Scaling relation and regime map of explosive gas–liquid flow of binary Lennard-Jones particle system

Handle URI:
http://hdl.handle.net/10754/599560
Title:
Scaling relation and regime map of explosive gas–liquid flow of binary Lennard-Jones particle system
Authors:
Inaoka, Hajime; Yukawa, Satoshi; Ito, Nobuyasu
Abstract:
We study explosive gasliquid flows caused by rapid depressurization using a molecular dynamics model of Lennard-Jones particle systems. A unique feature of our model is that it consists of two types of particles: liquid particles, which tend to form liquid droplets, and gas particles, which remain supercritical gaseous states under the depressurization realized by simulations. The system has a pipe-like structure similar to the model of a shock tube. We observed physical quantities and flow regimes in systems with various combinations of initial particle number densities and initial temperatures. It is observed that a physical quantity Q, such as pressure, at position z measured along a pipe-like system at time t follows a scaling relation Q(z,t)=Q(zt) with a scaling function Q(ζ). A similar scaling relation holds for time evolution of flow regimes in a system. These scaling relations lead to a regime map of explosive flows in parameter spaces of local physical quantities. The validity of the scaling relations of physical quantities means that physics of equilibrium systems, such as an equation of state, is applicable to explosive flows in our simulations, though the explosive flows involve highly nonequilibrium processes. In other words, if the breaking of the scaling relations is observed, it means that the explosive flows cannot be fully described by physics of equilibrium systems. We show the possibility of breaking of the scaling relations and discuss its implications in the last section. © 2011 Elsevier B.V. All rights reserved.
Citation:
Inaoka H, Yukawa S, Ito N (2012) Scaling relation and regime map of explosive gas–liquid flow of binary Lennard-Jones particle system. Physica A: Statistical Mechanics and its Applications 391: 423–438. Available: http://dx.doi.org/10.1016/j.physa.2011.08.018.
Publisher:
Elsevier BV
Journal:
Physica A: Statistical Mechanics and its Applications
KAUST Grant Number:
KUK-I1-005-04
Issue Date:
Feb-2012
DOI:
10.1016/j.physa.2011.08.018
Type:
Article
ISSN:
0378-4371
Sponsors:
This work has been partly supported by Award No. KUK-I1-005-04 granted by King Abdullah University of Science and Technology (KAUST) and Grant-in-Aid for Young Scientists (B) No. 19740238 from the Ministry of Education, Culture, Sports, Science, and Technology. A part of the numerical simulations in this paper was carried out by the use of the Plasma Simulator at the National Institute for Fusion Science under the support of the NIFS Collaboration Research programs (NIFS10KTBS006).
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Full metadata record

DC FieldValue Language
dc.contributor.authorInaoka, Hajimeen
dc.contributor.authorYukawa, Satoshien
dc.contributor.authorIto, Nobuyasuen
dc.date.accessioned2016-02-28T05:53:22Zen
dc.date.available2016-02-28T05:53:22Zen
dc.date.issued2012-02en
dc.identifier.citationInaoka H, Yukawa S, Ito N (2012) Scaling relation and regime map of explosive gas–liquid flow of binary Lennard-Jones particle system. Physica A: Statistical Mechanics and its Applications 391: 423–438. Available: http://dx.doi.org/10.1016/j.physa.2011.08.018.en
dc.identifier.issn0378-4371en
dc.identifier.doi10.1016/j.physa.2011.08.018en
dc.identifier.urihttp://hdl.handle.net/10754/599560en
dc.description.abstractWe study explosive gasliquid flows caused by rapid depressurization using a molecular dynamics model of Lennard-Jones particle systems. A unique feature of our model is that it consists of two types of particles: liquid particles, which tend to form liquid droplets, and gas particles, which remain supercritical gaseous states under the depressurization realized by simulations. The system has a pipe-like structure similar to the model of a shock tube. We observed physical quantities and flow regimes in systems with various combinations of initial particle number densities and initial temperatures. It is observed that a physical quantity Q, such as pressure, at position z measured along a pipe-like system at time t follows a scaling relation Q(z,t)=Q(zt) with a scaling function Q(ζ). A similar scaling relation holds for time evolution of flow regimes in a system. These scaling relations lead to a regime map of explosive flows in parameter spaces of local physical quantities. The validity of the scaling relations of physical quantities means that physics of equilibrium systems, such as an equation of state, is applicable to explosive flows in our simulations, though the explosive flows involve highly nonequilibrium processes. In other words, if the breaking of the scaling relations is observed, it means that the explosive flows cannot be fully described by physics of equilibrium systems. We show the possibility of breaking of the scaling relations and discuss its implications in the last section. © 2011 Elsevier B.V. All rights reserved.en
dc.description.sponsorshipThis work has been partly supported by Award No. KUK-I1-005-04 granted by King Abdullah University of Science and Technology (KAUST) and Grant-in-Aid for Young Scientists (B) No. 19740238 from the Ministry of Education, Culture, Sports, Science, and Technology. A part of the numerical simulations in this paper was carried out by the use of the Plasma Simulator at the National Institute for Fusion Science under the support of the NIFS Collaboration Research programs (NIFS10KTBS006).en
dc.publisherElsevier BVen
dc.subjectGasliquid flowen
dc.subjectLennard-Jones particle systemen
dc.subjectMolecular dynamics simulationen
dc.subjectRegime mapen
dc.titleScaling relation and regime map of explosive gas–liquid flow of binary Lennard-Jones particle systemen
dc.typeArticleen
dc.identifier.journalPhysica A: Statistical Mechanics and its Applicationsen
dc.contributor.institutionUniversity of Tokyo, Tokyo, Japanen
dc.contributor.institutionOsaka University, Suita, Japanen
kaust.grant.numberKUK-I1-005-04en
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