A nuclear fuel element has the form of a plate 6 mm thick sandwiched between two stainless steel containing sheets. The fuel generates heat at a uniform rate of 0.18 x 106 kW/n3 and has a thermal conductivit of 0.002 kW/mK. The element is cooled by water at 50°C and the heat transfer coefficient on one side is 0.6 kW/m2K and on the other is 1.0 kW/m2K. The contact resistance between the fuel and the stainless steel is equivalent to a transfer coefficient of 20 kW/m2K. Assuming the resistance of the stainless steel to be negligible, determine the position and magnitude of the maximum temperature and the heat flux on each side of the element.

A nuclear fuel element has the form of a plate 6 mm thick sandwiched between two stainless steel containing sheets. The fuel generates heat at a uniform rate of 0.18 x 106 kW/n3 and has a thermal conductivit of 0.002 kW/mK. The element is cooled by water at 50°C and the heat transfer coefficient on one side is 0.6 kW/m2K and on the other is 1.0 kW/m2K. The contact resistance between the fuel and the stainless steel is equivalent to a transfer coefficient of 20 kW/m2K. Assuming the resistance of the stainless steel to be negligible, determine the position and magnitude of the maximum temperature and the heat flux on each side of the element.

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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Question

A nuclear fuel element has the form of a plate 6 mm thick sandwiched
between two stainless steel containing sheets. The fuel generates
heat at a uniform rate of 0.18 x 106 kW/n3 and has a thermal conductivity
of 0.002 kW/mK. The element is cooled by water at 50°C and the heat
transfer coefficient on one side is 0.6 kW/m2K and on the other is
1.0 kW/m2K. The contact resistance between the fuel and the stainless
steel is equivalent to a transfer coefficient of 20 kW/m²K. Assuming
the resistance of the stainless steel to be negligible, determine the
position and magnitude of the maximum temperature and the heat flux on
each side of the element.

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