Q9/ A thermocouple has the following characteristics when it is immersed in a stirred bath: Mass of thermocouple = 1 g Heat capacity of thermocouple = 0.25 cal/(g 'C) Heat transfer coefficient = 20 cal/(cm²h 'C) (for thermocouple and bath) Surface area of thermocouple = 3 cm? (a) Derive a transfer function model for the thermocouple relating the change in its indicated output T to the change in the temperature of its surroundings T, assuming uniform temperature (no gradients in the thermocouple bead), no conduction in the leads, constant physical properties, and conversion of the millivolt-level output directly to a C reading by a very fast sensor. (b) If the thermocouple is initially out of the bath and at room temperature (23 'C), what is the maximum temperature that it will register if it is suddenly plunged into the bath (80 °C) and held there for 20 s?

Q9/ A thermocouple has the following characteristics when it is immersed in a stirred bath: Mass of thermocouple = 1 g Heat capacity of thermocouple = 0.25 cal/(g 'C) Heat transfer coefficient = 20 cal/(cm²h 'C) (for thermocouple and bath) Surface area of thermocouple = 3 cm? (a) Derive a transfer function model for the thermocouple relating the change in its indicated output T to the change in the temperature of its surroundings T, assuming uniform temperature (no gradients in the thermocouple bead), no conduction in the leads, constant physical properties, and conversion of the millivolt-level output directly to a C reading by a very fast sensor. (b) If the thermocouple is initially out of the bath and at room temperature (23 'C), what is the maximum temperature that it will register if it is suddenly plunged into the bath (80 °C) and held there for 20 s?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.12P

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