DIFFUSION IN MULTICOMPONENT METALLIC SYSTEMS: IV. A GENERAL THEOREM FOR CONSTRUCTION OF MULTICOMPONENT SOLUTIONS FROM SOLUTIONS OF THE BINARY DIFFUSION EQUATION

Abstract

If C = C(x, y, z, Dt) is a solution of the binary diffusion equation[Formula: see text]for a given boundary condition, then[Formula: see text]where[Formula: see text]is a solution of[Formula: see text]for the ith component of an n-component system subject to the same formal boundary condition. As an example, the ternary diffusion field about an initial point source is calculated. The method of calculation for steady state and transient equilibrium is indicated.