Non-Fourier heat conduction in an exponentially graded slab
- Авторлар: Raveshi M.1
-
Мекемелер:
- Khajeh Nasir Toosi University of Technology
- Шығарылым: Том 57, № 2 (2016)
- Беттер: 326-336
- Бөлім: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/159207
- DOI: https://doi.org/10.1134/S0021894416020164
- ID: 159207
Дәйексөз келтіру
Аннотация
The present article investigates one-dimensional non-Fourier heat conduction in a functionally graded material by using the differential transformation method. The studied geometry is a finite functionally graded slab, which is initially at a uniform temperature and suddenly experiences a temperature rise at one side, while the other side is kept insulated. A general non-Fourier heat transfer equation related to the functionally graded slab is derived. The problem is solved in the Laplace domain analytically, and the final results in the time domain are obtained by using numerical inversion of the Laplace transform. The obtained results are compared with the exact solution to verify the accuracy of the proposed method, which shows excellent agreement.
Авторлар туралы
M. Raveshi
Khajeh Nasir Toosi University of Technology
Хат алмасуға жауапты Автор.
Email: raveshi.mr@gmail.com
Иран, Tehran