  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.
