... Between Parallel Plates ,” Phys. Fluids , 17 , pp. 1053 – 1055 . 10.1063/1.1694820 [7] Ohwada , T. , Sone , Y. , and Aoki , K. , 1989 , “ Numerical Analysis of the Poiseuille and Thermal Transpiration Flows Between Two Parallel Plates on the Basis of the Boltzmann Equation for a Hard...

... achieved. Furthermore, the domain of the validity of this continuum approach is discussed. Simulations are then extended to the transitional flow regime. Streamwise velocity distributions are also compared with the results of the numerical solutions of the linearized Boltzmann equation. We emphasize...

... in computational savings compared to time-explicit integration to steady states when the time to steady state is longer than O ( 40 ) mean collision times. 01 06 2006 04 12 2006 Boltzmann equation kinetic theory Newton method flow simulation microfluidics Knudsen flow Navier-Stokes...

... is obtained. In this paper, the theoretical foundations of the model and the validity of the thermal lattice Boltzmann equation method are laid out, illustrated by analytical and numerical examples. In a companion paper ( P. Yuan and L. Schaefer, 2006, ASME J. Fluids Eng., 128, pp. 151–156 ), the numerical...

...Peng Yuan; Laura Schaefer In the previous paper (Part 1) ( P. Yuan and L. Schaefer, 2006, ASME J. Fluids Eng., 128, pp. 142–150 ), the multiphase isothermal lattice Boltzmann equation (LBE) model and single phase thermal LBE (TLBE) model were described. In this work, by combining these two models...

.... , and Zanetti , G. , 1988 , “ Use of the Boltzmann Equation to Simulate Lattice-Gas Automata ,” Phys. Rev. Lett. , 61 , pp. 2332 – 2335 . Bhatnagar , P. L. , Gross , E. P. , and Krook , M. , 1954 , “ A Model for Collision Processes in Gases. I: Small Amplitude Processes in Charged...