Prove that the thermocouple will underestimate the temperature of airflow by more than 15% but less than 30% in a large air duct if the temperature of the hot air is 1367 K, duct-wall temperature is 533 K, emissivity of the thermocouple is 0.5, and the convection heat-transfer coefficient is 114 W/m2 -K.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
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Chapter7: Forced Convection Inside Tubes And Ducts
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Problem 7.4P
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Prove that the thermocouple will underestimate the temperature of airflow by more than 15% but less than 30% in a large air duct if the temperature of the hot air is 1367 K, duct-wall temperature is 533 K, emissivity of the thermocouple is 0.5, and the convection heat-transfer coefficient is 114 W/m2 -K.
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