To solve one problem of magnetostatics for a pipe with a defect on the inner surface

Abstract

An algorithm has been developed and implemented for the numerical solution of a direct linear magnetostatics problem by calculating the resulting field of a pipe with a surface defect on its inner wall under the assumption that the perpendicular section of the pipe and the vector of the intensity of the external magnetizing field remain unchanged along the axis of the length of the pipe - this made it possible to take as a basis the two-dimensional integro-differential equation of magnetostatics. The algorithm is implemented in the FORTRAN programming language. The results are tested for reliability using precisely solved problems. Illustrative curves are constructed. The possibilities of applying the obtained calculation methodology for a class of problems that differ in some way in formulation are indicated.