Low Reynolds number deformation of viscous drops in a bounded flow region under surface tension

This paper presents a novel formulation of the completed indirect boundary element method to study the deformation of viscous drops on a slow viscous flow in a bounded region subject to surface tension effects. The theoretical background to the technique is explained in detail, including mathematical proofs of existence and uniqueness of solutions of the second-kind Fredholm integral equations generated. The computer implementation of the formulation is simple and efficient. Numerical results of several tests are included.