0 = (1 -φ)~(5.5). where U_0 is the settling velocity for an isolated particle.
机译：利用四个有效介质模型（EM-1，II，III，IV）并进行比较，以确定粘性流体中等尺寸颗粒的受阻沉降速度。在这些模型中，发现了EM-IV模型可以准确预测单分散悬浮液的有效粘度和受阻沉降速度。在EM-IV模型中，Dodd等人开发了该模型来确定蛋白质在生物膜中的扩散性。 [T.L. Dodd，D.A.Hammer，A.S. Sangani，D.L. Koch，J。流体机械。 293（1995）147]，有效介质区域始于距测试粒子中心所在的原点的距离R = a [（1- S（0））/φ]〜（1/3），其中a是粒子的半径，φ是悬浮液中粒子的体积分数，S（0）是结构因子的零波数极限。 EM-IV模型的估计与精确计算和实验观察非常吻合。以Richardson-Zaki的形式，通过U / U 0 ＝（1-φ）〜（5.5）给出颗粒的受阻沉降速度U。其中U_0是孤立粒子的沉降速度。

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