Modelling of deposition of flexible fractal-like aggregates on cylindrical fibre in continuum regime

•Developed new flexible fractal-like aggregate mathematical model.•Deposition ratios of flexible aggregates has been collected in Kuwabara cell model.•Deposition ratios has been collected for aggregates with different values of fractal dimension, different values of velocity of ambient air and different values of spring constants.

A new mathematical model of aggregate composed of N primary spherical particles has been created. The aggregate structure is modelled as an elastic body, capable of undergoing stretching, bending and twisting, during its movement in fluid. An aggregate is defined as a system of spherical particles joined together by springs, and the stiffness of structure is maintained by potential energy functions. Aggregate movement has been tracked in a Kuwabara cell model for three different values of velocity in continuum regime. The deposition efficiency of aggregates on a cylindrical collector has been related to the fractal dimension of aggregates, velocity of air and spring constant, which determine the magnitude of deformation of the aggregate structure. It was found that fractal dimension, velocity of air and imposed parameters of oscillations constants, strongly influence the deposition efficiency of aggregates.