Dynamics of suspended rigid aggregating particles in flowing medium: theory, analysis and scientific computing
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.
Cite
@article{arxiv.1610.02100,
title = {Dynamics of suspended rigid aggregating particles in flowing medium: theory, analysis and scientific computing},
author = {Sarthok Sircar and Anthony J. Roberts},
journal= {arXiv preprint arXiv:1610.02100},
year = {2016}
}
Comments
25 pages, 3 figures. arXiv admin note: text overlap with arXiv:1312.1415