Algorithm for the Heat Exchange Area Target

As each match is successively placed in the interval, the minimum number of matches can be achieved because there is one fewer stream to match and the CP ratio of the remaining streams (i.e., ratio of 2 CPh and 2 CPc of the remaining streams) in the interval still satifies the CP ratio between the composite curves. 

It is thus always possible to achieve the interval design with (S -1) matches and each match operating with the log mean temperature difference of the interval.  

Now consider the heat transfer area required by enthalpy interval k, in which the overall heat transfer coefficient is allowed to vary 

ATlma = log mean temperature diflEerence for enthalpy interval k Qij = heat load on match between hot stream t and cold stream 

Uij = overall heat transfer coefficient between hot stream i and cold stream j 

---