In the continuous stirring system shown in the following figure, the raw material fluid is supplied at a mass flow rate m , and the supply temperature and outlet temperature are T and T, respectively. The wall temperature is Tw and can be used as a control variable. It is assumed that the wall is insulated from the outside. Answer the question. Ti.m Tim Vip T (1) When the total heat transfer coefficient and heat transfer area are U and A, and the specific heat of the fluid is Cp, derive the energy balance equation of the system given above. (However, change due to temperature of Cp is ignored.) (2) If the temperature and mass flow rate of the supply are measurable and there is disturb- ance in these variables, design a feedforward controller to keep the outlet temperature at Tsp, and illustrate the control structure (3) Since it is difficult to use the wall temperature as a direct control variable, it is intended to adjust the wall temperature by adjusting the supply flow rate of hot water after installing a jacket in the stirrer. In this case, illustrate and explain the structure of the wall temper- ature controller combined with the steady-state feedforward controller from (2). (However, the fluid inside the jacket is completely mixed, and the exit temperature of the jacket (T;) and the wall temperature are the same (Tw = T;).) =