Normalization of the Transfer Function

In the operating point we may write that Fi f) = = Fq. The following time constant is 

The time constant t is the residence time in the tank in the steady-state situation. After introduction of the following time constants, 

The time constant T2 is the total heating time and the time constant is the heating time of the vessel compared with the heating time of the coil. 

Snbstitntion of the mass balance and the equation for the outgoing flow finally results in  

The transfer function from inlet flow SFi to temperature becomes then  

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