A temperature sensor enclosed in a thermo-well is used to

Question

Question:

A temperature sensor enclosed in a thermo-well is used to measure temperature of a fluid.

The system data is as given below:
•Mass of sensor = 0.02kg

•Sensor surface area = 10^-3 m²

•Sensor specific beat capacity = 500 Jkg^-1 ºC^-1

•Mass of thermo-well = 0.2 kg

•Thermo-well surface area - 10^-2 m²

•Thermo-well specific heat capacity = 800 jkg^-1 ºC^-1

•Heat transfer coefficient between sensor and Thermo-well = 25 Wm^-2 ºC^-1

•Heat transfer coefficient between Thermo-well and fluid = 625 Wm^-2 ºC^-1

Calculate the system transfer function.