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13.26 A furnace is constructed in three sections, which include insulated circular (2) and cylindrical (3) sections, as well as an intermediate cylindrical section (1) with imbedded electrical resistance heaters. The overall length and diameter are 200 mm and 100 mm, respec- tively, and the cylindrical sections are of equal length. The surroundings are at 0 K. - Az (a) If all the surfaces are black, determine the elec- trical power, q,, required to maintain the heated section at 1000 K. (b) What are the temperatures of the insulated sec- tions, T, and T,? |(c) For D = 100 mm, generate a plot of q1, T2, and T, as functions of the length-to-diameter ratio, with 1 s L/D s 5.

13.26 A furnace is constructed in three sections, which include insulated circular (2) and cylindrical (3) sections, as well as an intermediate cylindrical section (1) with imbedded electrical resistance heaters. The overall length and diameter are 200 mm and 100 mm, respec- tively, and the cylindrical sections are of equal length. The surroundings are at 0 K. - Az (a) If all the surfaces are black, determine the elec- trical power, q,, required to maintain the heated section at 1000 K. (b) What are the temperatures of the insulated sec- tions, T, and T,? |(c) For D = 100 mm, generate a plot of q1, T2, and T, as functions of the length-to-diameter ratio, with 1 s L/D s 5.

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
Problem 1.1MA
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13.26 A furnace is constructed in three sections, which include insulated circular (2) and cylindrical (3) sections, as well as an intermediate cylindrical section (1) with imbedded electrical resistance heaters. The overall length and diameter are 200 mm and 100 mm, respec- tively, and the cylindrical sections are of equal length. The surroundings are at 0 K. - A2 (a) If all the surfaces are black, determine the elec- trical power, q1, required to maintain the heated section at 1000 K. (b) What are the temperatures of the insulated sec- tions, T, and T,? |(c) For D = 100 mm, generate a plot of q, T, and T; as functions of the length-to-diameter ratio, with 1s L/D< 5.
Transcribed Image Text:13.26 A furnace is constructed in three sections, which include insulated circular (2) and cylindrical (3) sections, as well as an intermediate cylindrical section (1) with imbedded electrical resistance heaters. The overall length and diameter are 200 mm and 100 mm, respec- tively, and the cylindrical sections are of equal length. The surroundings are at 0 K. - A2 (a) If all the surfaces are black, determine the elec- trical power, q1, required to maintain the heated section at 1000 K. (b) What are the temperatures of the insulated sec- tions, T, and T,? |(c) For D = 100 mm, generate a plot of q, T, and T; as functions of the length-to-diameter ratio, with 1s L/D< 5.
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