A finite difference solution for the transient nonlinear heat conduction equation in a finite slab with a radiation boundary condition is proposed. An implicit finite difference approximation is used which enables accurate estimation of the surface temperature as well as prevention of oscillation of
Heat conduction with radiating boundary conditions
β Scribed by R.B. Guenther; J.W. Lee
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 279 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
β¦ Synopsis
Existence of positive solutions is established for a class of nonlinear boundary value problems that include steadystate heat conduction problems with radiation at the boundary according to the fourth power radiation law. Existence is established using topological methods and a priori bounds.
π SIMILAR VOLUMES
Transient radiative and conductive heat transfer in a fibrous medium with anisotropic optical properties is investigated. Two different kinds of boundary conditions are treated: when the temperatures imposed on the boundaries vary with time and when the medium is subject to a radiation source which