Method to Calculate the Effect of a Concentration-Dependent Diffusion Coefficient on the Linear Growth of Rods and Plates
Colin Atkinson · Journal of Applied Physics · 1969
A method is described to deal with the problem of a rod (elliptical paraboloid) or a plate (parabolic cyclinder) growing uniformly in a matrix where the diffusion coefficient depends on concentration. As an example, the method is applied to the case where the diffusion coefficient has the form D=D0 exp (A0C+A1C2), where D0, A0, and A1 are constants, and C is the concentration.