Numerical simulation of the dynamics and calculation of the rheological characteristics of the dispersed systems using BEM

Abstract

Abstract Dispersed systems of various types occupy a significant place in nature, technology, and everyday life. Unfailing interest in this field is shown by researchers from the physics and mechanics, colloid chemistry, micro-manufacturing, and biology, which is due to the variety of phenomena and effects associated with dispersed systems of different nature. High-efficient computational techniques for direct modeling of the dispersed system are required to more accurately determine the rheological parameters of such systems, based on the calculated properties of its components. The present work is dedicated to the numerical investigation of the dispersed system features in a shear flow at low Reynolds numbers using the boundary element method. The results of the simulations and the method details are discussed. Calculations are presented for different types of dispersed inclusions. Viscous droplets and rigid particles of different shapes in a volume of carrier viscous liquid are considered. Furthermore, the standard viscometric functions that characterize the behaviour of an emulsion or suspensions, regarded as a homogeneous medium, are calculated and studied.