Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/93315
Title: | Resolving Knudsen layer by high-order moment expansion | Authors: | Fan, Y Li, J Li, R Qiao, Z |
Issue Date: | Sep-2019 | Source: | Continuum mechanics and thermodynamics, Sept. 2019, v. 31, no. 5, p. 1313-1337 | Abstract: | We model the Knudsen layer in Kramers’ problem by the linearized high-order hyperbolic moment system. Thanks to the hyperbolicity of the moment system, its boundary conditions are properly reduced from the kinetic boundary condition. For the Kramers’ problem, we present the analytical solutions of the linearized moment systems. The velocity profile in the Knudsen layer is captured with improved accuracy for a wide range of accommodation coefficients. With the order of the moment system increasing, the velocity profile approaches to that of the linearized Boltzmann–BGK equation. | Keywords: | Boltzmann equation Hyperbolic moment equations Knudsen layer Kramers’ problem |
Publisher: | Springer | Journal: | Continuum mechanics and thermodynamics | ISSN: | 0935-1175 | EISSN: | 1432-0959 | DOI: | 10.1007/s00161-019-00749-3 | Rights: | © Springer-Verlag GmbH Germany, part of Springer Nature 2019 This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use (https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms), but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00161-019-00749-3 |
Appears in Collections: | Journal/Magazine Article |
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File | Description | Size | Format | |
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Qiao_Resolving_Knudsen_Layer.pdf | Pre-Published version | 2.56 MB | Adobe PDF | View/Open |
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