... 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...

...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...

... boundary uncertainty quantification phonons Boltzmann transport equation Boltzmann equation computational fluid dynamics finite volume methods flow simulation heat transfer reviews turbulence 01 09 2010 27 07 2011 18 01 2012 18 01 2012 Comparison of single...

...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...

...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...

...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...

... 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. Beginning with the familiar expression for the Fermi energy given (Chap. 6, Eq. (17) in Ref. 37 ) A1...

... 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...