A temperature sensor is in the form of a long cylinder of diameter 1.5 mm. It is placed in a duct carrying air at a temperature of 200◦ C moving with a speed of 5 m/s such that the flow is normal to...

A temperature sensor is in the form of a long cylinder of diameter 1.5 mm. It is placed in a duct carrying air at a temperature of 200◦ C moving with a speed of 5 m/s such that the flow is normal to the axis of the cylinder. The duct walls are known to be at a temperature of 180◦ C. What is the error in the indicated temperature if the emissivity of the sensor surface is 0.80 and conduction along the sensor is ignored? Air properties given below may be made use of: