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13.89 The lower side of a 400-mm-diameter disk is heated by an electric furnace, while the upper side is exposed to quiescent, ambient air and surroundings at 300 K. The radiant furnace (negligible convection) is of circular construction with the bottom surface (ɛ, = 0.6) and cylindrical side surface ( ɛ, = 1.0) maintained at T, = T, = 500 K. The surface of the disk facing the radiant furnace is black (e d1 = 1.0), while the upper surface has an emissivity of ɛ d2 = 0.8. Assume the plate and furnace surfaces to be diffuse and gray. sur Quiescent Air T - Ed.2 = 0.8 Disk Ed,1 = 1.0

13.89 The lower side of a 400-mm-diameter disk is heated by an electric furnace, while the upper side is exposed to quiescent, ambient air and surroundings at 300 K. The radiant furnace (negligible convection) is of circular construction with the bottom surface (ɛ, = 0.6) and cylindrical side surface ( ɛ, = 1.0) maintained at T, = T, = 500 K. The surface of the disk facing the radiant furnace is black (e d1 = 1.0), while the upper surface has an emissivity of ɛ d2 = 0.8. Assume the plate and furnace surfaces to be diffuse and gray. sur Quiescent Air T - Ed.2 = 0.8 Disk Ed,1 = 1.0

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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13.89 The lower side of a 400-mm-diameter disk is heated by an electric furnace, while the upper side is exposed to quiescent, ambient air and surroundings at 300 K. The radiant furnace (negligible convection) is of circular construction with the bottom surface ( &, = 0.6) and cylindrical side surface ( ɛ, = 1.0) maintained at T, = T, = 500 K. The surface of the disk facing the radiant furnace is black (e d1 = 1.0), while the upper surface has an emissivity of ɛ d, = 0.8. Assume the plate and furnace surfaces to be diffuse and gray. T sur Quiescent Air TA Ed.2 = 0.8 Disk - Ed.1 = 1.0 T2, E2 = 1 200 mm T1, E = 0.6 400 mm (a) Determine the net heat transfer rate to the disk, qnet, d, when Td = 400 K. (b) Plot qnet, d as a function of the disk temperature for 300 <T< 500 K, with all other conditions remaining the same. What is the steady-state temperature of the disk?
Transcribed Image Text:13.89 The lower side of a 400-mm-diameter disk is heated by an electric furnace, while the upper side is exposed to quiescent, ambient air and surroundings at 300 K. The radiant furnace (negligible convection) is of circular construction with the bottom surface ( &, = 0.6) and cylindrical side surface ( ɛ, = 1.0) maintained at T, = T, = 500 K. The surface of the disk facing the radiant furnace is black (e d1 = 1.0), while the upper surface has an emissivity of ɛ d, = 0.8. Assume the plate and furnace surfaces to be diffuse and gray. T sur Quiescent Air TA Ed.2 = 0.8 Disk - Ed.1 = 1.0 T2, E2 = 1 200 mm T1, E = 0.6 400 mm (a) Determine the net heat transfer rate to the disk, qnet, d, when Td = 400 K. (b) Plot qnet, d as a function of the disk temperature for 300 <T< 500 K, with all other conditions remaining the same. What is the steady-state temperature of the disk?
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