... that the exact normal solution of Boltzmann equation gives uniform pressure with no stresses in the flow domain. In the case of hard-sphere molecules, direct simulation Monte Carlo (DSMC) results predict nonuniform pressure field giving rise to stresses in the flow domain. The simplistic nature of the problem...

... 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...

... significantly more thermal resistance than that due to boundary scattering of phonons. 14 05 2010 03 06 2011 05 10 2011 05 10 2011 Boltzmann equation elemental semiconductors finite volume methods germanium heat conduction phonon dispersion relations semiconductor superlattices...

... – 328 . 10.1115/1.1447938 26 Yang , R. , Chen , G. , Laroche , M. , and Taur , Y. , 2005 , “ Simulation of Nanoscale Multidimensional Transient Heat Conduction Problems Using Ballistic-Diffusive Equations and Phonon Boltzmann Equation ,” J. Heat Transfer , 127 , pp. 298 – 306...

... to reasonable accuracy even with this approximation ( 40 41 ). For detailed modeling results of thermal transport employing a simultaneous solution of the gas phase and phonon Boltzmann equation, the reader is referred to Ref. 42 . Typical accommodation coefficients for air on oxide-terminated surfaces...

...Toshiyuki Doi Periodic time-dependent behavior of a rarefied gas between two parallel planes caused by an oscillatory heating of one plane is numerically studied based on the linearized Boltzmann equation. Detailed numerical data of the energy transfer from the heated plane to the unheated plane...

... is applicable. 21 01 2009 12 04 2010 13 08 2010 13 08 2010 Boltzmann equation flow simulation heat transfer Particle-mediated energy transport in the transition regime between the ballistic and diffusive limits has recently received significant attention in connection...

... , R. G. , 1964 , “ Diffusion Approximation for Thermal Radiation in Gases With Jump Boundary Condition ,” ASME J. Heat Transfer 0022-1481 , 86 , pp. 240 – 246 . 05 06 2009 05 04 2010 27 07 2010 27 07 2010 Boltzmann equation entropy heat transfer phonons...

... by the Dispersion Lattice Boltzmann Method ,” ASME J. Heat Transfer 0022-1481 , 130 ( 9 ), p. 092402 . 10.1115/1.2944249 Succi , S. , 2001 , The Lattice Boltzmann Equation for Fluid Mechanics and Beyond , Clarendon , Oxford, UK . Qian , Y. H. , d’Humieres , D. , and Lallemand , P...

... duration and fluence on the carrier-phonon nonequilibrium characteristics. Si Boltzmann transport model carrier-phonon nonequilibrium nanoscale energy transport ultrashort-pulsed laser RKDG Auger effect Boltzmann equation carrier mean free path electron-hole recombination elemental...

... thin films. Monte Carlo Boltzmann transport equation thin film thermal conductivity optical phonon silicon Boltzmann equation elemental semiconductors heat conduction Monte Carlo methods phonons semiconductor thin films silicon thermal conductivity 24 03 2009 23...

... for a mode m under a temperature gradient. Boltzmann equation elemental semiconductors lattice constants molecular dynamics method phonon dispersion relations potential energy functions silicon thermal analysis thermal conductivity thermal expansion total energy 07 05 2008...

...-phonon equilibrium. However, for the film thickness of 2000 nm, even with the highest laser fluence examined, the electrons and phonons reach equilibrium and the gold film does not melt. 28 08 2008 25 02 2009 05 06 2009 Boltzmann equation carrier mean free path carrier relaxation...

.... , 2005 , “ Simulation of Nanoscale Multidimensional Transient Heat Conduction Problems Using Ballistic-Diffusive Equations and Phonon Boltzmann Equation ,” ASME J. Heat Transfer 0022-1481 10.1115/1.1857941 , 127 , pp. 298 – 306 . Majumdar , A. , 1993 , “ Microscale Heat Conduction...

... the regularized 13-moment equations (R13 equations), which are of high approximation order. In addition, a complete set of boundary conditions can be derived from the boundary conditions of the Boltzmann equation. The R13 equations are linearly stable, and their results for moderate Knudsen numbers stand...

... 10.1146/annurev.fluid.30.1.329 , 30 , pp. 329 – 364 . McNamara , G. , and Zanetti , G. , 1988 , “ Use of the Boltzmann Equation to Simulate Lattice-Gas Automata , Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.61.2332 , 61 , pp. 2332 – 2335 . Higuera , F. , and Jimenez...

... and Nanowire ,” in preparation. Holman , J. P. , 1984 , Experimental Methods for Engineers , McGraw-Hill , New York, pp. 50 – 57 . 06 03 2004 24 06 2005 silicon elemental semiconductors thermal conductivity heat conduction phonons Boltzmann equation phonon...

... time of heat carriers. The transient ballistic-diffusive heat conduction equations (BDE) were developed as an approximation to the phonon Boltzmann equation (BTE) for nanoscale heat conduction problems. In this paper, we further develop BDE for multidimensional heat conduction, including nanoscale heat...

... of accounting for phonon dispersion and polarization effects is clearly demonstrated. 11 08 2003 01 03 2005 heat conduction silicon-on-insulator transistors Boltzmann equation phonon dispersion relations finite volume methods thermal conductivity Computations BTE Finite Volume...

...: G. Chen. 04 August 2003 28 September 2004 26 01 2005 silicon elemental semiconductors microfluidics heat transfer phonon dispersion relations Boltzmann equation thermal conductivity perturbation theory finite volume methods parabolic equations diffusion Fourier...