Abstract

The basic problem of steady-state heat conduction in a ring with internal heat generation and convective boundary conditions is considered. An exact solution is found for the ring with a rectangular cross section and an efficient Ritz method is presented for general cross sections. The latter is applied to the torus or the ring with a circular cross section. Hot spots and cold spots are determined.

Issue Section:
Conduction
Keywords:
conduction, ring, heat generation, Ritz
Topics:
Heat, Heat conduction, Temperature, Boundary-value problems, Cross section (Physics)

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