About the problem of flow past around thin profiles

Abstract

In this paper some approaches to solving the problems of flow past around thin profiles are presented. We consider the problem of flow past around a contour defined by a set of segments, each of which is close to the segment ( a; a). A formula that gives an approximate velocities distribution in a flow flowing around a system of thin profiles is obtained. A mixed boundary-value problem for an analytic function in the upper half-plane is studied. A system of singular integral equations having a unique solution up to two arbitrary constants in the class of functions that are boundary values of analytic functions in the upper half-plane is obtained. Considered the generalized problem of flow past around thin profiles for infinite numbers of thin profiles.