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arXiv 1610.02100cond-mat.softq-bio.QM
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流动介质中悬浮刚性聚集颗粒的动力学:理论、分析和科学计算

Dynamics of suspended rigid aggregating particles in flowing medium: theory, analysis and scientific computing

Sarthok Sircar, Anthony J. Roberts

摘要:

我们开发并提出了一个统一的多尺度模型(涉及三个尺度的空间组织)来研究刚性聚集颗粒悬浮在粘性流体介质中的动力学,并受到稳定的pointenille流。在微观层次上,利用描述两个刚性球表面涂有结合配体的粘附/分离动力学的粘附理论来描述碰撞频率函数。中尺度动力学概述通过一个连续的一般动力学方程的时间变化率的颗粒尺寸分布函数。微-介耦合是通过平衡介尺度拖曳力来实现的,并与结合剂动力学相关的微尺度力耦合。在宏域内部(即,一个长管道),该模型是方程自由的,并分为相等大小的补丁。通过适当的(外推)耦合和振幅条件下获得每个补丁内的宏观尺度的解决方案。

英文摘要:

We develop and present a unified multi-scale model (involving three scales of spatial organisation) to study the dynamics of rigid aggregating particles suspended in a viscous fluid medium and subject to a steady poiseuille flow. At micro-level, the theory of adhesion describing the attachment / detachment kinetics of two rigid spheres coated with binding ligands, is utilized to describe the collision frequency function. The meso-scale dynamics is outlined through a continuous general dynamic equation governing the time rate of change of the particle size distribution function. The micro-meso coupling is achieved via the balancing of the mesoscale drag forces and couples with the micro-scale forces associated with the binder kinetics. Inside the macro domain (i.e., a long pipe), the model is equation free and divided into equal sized patches. The macroscale solution within each patch is obtained via appropriate (extrapolatory) coupling and amplitude conditions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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