Diffusion in homogeneous layer with cylindrical hole partially filled by diffusing substance

摘要

The paper deals with the stationary problems of diffusion in a homogeneous isotropic layer with a cylindrical hole. The hole is partially filled by diffusing substance. The considered problem is described within the framework of the Fick's law and the integral Weber-Orr transform method is applied to solve it. The obtained exact results expressed by integrals will be presented in the form of figures.