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Title: Vacuum formation behind the expansion wave in a piston motion problem
Authors: Taguchi, Satoshi  kyouindb  KAKEN_id  orcid https://orcid.org/0000-0002-0661-7058 (unconfirmed)
Takata, Shigeru  kyouindb  KAKEN_id  orcid https://orcid.org/0000-0001-6787-6777 (unconfirmed)
Issue Date: 6-Jul-2012
Publisher: American Physical Society
Journal title: Physical Review E
Volume: 86
Issue: 1
Thesis number: 016305
Abstract: Long time behavior of one-dimensional gas motion caused by pulling a piston with a high speed is numerically studied on the basis of the kinetic theory of gases. It is clarified that (i) if the piston speed is lower than a critical speed, the state of the gas time-asymptotically approaches the local equilibrium that corresponds to the isentropic solution in the conventional gas dynamics, namely, an expansion wave followed by a uniform state, and (ii) otherwise, there appears a highly nonequilibrium region with a very low pressure behind the expansion tail. In the latter case, the components of temperature parallel and perpendicular to the flow direction become highly different, and the density tends to vanish as time goes on, forming a vacuum region behind the tail at the infinite time.
Rights: ©2012 American Physical Society
URI: http://hdl.handle.net/2433/188011
DOI(Published Version): 10.1103/PhysRevE.86.016305
PubMed ID: 23005523
Appears in Collections:Journal Articles

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