How to Obtain the Transfer Function for a Heating System with Dual Tanks?

AI Thread Summary
To obtain the transfer function for a dual tank heating system, the focus is on maintaining the liquid temperature in the outer tank (A) at 40°C, while the inner tank (B) is heated to 45°C. The system consists of an inner tank with a heating coil and an outer tank, where the water level in tank B remains constant with no inflow or outflow. The user has already established a relationship for the transfer function but seeks further guidance on refining it for controller analysis. Key considerations include the thermal dynamics between the tanks and ensuring accurate modeling of the heating process. Clear steps and methodologies for deriving the transfer function are essential for effective control system design.
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i need a help to obtain transfer function for a tank, where a heater is placed. the liquid temperature should be maintained at 45C . no inlet or out let. how to obtain the transfer function?? for analysisng about the controller?
 
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Actually the system is like this. a tank is placed inside another tank. consider outer tank as A and inner as B. the heating coil is placed inside tank B, for the purpose of heat distribution in the liquid inside tank A. tank A has inlets and outlet.
but tank B water level is stationary no inflow or out flow. assume there won't be a mass loss as vapour.
the required temp in outer tank A is 40 C. so i have build the relationship and obtain transfer function.

please guide me . pleasezzzzz
 

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