A long, hemicylindrical (1-m radius) shaped furnaceused to

Chapter 13, Problem 13.71

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A long, hemicylindrical (1-m radius) shaped furnaceused to heat treat sheet metal products is comprised ofthree zones. The heating zone (1) is constructed froma ceramic plate of emissivity 0.85 and is operated at1600 K by gas burners. The load zone (2) consists ofsheet metal products, assumed to be black surfaces,that are to be maintained at 500 K. The refractory zone(3) is fabricated from insulating bricks having anemissivity of 0.6. Assume steady-state conditions, dif-fuse, gray surfaces, and negligible convection.(a) What is the heat rate per unit length of the furnace(normal to the page) that must be supplied by thegas burners for the prescribed conditions? b) What is the temperature of the insulating bricksurface for the prescribed conditions?

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