Consider a shielding wall for a nuclear reactor. The wall receives a gamma-ray flux such that heat

Question:

Consider a shielding wall for a nuclear reactor. The wall receives a gamma-ray flux such that heat is generated within the wall according to the relation

where 0 is the heat generation at the inner face of the wall exposed to the gamma-ray flux and a is a constant. Using this relation for heat generation, derive an expression for the temperature distribution in a wall of thickness L, where the inside and outside temperatures are maintained at Ti and T0, respectively. Also obtain an expression for the maximum temperature in the wall.

Distribution
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