A SIMPLE DERIVATION OF ROTNE-PRAGER TENSOR AND HYDRODYNAMIC INTERACTIONS BETWEEN TWO SPHERES

We have given a simpler derivation of the Rotrie-Prager tensor based on the exact fluid velocity formula for a uniform flow past a sphere in low Reynolds number regime. For two identical spheres in uniform flow, we have given the hydrodynamic interaction profiles for different distances and angles, which are formed between the flow directions and the connection lines of two spheres. The lift forces perpendicular to the flow directions are responsible for the migration phenomenon in the vorticity direction of a chiral object in shear flow.