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Evaporation boundary conditions for the R13 equations of rarefied gas dynamics
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Struchtrup, Henning, Beckmann, Alexander, Rana, Anirudh Singh and Frezzotti, Aldo (2017) Evaporation boundary conditions for the R13 equations of rarefied gas dynamics. Physics of Fluids, 29 (9). 092004. doi:10.1063/1.4989570 ISSN 1070-6631.
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Official URL: http://dx.doi.org/10.1063/1.4989570
Abstract
The regularized 13 moment (R13) equations are a macroscopic model for the description of rarefied gas flows in the transition regime. The equations have been shown to give meaningful results for Knudsen numbers up to about 0.5. Here, their range of applicability is extended by deriving and testing boundary conditions for evaporating and condensing interfaces. The macroscopic interface conditions are derived from the microscopic interface conditions of kinetic theory. Tests include evaporation into a half-space and evaporation/condensation of a vapor between two liquid surfaces of different temperatures. Comparison indicates that overall the R13 equations agree better with microscopic solutions than classical hydrodynamics.
| Item Type: | Journal Article | ||||||
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| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Gas dynamics, Equations, Evaporation | ||||||
| Journal or Publication Title: | Physics of Fluids | ||||||
| Publisher: | American Institute of Physics | ||||||
| ISSN: | 1070-6631 | ||||||
| Official Date: | 11 September 2017 | ||||||
| Dates: |
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| Volume: | 29 | ||||||
| Number: | 9 | ||||||
| Article Number: | 092004 | ||||||
| DOI: | 10.1063/1.4989570 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||
| Date of first compliant deposit: | 4 October 2017 | ||||||
| Date of first compliant Open Access: | 4 October 2017 | ||||||
| Funder: | Natural Sciences and Engineering Research Council of Canada (NSERC), Engineering and Physical Sciences Research Council (EPSRC), Gruppo nazionale di fisica matematica (Italy) | ||||||
| Grant number: | EP/N016602/1 (EPSRC) |
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