Stream Matching and Network Synthesis

The solution to this program yields the following results Objective value 0.1168831E-02 

Having identified the values of all the flowrates of lean streams as well as the pinch location, we can now minimize the number of mass exchangers for a MOC solution. As has been previously mentioned, when a pinch point exists, the synthesis problem can be decomposed into two subnetworks, one above the pinch and one below the 

we define the binary variable Ei j, , which takes the values of 0 when there is no match between streams / and j in SN , and takes the value of 1 when there exists a match between streams i and j (and hence an exchanger) in SN . Based on Eq. (6.13), one can write 

Material balance for each rich stream around composition intervals  

Mthin any subnetwmk, the mass exchanged between any two streams is bounded by the smaller of die two loads. Therefore, the u[ per bound on tlm exchangeable mass between streams i and j in SNm is given by 

we define the binary variable winch takes the vsdues of 0 when thme 

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