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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

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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
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
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:
DateEvent
11 September 2017Available
16 August 2017Accepted
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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