Thermal radiation is considered from the inside surface of a heated cylindrical enclosure. A specified heat input is imposed at the enclosure wall and the surface temperature distribution is determined. The analysis considers both black and diffuse gray-body radiation and obtains a simple relation between the two. The energy equation, which is a linear integral equation, is solved by three methods: (a) Use of a separable kernel; (b) numerical integration; and (c) variational methods.

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