The cross section of a long cylindrical fuel element in a nuclear reactor is shown. Energy generation occurs uniformly in the thorium fuel rod, which is of diameter D = 25 mm and is wrapped in a thin aluminum cladding.
(a) It is proposed that, under steady-state conditions, the system operates with a generation rate of = 7 × 108 W/m3 and cooling system characteristics of T∞ = 95°C and h = 7000 W/m2 ∙ K. Is this proposal satisfactory?
(b) Explore the effect of variations in and h by plotting temperature distributions T(r) for a range of parameter values. Suggest an envelope of acceptable operating conditions.
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