A tank contains a liquid that is being heated via an electric heater. The liquid enters the tank at a constant temperature and mass flow rate and exits the tank at a higher temperature. The tank is assumed to be perfectly mixed, and there are no heat losses. The liquid in the tank has a constant density and specific heat capacity, and the volume of the tank is constant.

Apply material and energy balances and derive the dynamic model. Then, using nominal values at the initial steady state, convert this model into a deviation scale.

Tim Tim