Final answer:
A transfer function can be developed to relate the temperature of the tank to the temperature of the supply. It is a mathematical representation of the relationship between the input and output variables. Factors like tank size, insulation, and heating/cooling systems need to be considered.
Step-by-step explanation:
In this case, a transfer function can be developed to relate the temperature of the tank to the temperature of the supply. The transfer function is a mathematical representation of the relationship between the input and output variables. In terms of heat transfer, one of the common transfer functions is the heat transfer rate equation, which can be used to calculate the rate of heat transfer from a hot object to a cooler one.
The transfer function for temperature can be expressed as:
Tank Temperature = f(Supply Temperature)
where 'f' represents the transfer function.
To develop the transfer function, one must consider factors like the size of the tank, insulation, and heating/cooling systems in place.