Abstract
The equation developed by Neuman et al. [1] from the Rayleigh fractionation law is expressed as: C 1C/ 0= F (D − 1) Since the residual melt fraction F is not directly connected with the mass fraction of phase i in the solid x i, it is necessary to assign a series of arbitrary values to one of these variables. The modelling which results from using Rayleigh's equation is thus externally controlled and as such has little real significance. By introducing the variable y i to represent the mass of phase i in the solid in relation to the initial mass, we obtain F = 1 − Σy i and the previous equation can be rewritten: C 1C/ 0= (1 − Σy i) (Σy iK i/Σy i− 1) From this form of the equation it is possible to find the other system variables for known values of K i, C 1 and C 0 where K i represents the solid-liquid partition coefficient and C 1 and C 0 are the concentration of the differentiated and parent melts respectively. The system of simultaneous equations can be solved by least-squares methods and applied to the study of natural systems.
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