@Article{CiCP-10-2,
author = {},
title = {Semiclassical Lattice Boltzmann Simulations of Rarefied Circular Pipe Flows},
journal = {Communications in Computational Physics},
year = {2011},
volume = {10},
number = {2},
pages = {405--421},
abstract = {<p style="text-align: justify;">Computations of microscopic circular pipe flow in a rarefied quantum gas
are presented using a semiclassical axisymmetric lattice Boltzmann method. The
method is first derived by directly projecting the Uehling-Uhlenbeck Boltzmann-BGK
equations in two-dimensional rectangular coordinates onto the tensor Hermite polynomials
using moment expansion method and then the forcing strategy of Halliday
et al. [Phys. Rev. E., 64 (2001), 011208] is adopted by adding forcing terms into the
resulting microdynamic evolution equation. The determination of the forcing terms
is dictated by yielding the emergent macroscopic equations toward a particular target
form. The correct macroscopic equations of the incompressible axisymmetric viscous
flows are recovered through the Chapman-Enskog expansion. The velocity profiles
and the mass flow rates of pipe flows with several Knudsen numbers covering different
flow regimes are presented. It is found the Knudsen minimum can be captured in
all three statistics studied. The results also indicate distinct characteristics of the effects
of quantum statistics.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.060210.270810a},
url = {https://global-sci.com/article/80927/semiclassical-lattice-boltzmann-simulations-of-rarefied-circular-pipe-flows}
}