Eutectic batch melting with linear change of

Eutectic batch melting with linear change of K  

We then expand K f) in a Taylor series and only retain terms up to the first order 

The above simple assumption of linear variation of K f) as a function of F is at least appropriate for evaluating the major effects of decreasing or increasing distribution coefficients (Greenland, 1970 Hertogen and R., 1976). More complicated forms of the distribution coefficients as a function of F can also be assumed however, they involve more parameters and do not necessarily better describe the variations in distribution coefficients. 

If p is also a function of F, then Eq. (1.9) for mass conservation of phase i should be replaced by 

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