As shown in the figure below, a jacketed container is used to cool the process stream. Some information is given for this process; (i) The volume of liquid inside the tank, V and the volume of refrigerant in the jacket, VJ, are constant. The volumetric flow rate qF is constant. But qJ changes over time. (ii) the heat transfer coefficients through the jacketed container are negligible. (iii) the tank contents and jacket contents are well mixed and have significant heat capacitances. (iv) the thermal capacitances of the tank wall and jacket wall are negligible. (v) The overall heat transfer coefficient used for heat conduction between the tank liquid and the coolant varies with the coolant flow rate: U = K.qJ0,8 Here, U (Btu / hr.ft2.0F), qJ (ft3 / hr), K (constant)
As shown in the figure below, a jacketed container is used to cool the process stream. Some information is given for this process;
(i) The volume of liquid inside the tank, V and the volume of refrigerant in the jacket, VJ, are constant. The volumetric flow rate qF is constant. But qJ changes over time.
(ii) the heat transfer coefficients through the jacketed container are negligible.
(iii) the tank contents and jacket contents are well mixed and have significant heat capacitances.
(iv) the thermal capacitances of the tank wall and jacket wall are negligible.
(v) The overall heat transfer coefficient used for heat conduction between the tank liquid and the coolant varies with the coolant flow rate:
U = K.qJ0,8
Here, U (Btu / hr.ft2.0F), qJ (ft3 / hr), K (constant)
Derive the dynamic model for this system. Perform a degree of freedom analysis. Do not forget to write down any additional assumptions!
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