Diffusion-controlled exchange of a finite cylinder with a finite amount of well-mixed gas
Wesley M. Jones · Journal of Applied Physics · 1973
A substance is considered to diffuse into a finite cylinder through its entire surface from a finite amount of well-mixed gas which is at concentration equilibrium with the surface. Equations are derived for the time dependence of the amount of substance in the cylinder and its concentration at a point. The results are developed mainly in terms of isotopic self-diffusion (as in the diffusion-controlled exchange of isotopic oxygen with an oxide), but may also be applied to the diffusion of an inert substance or to a heat conduction situation.