Hydrodynamic and thermal interaction between two spheres in a steady viscous flow

The investigation of the hydrodynamic and thermal interaction between two spheres moving in a viscous fluid is very important from a practical and fundamental point of view. This problem is topical in modeling of suspensions, emulsions and many chemical technologies. An extension of the method of fractional steps to study the hydrodynamic and thermal interaction between two spherical particles in a steady viscous flow is presented. This numerical method yields good results from low to reasonably high Reynolds and Prandtl numbers.