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Keywords: Boltzmann transport equation
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Journal Articles
Article Type: Review Articles
J. Heat Transfer. August 2022, 144(8): 080802.
Paper No: HT-21-1860
Published Online: May 24, 2022
... engineering applications. As a high-accuracy reference, we numerically solve a Bhatnagar, Gross, and Krook (BGK)-like a model equation for polyatomic vapors that have previously been shown to produce accurate solutions to the Boltzmann transport equation. We observe that the Schrage equation overpredicts heat...
Includes: Supplementary data
Journal Articles
Article Type: Micro/Nanoscale Heat Transfer
J. Heat Transfer. August 2012, 134(8): 082401.
Published Online: June 5, 2012
...Chunjian Ni; Jayathi Y. Murthy A sub-micron thermal transport model based on the phonon Boltzmann transport equation (BTE) is developed using anisotropic relaxation times. A previously-published model, the full-scattering model, developed by Wang, directly computes three-phonon scattering...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. March 2012, 134(3): 031016.
Published Online: January 18, 2012
... analysis immersed boundary uncertainty quantification phonons Boltzmann transport equation Over the last few decades, computational fluid dynamics (CFD) and computational heat transfer (CHT) have increasingly become an integral part of the industrial design and analysis cycle. Today, nearly...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. September 2011, 133(9): 092402.
Published Online: July 7, 2011
...Arpit Mittal; Sandip Mazumder A generalized form of the ballistic-diffusive equations (BDEs) for approximate solution of the Boltzmann Transport equation (BTE) for phonons is formulated. The formulation presented here is new and general in the sense that, unlike previously published formulations...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. April 2011, 133(4): 042402.
Published Online: January 11, 2011
...Dhruv Singh; Jayathi Y. Murthy; Timothy S. Fisher Phonon transport across constrictions formed by a nanowire or a nanoparticle on a substrate is studied by a numerical solution of the gray Boltzmann transport equation (BTE) resolving the effects of two length scales that govern problems...
Journal Articles
Article Type: Research Papers
J. Heat Transfer. May 2010, 132(5): 052402.
Published Online: March 8, 2010
...Arpit Mittal; Sandip Mazumder The Monte Carlo method has found prolific use in the solution of the Boltzmann transport equation for phonons for the prediction of nonequilibrium heat conduction in crystalline thin films. This paper contributes to the state-of-the-art by performing a systematic study...
Journal Articles
Article Type: Micro/Nanoscale Heat Transfer—Part Ii
J. Heat Transfer. April 2009, 131(4): 043208.
Published Online: February 20, 2009
... approximation of the Boltzmann transport equation. The results for electron-phonon equilibration times are compared with calculations with TTM based approximations and experimental data on Au thin films. Energy transport during electron-phonon nonequilibrium is described with the two temperature...
Journal Articles
Article Type: Technical Papers
J. Heat Transfer. October 2004, 126(5): 735–743.
Published Online: November 16, 2004
... thin films Heat Conduction Microscale Nanoscale Heat Transfer Boltzmann Transport Equation During the last decade, heat transfer at microscale has been the object of intense studies 1 2 . The research effort has been driven by important applications in microelectronics, thin films...