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Numerical Investigation for Determining Temperature Peaks in a Finite Slab With Volumetric Heat Generation Based on the Hyperbolic Model of Heat Conduction

[+] Author Affiliations
Mohammad Goharkhah, Shahin Amiri, Behzad Baghapour

University of Tehran, Tehran, Iran

Paper No. ICNMM2009-82018, pp. 491-495; 5 pages
  • ASME 2009 7th International Conference on Nanochannels, Microchannels, and Minichannels
  • ASME 2009 7th International Conference on Nanochannels, Microchannels and Minichannels
  • Pohang, South Korea, June 22–24, 2009
  • Conference Sponsors: Nanotechnology Institute
  • ISBN: 978-0-7918-4349-9 | eISBN: 978-0-7918-3850-1
  • Copyright © 2009 by ASME


In this paper, the non-Fourier heat conduction problem in a finite slab with volumetric heat generation is investigated numerically. A linear dependence on space for heat generation has been considered. MacCormack’s explicit predictor-corrector scheme is used for solving the wave propagation problem. Results show that the space-dependent heat generation strongly affects the temperature distribution. A temperature peak in the slab has been observed due to superposition of thermal waves. It has been shown that the magnitude of the temperature peak increases with increasing the slope of dimensionless heat generation function. In order to validate the approach, the results have been compared with the analytical solution which shows an excellent agreement.

Copyright © 2009 by ASME



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