M. Danielewski et al., INTERDIFFUSION IN R-COMPONENT (R-GREATER-THAN-OR-EQUAL-TO-2) ONE-DIMENSIONAL MIXTURE SHOWING CONSTANT CONCENTRATION, Polish Journal of Chemistry, 68(10), 1994, pp. 2031-2047
Darken's idea of separation of diffusional and drift flows and the pos
tulate that the total mass flow is a sum of diffusion and translation
only, are applied to the general diffusional transport in r-component
system (process defined as chemical interdiffusion in unidimensional m
ixture). Continuity equations, Darken's flux formulas, the postulate o
f constant molar volume of the mixture (valid e.g. in solid solutions)
and the initial and boundary conditions form a self-consistent interd
iffusion problem. This problem is analyzed in open as well as closed s
ystems and with diffusivities dependent on composition. The variationa
l form of the interdiffusion problem is derived. It has been proved th
at in a closed system the gradients of density of each mixture compone
nt vanish at the mixture boundaries. Results of numerical simulation o
f interdiffusion in binary alloys are presented.