Year: 2011
Communications in Computational Physics, Vol. 10 (2011), Iss. 2 : pp. 405–421
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.060210.270810a
Communications in Computational Physics, Vol. 10 (2011), Iss. 2 : pp. 405–421
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
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Kinetic numerical methods for solving the semiclassical Boltzmann-BGK equation
Yang, Jaw-Yen
Muljadi, Bagus Putra
Chen, Su-Yuan
Li, Zhi-Hui
Computers & Fluids, Vol. 85 (2013), Iss. P.153
https://doi.org/10.1016/j.compfluid.2012.12.013 [Citations: 3]