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

Source: [Dynamics of suspended rigid aggregating particles in flowing medium: theory, analysis and scientific computing](<https://www.sota2.com/research/paper/68fa347e1e209131ce899698>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:53:51.456Z

Authors: Sarthok Sircar, Anthony J. Roberts

Published: 2016-10-06T23:41:21.000Z

## Abstract

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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1610.02100>)

[PDF](<https://arxiv.org/pdf/1610.02100.pdf>)