Define appropriate variables and formulate equations for the temperature of liquid in the vessel, the temperature of the thermo‐well, the temperature of the thermocouple, and the steam flow rate.
Calculate transient profiles of temperature for two values of controller gains (steam flow rate = controller gain x temperature difference between steam and thermocouple) as 2 and 6 in appropriate units.
Discuss the implications of larger C1 or C2 and what will happen if the existing thermo‐well is replaced by a larger thermo‐well.
Discuss possible ways of reducing the response time of the temperature controller.