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Problem 1. The cross section of a long cylindrical fuel element in a nuclear reactor is shown below. Energy generation occurs uniformly in the thorium fuel rod, which is of diameter D = 25 mm, and is wrapped in a very thin aluminum cladding. It is proposed that under steady-state conditions, the system operates with a generation rate of $q'''_{gen} = 7 \times 10^8 W/m^3$ and cooling system characteristics of $T_\infty = 95 \text{ }^\circ C$ and $h = 7000 W/(m^2-K)$. Is this proposal satisfactory for using aluminum and thorium? Note that melting temperature of thorium is 2023 K and that of aluminum is 933 K. The thermal conductivity of thorium is 60 W/(m-K).

          Problem 1.
The cross section of a long cylindrical fuel element in a nuclear reactor is shown below. Energy generation occurs uniformly in the thorium fuel rod, which is of diameter D = 25 mm, and is wrapped in a very thin aluminum cladding. It is proposed that under steady-state conditions, the system operates with a generation rate of
$q'''_{gen} = 7 \times 10^8 W/m^3$ and cooling system characteristics of $T_\infty = 95 \text{ }^\circ C$ and $h = 7000 W/(m^2-K)$.
Is this proposal satisfactory for using aluminum and thorium? Note that melting temperature of thorium is 2023 K and that of aluminum is 933 K. The thermal conductivity of thorium is 60 W/(m-K).

problem 1 the cross section of a long cylindrical fuel element in a nuclear reactor is shown below energy generation occurs uniformly in the thorium fuel rod which is of diameter d 25 mm and 33816

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