VISCOUS INTERACTION FORCES OF TWO PULSATING SPHERES IN A FLUID NEAR THEIR CONTACT POINT

Abstract

We consider the interaction between two spherical bubbles of variable radii during their movement along their centerline in a viscous fluid. The Stokes stream function is found in bispherical coordinates as an expansion in Gegenbauer polynomials. Viscous forces that act on the sphere are represented as infinite series. Their asymptotics near the contact point is found.