Microscopic molecular dynamics characterization of the secondorder nonNavierFourier constitutive laws in the Poiseuille gas flow
Abstract
The secondorder nonNavierFourier constitutive laws, expressed in a compact algebraic mathematical form, were validated for the forcedriven Poiseuille gas flow by the deterministic atomiclevel microscopic molecular dynamics (MD). Emphasis is placed on how completely different methods (a secondorder continuum macroscopic theory based on the kinetic Boltzmann equation, the probabilistic mesoscopic direct simulation Monte Carlo, and, in particular, the deterministic microscopic MD) describe the nonclassical physics, and whether the secondorder nonNavierFourier constitutive laws derived from the continuum theory can be validated using MD solutions for the viscous stress and heat flux calculated directly from the molecular data using the statistical method. Peculiar behaviors (nonuniform tangent pressure profile and exotic instantaneous heat conduction from cold to hot [R. S. Myong, “A full analytical solution for the forcedriven compressible Poiseuille gas flow based on a nonlinear coupled constitutive relation,” Phys. Fluids 23(1), 012002 (2011)]) were reexamined using atomiclevel MD results. It was shown that all three results were in strong qualitative agreement with each other, implying that the secondorder nonNavierFourier laws are indeed physically legitimate in the transition regime. Furthermore, it was shown that the nonNavierFourier constitutive laws are essential for describing nonzero normal stress and tangential heat flux, while the classical andmore »
 Authors:
 School of Mechanical and Aerospace Engineering, Gyeongsang National University, Jinju, Gyeongnam 52828 (Korea, Republic of)
 (Korea, Republic of)
 Publication Date:
 OSTI Identifier:
 22598912
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Fluids; Journal Volume: 28; Journal Issue: 8; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 42 ENGINEERING; ANALYTICAL SOLUTION; BOLTZMANN EQUATION; COMPUTERIZED SIMULATION; FLOW MODELS; FLUIDS; GAS FLOW; HEAT; HEAT FLUX; MOLECULAR DYNAMICS METHOD; MONTE CARLO METHOD; NAVIERSTOKES EQUATIONS; NONLINEAR PROBLEMS; PROBABILISTIC ESTIMATION; SHEAR; STRESSES; THERMAL CONDUCTION
Citation Formats
Rana, A., Ravichandran, R., Park, J. H., Myong, R. S., Email: myong@gnu.ac.kr, and Research Center for Aircraft Parts Technology, Gyeongsang National University, Jinju, Gyeongnam 52828. Microscopic molecular dynamics characterization of the secondorder nonNavierFourier constitutive laws in the Poiseuille gas flow. United States: N. p., 2016.
Web. doi:10.1063/1.4959202.
Rana, A., Ravichandran, R., Park, J. H., Myong, R. S., Email: myong@gnu.ac.kr, & Research Center for Aircraft Parts Technology, Gyeongsang National University, Jinju, Gyeongnam 52828. Microscopic molecular dynamics characterization of the secondorder nonNavierFourier constitutive laws in the Poiseuille gas flow. United States. doi:10.1063/1.4959202.
Rana, A., Ravichandran, R., Park, J. H., Myong, R. S., Email: myong@gnu.ac.kr, and Research Center for Aircraft Parts Technology, Gyeongsang National University, Jinju, Gyeongnam 52828. 2016.
"Microscopic molecular dynamics characterization of the secondorder nonNavierFourier constitutive laws in the Poiseuille gas flow". United States.
doi:10.1063/1.4959202.
@article{osti_22598912,
title = {Microscopic molecular dynamics characterization of the secondorder nonNavierFourier constitutive laws in the Poiseuille gas flow},
author = {Rana, A. and Ravichandran, R. and Park, J. H. and Myong, R. S., Email: myong@gnu.ac.kr and Research Center for Aircraft Parts Technology, Gyeongsang National University, Jinju, Gyeongnam 52828},
abstractNote = {The secondorder nonNavierFourier constitutive laws, expressed in a compact algebraic mathematical form, were validated for the forcedriven Poiseuille gas flow by the deterministic atomiclevel microscopic molecular dynamics (MD). Emphasis is placed on how completely different methods (a secondorder continuum macroscopic theory based on the kinetic Boltzmann equation, the probabilistic mesoscopic direct simulation Monte Carlo, and, in particular, the deterministic microscopic MD) describe the nonclassical physics, and whether the secondorder nonNavierFourier constitutive laws derived from the continuum theory can be validated using MD solutions for the viscous stress and heat flux calculated directly from the molecular data using the statistical method. Peculiar behaviors (nonuniform tangent pressure profile and exotic instantaneous heat conduction from cold to hot [R. S. Myong, “A full analytical solution for the forcedriven compressible Poiseuille gas flow based on a nonlinear coupled constitutive relation,” Phys. Fluids 23(1), 012002 (2011)]) were reexamined using atomiclevel MD results. It was shown that all three results were in strong qualitative agreement with each other, implying that the secondorder nonNavierFourier laws are indeed physically legitimate in the transition regime. Furthermore, it was shown that the nonNavierFourier constitutive laws are essential for describing nonzero normal stress and tangential heat flux, while the classical and nonclassical laws remain similar for shear stress and normal heat flux.},
doi = {10.1063/1.4959202},
journal = {Physics of Fluids},
number = 8,
volume = 28,
place = {United States},
year = 2016,
month = 8
}

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