A jacketed vessel is used to cool a process stream as shown in figure. The following information is available:

(i) The volume of liquid in the tank V and the volume of coolant in the jacket Vi remain constant. Volumetric flow rate qF is constant but qJ, varies with time.

(ii) Heat losses from the jacketed vessel are negligible.

(iii) Both the tank contents and the jacket contents are well mixed and have sign1uieant thermal ca pacitances.

(iv) The thermal capacitances of the tank wall and the jacket wall are negligible.

(v) The overall heat transfer coefficient for transfer between the tank liquid and the coolant varies with coolant flow rate:

Derive a dynamic model for this system. (State any additional assumptions that youmake.)

Transcribed Image Text:

U Kay8 where U[=] Btu/h ft? F 4,(=] fe/h K= constant