Construction of complex potentials for multiply connected domains with given boundary circulations and fluxes

Abstract

We present the approximate analytical method of construction for the complex potential of the locally sourceless, locally irrotational plane flow in a multiply connected infinite domain. The velocity at infinity, the circulations around the impermeable boundary components and the fluxes across the permeable boundary components are given. The method is based on reduction of Fredholm integral equation to the linear system. This method is easily computable.