XVIII.—Heat Flow in the Region bounded Internally by a Circular Cylinder
John Conrad Jaeger, Horatio Scott Carslaw · Proceedings of the Royal Society of Edinburgh Section A Mathematical and Physical Sciences · 1943
The object of this paper is to give some numerical results for the cooling of the region bounded internally by a circular cylinder, with constant initial temperature, and various boundary conditions at the surface. Problems of this nature are of importance in connection with the cooling of mines, and in various physical questions. The case of constant surface temperature is discussed in § 2. In § 3 the results are compared with the corresponding ones for the region outside a sphere, and for the semi-infinite solid.