$$

Consider a thermocouple junction immersed in a fluid whose temperature ${}_o$ varies with time, the temperature of the thermocouple ${}_1$ will vary with time. Assume that all resistance to heat transfer resides in the surrounding the thermocouple wall, that all the thermal capacity lies in the junction, and that for $t<mn\; id="EditorElement\_90401">0</mn>$ there is no change of temperature with time "the system is initially steady state".

Determine:

The variables and parameters.

The mathematical model that describes the system in deviation variables.

The transfer function of the system.