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

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.