Eutectic dynamic melting with linear change of

Eutectic dynamic melting with linear change of K  

We assume linear variation of mineral melt partition coefficient 

The following relationship between F and X, which is the fraction of the extracted melt relative to the initial solid, is necessary to express as 

We prefer the expression in Eq. (3.24) because both F and X are relative to the original mass before melting but E is relative to the total residue. By substituting Eq. (3.24) into Eq. (3.24), we obtain 

If 0 = 0 and a =0 for all i, which is the case for perfect fractional melting with constant mineral/melt distribution coefficients, Eq. (3.26) reduces to the following equation of Shaw (1970)  

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