Ballistic-Diffusive Equations for Transient Heat Conduction From Nano to Macroscales

[+] Author and Article Information
Gang Chen

Mechanical Engineering Department, Massachusetts Institute of Technology, Cambridge, MA 02139-4307

J. Heat Transfer 124(2), 320-328 (Aug 06, 2001) (9 pages) doi:10.1115/1.1447938 History: Received August 31, 2000; Revised August 06, 2001
Copyright © 2002 by ASME
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Grahic Jump Location
Nondimensional temperature and heat flux distributions calculated from the Boltzmann equation and the ballistic-diffusive equations for different carrier Knudsen number (Kn) and differential nondimensional time (t*)
Grahic Jump Location
Contribution of the ballistic and the diffusive components to the nondimensional total internal energy (temperature) and heat flux. The weak wave front in the diffusive component is artificially caused by the diffusion approximation.
Grahic Jump Location
Comparison of temperature and heat flux distributions obtained from the Boltzmann equation, the ballistic-diffusive equations, the Cattaneo equation, and the Fourier law for different time and Knudsen number
Grahic Jump Location
Comparison of surface heat flux obtained from the Boltzmann equation, the ballistic-diffusive equations, the Cattaneo equation, and the Fourier law as a function of time for different Knudsen numbers
Grahic Jump Location
Schematic drawing for discussing the consistency of temperature used in the equations and the boundary conditions
Grahic Jump Location
Normalized temperature and heat flux distributions rescaled to the difference of the instantaneous medium temperatures at the two boundaries




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