In a double pipe heat exchanger, Mh Ch = 0.5 McCc, ‘M’ denotes mass flow rate (kg/s), ‘C’ denotes specific heat (J/kg K), and suffix ‘h’ and suffix ‘c’ denote hot and cold fluid, respectively. The hot and cold fluids enter the heat exchanger at temperatures Th1 and Tc1, respectively. Deduce an expression, in terms of Th1 , Tc1 and Th2 , for the ratio of the area of a counter-flow exchanger to that of a parallel flow exchanger which will give the same hot fluid outlet temperature Th2. What is this ratio if Th1 = 150°C,
Tc1 = 30°C and Th2 = 90°C?