Numerical study of the deformation and rheology characteristics of the emulsion droplets using the boundary element method

The present paper is dedicated to the investigation of the 3D dynamics of two viscous immiscible liquids in an unbounded domain at low Reynolds numbers. The numerical technique is based on the boundary element method. To accelerate the calculations and increase the problem scale the parallelization of computations on graphic processors (GPU) using CUDA technology is used. The inclination angle and the deformation of droplets in a shear flow at various parameters are studied. The obtained results are compared with the experimental data represented in the literature, numerical results and the small deformations theory. The calculation of rheological characteristics for dilute emulsions in shear flow is carried out for different viscosity ratios of internal and external liquids.