The arrangement shown is to be used to calibrate aheat

Chapter 13, Problem 13.35

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The arrangement shown is to be used to calibrate aheat flux gage. The gage has a black surface that is10 mm in diameter and is maintained at 17?C bymeans of a water-cooled backing plate. The heater,200 mm in diameter, has a black surface that is main-tained at 800 K and is located 0.5 m from the gage.The surroundings and the air are at 27?C and the con-vection heat transfer coefficient between the gage andthe air is 15 W/m2?K.(a) Determine the net radiation exchange between theheater and the gage.(b) Determine the net transfer of radiation to the gageper unit area of the gage.(c) What is the net heat transfer rate to the gage perunit area of the gage?(d) If the gage is constructed according to thedescription of 3.107, what heat flux willit indicate?

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