Question: 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

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

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

(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.

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

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a First write the steadystate equations 0 wCT i T h e A e T e T 0 Q h e A e T e T Now subtract the s... View full answer

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