Use of Boundary Sources in Problems of Heat Conduction
- 1 September 1967
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 38 (10) , 3808-3810
- https://doi.org/10.1063/1.1709020
Abstract
A method is presented for solving problems of one-dimensional heat flow in regions with plane, spherical, or cylindrical boundaries. It is based on the physical concept of a uniform continuous-source distribution on the boundary, whose strength varies with time in such a way as to meet the prescribed boundary condition. Examples of the method are given, including the solution for the temperature in a half-space with an initial steady gradient of temperature and the boundary condition (∂T/∂x) − w(∂T/∂t) − hT = − hθ.This publication has 1 reference indexed in Scilit:
- The flow of heat through the floor of the Atlantic OceanProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1954