Measurement of the filtration diffusivity D(ϕ) of a flocculated suspension
Measurement of the filtration diffusivity D(ϕ) of a flocculated suspension
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絮凝悬浮液过滤扩散率 D(φ) 的测量
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
L. White
中科院分区：
文献类型：
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作者：
K. Landman;J. Stankovich;L. White
在使用压缩流变学对絮凝悬浮液的加压过滤进行建模时，过滤扩散率函数D（λ）在确定过滤过程的时间尺度中起到扩散系数的作用。其对体积分数的依赖性是过滤过程设计中的重要因素。单位膜的滤液体积表示为V = βt1/2。β的值取决于D（λ），文献中讨论了涉及数据微分的两者之间的各种关系。这涉及一个未知但有界的参数。这里，进行了物理近似，证明将该参数设置为零是合理的。此外，确定了β2在D（λ）方面的避免数据微分的新的近似表达式。或者，受阻沉降因子可以从涉及β数据与施加压力的数据微分的解析表达式中恢复。这些近似的准确性进行评估。
In modeling the pressure filtration of flocculated suspensions using compressional rheology, the filtration diffusivity function D(ϕ) plays the role of a diffusion coefficient in determining the time scale of the filtration process. Its dependence on volume fraction is an important factor in filtration process design. The volume of filtrate expressed per unit membrane is V = βt1/2. The value of β depends on D(ϕ) and various relationships between the two that involve data differentiation have been discussed in the literature. These involve an unknown but bounded parameter. Here a physical approximation is made that justifies setting this parameter to zero. Further, a new approximate expression for β2 in terms of D(ϕ) that avoids data differentiation is determined. Alternatively, the hindered settling factor can be recovered from an analytic expression involving data differentiation of β data with applied pressure. The accuracy of each of these approximations is assessed.