A Unified, One Fluid Model for the Drag of Fluid and Solid Dispersals by Permeate Flux towards a Membrane Surface.

A Unified, One Fluid Model for the Drag of Fluid and Solid Dispersals by Permeate Flux towards a Membrane Surface.
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一种统一的单一流体模型,用于通过渗透通量对膜表面的流体和固体分散体的阻力

DOI:
10.3390/membranes11020154
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发表时间:
2021-02-22
期刊:
影响因子:
4.2
通讯作者:
Zhang T
Zhang T
中科院分区:
工程技术4区
文献类型:
--
作者:
Salama A;Sun S;Zhang T

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向膜表面扩散的阻力是过滤过程的结果。这也代表了解决污垢问题的第一步。为了对抗膜污染,了解这种阻力机制并提供建模框架是很重要的。在这项工作中,介绍了一种新的基于单域模型的建模和数值方法,该模型将分散和周围流体作为具有非均质性质场的流体来处理。此外,由于物体的几何形状假定为轴对称且构型保持固定,因此可以使用几何关系计算界面的位置。这减少了定义指示函数和求解双曲方程来更新配置的需要。此外,这种方法简化了计算,大大减少了如果采用双曲方程来跟踪界面所需的计算负担。为了简化计算,我们考虑一个扩展的圆柱形物体的运动。这允许将问题的维度减少到两个,从而在不丧失一般性的情况下减少计算负担。此外,对于这种特殊情况,存在一个近似的解析解,它解释了通常存在于实际系统中的限制边界的影响。我们使用这样的设置来提供不同的平均技术的基准测试,以计算细胞表面和中心的属性,特别是在涉及界面的细胞中。
The drag of dispersals towards a membrane surface is a consequence of the filtration process. It also represents the first step towards the development of the problem of fouling. In order to combat membrane fouling, it is important to understand such drag mechanisms and provide a modeling framework. In this work, a new modeling and numerical approach is introduced that is based on a one-domain model in which both the dispersals and the surrounding fluid are dealt with as a fluid with heterogeneous property fields. Furthermore, because of the fact that the geometry of the object assumes axial symmetry and the configuration remains fixed, the location of the interface may be calculated using geometrical relationships. This alleviates the need to define an indicator function and solve a hyperbolic equation to update the configuration. Furthermore, this approach simplifies the calculations and significantly reduces the computational burden required otherwise if one incorporates a hyperbolic equation to track the interface. To simplify the calculations, we consider the motion of an extended cylindrical object. This allows a reduction in the dimensions of the problem to two, thereby reducing the computational burden without a loss of generality. Furthermore, for this particular case there exists an approximate analytical solution that accounts for the effects of the confining boundaries that usually exist in real systems. We use such a setup to provide the benchmarking of the different averaging techniques for the calculations of properties at the cell faces and center, particularly in the cells involving the interface.
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发表时间: 2020-10-25
期刊: Membranes
影响因子: 4.2
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