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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
A nuclear fuel element of thickness 2L is covered with a steel cladding of thickness b. Energy generated within the nuclear fuel at a rate is removed by a fluid at T∞, which adjoins one surface and is characterized by a convection coefficient h. The other surface is well insulated, and the fuel and steel have thermal conductivities of kf and ks, respectively.

(a) Sketch the temperature distribution T(x) for the entire system and describe key features of the distribution.
(b) For kf = 60 , L = 15 mm, b = 3 mm, ks = 15W/m . K, h = 10,000 W/m2 .K, and T∞ = 200°C, what are the highest and lowest temperatures in the fuel element if energy is generated uniformly at a volumetric rate of q = 2 × 107 W/m3 q ? What are the corresponding locations?
(c) If the insulation is removed and equivalent convection conditions are maintained at each surface, what is the corresponding form of the temperature distribution in the fuel element? For the conditions of part (a), what are the highest and lowest temperatures in the fuel? What are the corresponding locations?
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