Question: A linearized model for a stirred-tank heat exchanger is derived in Example for a change in the coolant flow rate. Extend these results by deriving the model for simultaneous changes in the coolant flow rate and inlet temperature. Also, determine an analytical expression for the outlet temperature T'(t), for simultaneous step changes in the coolant flow and inlet temperature.
Example: Stirred-tank heat exchanger To provide another simple example of an energy balance, the stirred-tank heat exchanger in Figure is considered.
