XVIII.—Heat Flow in the Region bounded Internally by a Circular Cylinder
- 1 January 1943
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh. Section A. Mathematical and Physical Sciences
- Vol. 61 (3) , 223-228
- https://doi.org/10.1017/s0080454100006233
Abstract
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.Keywords
This publication has 4 references indexed in Scilit:
- Some Two-Dimensional Problems in Conduction of Heat with Circular SymmetryProceedings of the London Mathematical Society, 1940
- Heat Flow in an Infinite Solid Bounded Internally by a CylinderJournal of Applied Physics, 1937
- Some Two-Dimensional Diffusion Problems with Circular SymmetryProceedings of the London Mathematical Society, 1932
- A problem in the theory of heat conductionProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1921