Chilled ethylene glycol (sp gr = 1.11) is pumped through the shell side of a condenser and a control valve at a nominal flow rate of 200 gal/min. The total pressure drop over the entire system is constant. The pressure drop over the condenser is proportional to the square of the flow rate and is 30 psi at the nominal flow rate, Make plots of flow rate versus valve stem position ℓ for linear and equal percentage control valves, assuming that the valves are set so that f(ℓ) = 05 at the nominal flow rate. Prepare these plots for the situations where the pressure drop over the control valve at the design flow is

(a) 5 psi

(b) 30 psi

(c) 90 psi

What can you conclude concerning the results from these three sets of design conditions? In particular, for each case comment on linearity of the installed valve, ability to handle flow rates greater than nominal, and pumping costs.