onsider the model of the electrically heated stirred-tank system in Section 2.4.3. Subscript e refers to the heating element:

(a) Derive transfer functions relating changes in outlet temperature T to changes in the two input variables: heater input Q(assuming no change in inlet temperature), and inlet temperature T_i (for no change in heater input).
(b) Show how these transfer functions are simplified when negligible thermal capacitance of the heating element  (m_eC_e †’ 0) is assumed.

Transcribed Image Text:

mcdT = wC(T; – T) + h_A,(T. – T) dt ат, m.C. = Q - hA¸(T. – T) dt