An Automated Computation of Diffusion Equation Solutions

Abstract

The range of applicability and the level of accuracy of the Wilson, Carman-Haul, and Crank equations and Shibusawa's approximations are revealed through detailed numerical computations. Also discussed is a calculator program which completely automates the computations involved in describing finite and infinite bath diffusion in a cylinder, resulting in a general accuracy to 4-5 significant figures in M t /M α or (Dt/r 2 ) 1/2 ,