The split-fraction concept

Uj i i = the fraction of the total flow of component k entering unit i that leaves in the outlet stream connected to the unit j the split-fraction coefficient , gi 0 lc = any fresh feed of component k into unit i flow from outside the system (from unit 0). 

The flow of any component from unit i to unit j will equal the flow into unit i multiplied by the split-fraction coefficient. 

The value of the split-fraction coefficient will depend on the nature of the unit and the inlet stream composition. 

A similar material balance can be written at the inlet to each unit  

This is simply a set of three simultaneous equations in the unknown flows kik, k2k, k2k-These equations are written in matrix form  

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