Simulation of Microchannel Flow Using Semiclassical Lattice Boltzmann Method
Date Issued
2009
Date
2009
Author(s)
Hu, Sheng-Hsin
Abstract
In the last decade, Lattice Boltzmann Method, an useful and powerful tool for general fluid flow simulation, has been developed. The two-dimensional micro-channel flow of gas of arbitrary statistics in the slip and transition regimes as characterized by the Knudsen number are studied using a newly developed semiclassical lattice Boltzmann method. The semiclassical lattice Boltzmann method is derived by directly projecting the Uehling-Uhlenbeck Boltzmann-BGK equations onto the tensor Hermite polynomials using moment expansion method. To take into account the slip motion at wall surface, the Maxwellian scattering kernel is adopted to model the gas surface interactions with an accommodation coefficient. The mass flow rates and the velocity profiles are calculated for the three particle statistics over the slip and transition regimes Knudsen numbers. The results indicate that the Knudsen minimum can be captured and distinct characteristics of the effect of quantum statistics can be delineated.
Subjects
Lattice Boltzmann Method
Semiclassical lattice Boltzmann method
Microchannel
Type
thesis
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