Abstract
In this paper, the element differential method is extended to solve a transient nonlinear heat conduction problem with a heat source and temperature-dependent thermophysical properties for the first time. The transient term is discretized by employing a finite difference scheme. An iterative methodology is developed to deal with the nonlinearity caused by temperature-dependent thermophysical properties. Examples of two-dimensional (2D) and three-dimensional (3D) problems are given to validate the present method for solving multi-dimensional transient nonlinear heat conduction problems. The results show that the present EDM provides a promising way that is effective and with high accuracy for solving multi-dimensional transient nonlinear heat conduction problems.
| Original language | English |
|---|---|
| Pages (from-to) | 1111-1119 |
| Number of pages | 9 |
| Journal | International Journal of Heat and Mass Transfer |
| Volume | 126 |
| DOIs | |
| State | Published - Nov 2018 |
| Externally published | Yes |
Keywords
- Element differential method
- Heat conduction
- Temperature-dependent thermophysical properties
- Transient state
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