Thermoeconomics of extraction

Example 5.6 Thermoeconomics of extraction Consider a steady-state operation in which the forces are uniformly distributed the investment cost C of a transfer unit is assumed to be linearly related to size I. and operating costs C0 are linearly related to exergy consumption 

T0 is a reference temperature (dead state) and AExm a thermodynamic minimum value. The total flow J=LVXav can be written by using Eq. (5.81) 

Ehminating the constant (average) force A av between Eq. (5.83) and the total entropy production d av = JAY.lv, we obtain 

Substituting the above equation into Eq. (5.81) and the latter into Eq. (5.82), a relationship between the operating and investment costs is obtained 

The optimal size is obtained by minimizing the total operating and investments costs, which are linearly amortized with the amortization rate r. CT(Q) = rC, = C0. The minimum of Cx is obtained as dCT/dCl = 0, and we 

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