Affiliation:
1. Mechanical Engineering Department , King Fahd University of Petroleum and Minerals , Dhahran , Kingdom of Saudi Arabia
Abstract
Abstract
The entropy generation rate in a low dimensional film is formulated incorporating the heat flux and effective thermal conductivity of the film material. In the analysis, the mathematical formulation employed is kept the same as that used in the diffusive regime. However, the entropy generation rate is corrected by replacing the bulk thermal conductivity with an effective thermal conductivity evaluated from the Boltzmann equation. The entropy generation rate using the phonon distribution from the equation of phonon radiative transport in the film material is employed. The results show that both formulations result in a very close match for the entropy generation rates.
Subject
General Physics and Astronomy,General Chemistry
Reference15 articles.
1. B. S. Yilbas, Improved formulation of electron kinetic theory approach for laser short-pulse heating, Int. J. Heat Mass Transf.49 (2006), no. 13-14, 2227–2238.
2. B. S. Yilbas, S. B. Mansoor and H. Ali, Heat Transport in Micro- and Nanoscale Thin Films, Elsevier, New York, 2018. Hardcover ISBN: 9780323429795.
3. B. S. Yilbas, A. Dweik and S. B. Mansour, Analytical solution for phonon transport equation across thin films, J. Non-Equilib. Thermodyn.38 (2013), no. 4, 377–390.
4. Y. -R. Dong and Y. Dong, Ballistic-diffusive phonon transport in cellulose nanocrystals by ReaxFF molecular dynamics simulations, Int. J. Heat Mass Transf.148 (2020), 119155.
5. A. Majumdar, Microscale heat conduction in dielectric thin films, J. Heat Transf.115 (1993), 7–16.