1. A general numerical method for solving the three-dimensional hyperbolic heat conduction equation on unstructured grids.
- Author
-
He, Huizhi and Zhang, Xiaobing
- Subjects
- *
HEAT conduction , *HEAT equation , *HEAT transfer , *FICK'S laws of diffusion , *ANALYTICAL solutions , *STEREOLITHOGRAPHY - Abstract
The non-Fourier heat transfer model has gained significant attention in practical engineering applications, particularly under extreme conditions. However, solving the three-dimensional non-Fourier hyperbolic heat conduction equation remains a challenge. A method for solving the three-dimensional Maxwell-Cattaneo-Vernotte hyperbolic heat conduction equation on unstructured grids is proposed, where the total diffusion term is divided into normal diffusion term and cross diffusion term, and the temperature gradient is solved by reconstruction gradient. The convergence and accuracy of this method are verified by calculating the heat transfer process of a three-dimensional hollow cylinder, and the numerical solutions are found to be consistent with existing analytical solutions. Furthermore, the effects of relaxation time on the non-Fourier heat transfer process in three-dimensional hollow cylinder and complex ceramic part are discussed. Importantly, the method presented in this paper is not influenced by the coordinate system or the shape of the calculated region, providing a theoretical reference for solving complex three-dimensional non-Fourier heat transfer problems. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF