Numerical study of the rheological characteristics of dispersed systems in shear flow using the boundary element method

Dispersed systems are widely used in chemical, biochemical and pharmaceutical industries. This work is dedicated to the study of the dependence of macroscopic parameters of emulsions, such as effective viscosity, on the  microlevel structure and physical properties of emulsion droplets. The numerical approach is based on the accelerated boundary element method in three dimensions. In this paper, we consider the dynamics of two close deformable droplets of equal radius in the volume of a viscous incompressible fluid under the action of a shear flow. Time evolution of minimal distance between droplet surfaces has been considered. A parametric study of the dispersed phase  contribution to the stress tensor of a dispersed system as a whole, as well as the first and second differences of normal stresses, is conducted.