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A process stream is cooled from T_{1} temperature to T_{2} temperature by river water in a shell and tube heat exchanger. Because pollutants in river
A process stream is cooled from T_{1} temperature to T_{2} temperature by river water in a shell and tube heat exchanger. Because pollutants in river water cause scale formation problems, it is necessary to use an anti-pollution chemical (ASC). The amount of chemicals required according to the outlet temperature of the river water was determined experimentally as given below. Chemical cost is 2000\$/k * g' *. The pumping cost is directly proportional to the amount of water supplied. The pumping cost of river water is $1500 per year for an outlet temperature of 40C. Determine the objective function and the optimum outlet temperature of the river water.
Data Trw,out(C): 34,36,38,40,42,44,46 | ASC(kg/year): 0.54 , 0.64 , 0.74 , 0.82 ,0.93, 1.04, 1.16
and Trw,input = 25 C
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