Coupled nonlinear constitutive models for rarefied and microscale gas flows: subtle interplay of kinematics and dissipation effects

Myong, R.S.

doi:10.1007/s00161-009-0112-6

Cited by 17 publications

(8 citation statements)

References 13 publications

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“…The primary role of the constitutive equations is to provide information for the shear stress and the heat flux, which are fundamental variable appearing in the conservation laws [6][7][8][9]. Therefore, the requirement for any closure theory to be consistent is no implication of vanishing the shear stress and the heat flux in the theory.…”

Section: Physically Motivated Closure For the Velocity Shear Flowmentioning

confidence: 99%

Revisit to Grad’s Closure and Development of Physically Motivated Closure for Phenomenological High-Order Moment Model

Myong¹,

Nagdewe²

2011

AIP Conference Proceedings

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The Grad's closure for the high-order moment equation is revisited and, by extending his theory, a physically motivated closure is developed for the one-dimensional velocity shear gas flow. The closure is based on the physical argument of the relative importance of various terms appearing in the moment equation. Also, the closure is derived such that the resulting theory may be inclusive of the well established linear theory (Navier-Stokes-Fourier) as limiting case near local thermal equilibrium.

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Section: Physically Motivated Closure For the Velocity Shear Flowmentioning

confidence: 99%

Revisit to Grad’s Closure and Development of Physically Motivated Closure for Phenomenological High-Order Moment Model

Myong¹,

Nagdewe²

2011

AIP Conference Proceedings

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“…The compressible Poiseuille gas flow within a channel driven by uniform body force [1] emerges as a benchmark for testing the higher-order constitutive relations in the velocity shear dominated flow problems [2][3][4]. The mathematical problem involved is very simple owing to its pure one-dimensional nature, but it can bring out the essence of the non-classical constitutive relations in states removed from thermal equilibrium.…”

Section: Introductionmentioning

confidence: 99%

“…In the present study, the various solutions by NCCR theory [2][3][4], DSMC calculation, and R-13 [5] are compared comprehensively with emphasis on their physical meaning and internal consistency. In addition, a simple method is proposed to examine the accuracy of the numerical solutions, in particular, near the solid wall.…”

Section: Introductionmentioning

confidence: 99%

A Comprehensive Comparison of Higher-Order Moment Equations and DSMC for Force-Driven Poiseuille Gas Flow

Myong¹,

Park²

2011

AIP Conference Proceedings

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The compressible Poiseuille gas flow within a channel driven by uniform body force emerges as a benchmark for testing the higher-order moment equations in the velocity shear dominated flow problems. The various solutions by NCCR theory, DSMC, and R-13 moment theory are compared comprehensively with emphasis on the physical behavior in phase space. Also, a simple method for the validation study of numerical solutions in high non-equilibrium flow problem is proposed. Using the new method, the accuracy of the numerical solutions in the force-driven Poiseuille gas flow, in particular, near the solid wall, is examined.

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“…1(b). This force-driven Poiseuille flow has received a lot of attention both from theoretical [2,3,15,18,21,32,38,39,44,49,51,55,56,58,59,64,67] and computational [1,12,22,23,27,38,61,62,68] points of view. This interest has been mainly motivated by the fact that the force-driven Poiseuille flow provides a nice example illustrating the limitations of the NS description in the bulk domain (i.e., far away from the boundary layers).…”

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confidence: 99%

Non-Newtonian Couette-Poiseuille flow of a dilute gas

Tij¹,

Santos²

2011

Kinetic &Amp; Related Models

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The steady state of a dilute gas enclosed between two infinite parallel plates in relative motion and under the action of a uniform body force parallel to the plates is considered. The Bhatnagar-Gross-Krook model kinetic equation is analytically solved for this Couette-Poiseuille flow to first order in the force and for arbitrary values of the Knudsen number associated with the shear rate. This allows us to investigate the influence of the external force on the non-Newtonian properties of the Couette flow. Moreover, the Couette-Poiseuille flow is analyzed when the shear-rate Knudsen number and the scaled force are of the same order and terms up to second order are retained. In this way, the transition from the bimodal temperature profile characteristic of the pure force-driven Poiseuille flow to the parabolic profile characteristic of the pure Couette flow through several intermediate stages in the Couette-Poiseuille flow are described. A critical comparison with the Navier-Stokes solution of the problem is carried out.Comment: 24 pages, 5 figures; v2: discussion on boundary conditions added; 10 additional references. Published in a special issue of the journal "Kinetic and Related Models" dedicated to the memory of Carlo Cercignan

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Coupled nonlinear constitutive models for rarefied and microscale gas flows: subtle interplay of kinematics and dissipation effects

Cited by 17 publications

References 13 publications

Revisit to Grad’s Closure and Development of Physically Motivated Closure for Phenomenological High-Order Moment Model

Revisit to Grad’s Closure and Development of Physically Motivated Closure for Phenomenological High-Order Moment Model

A Comprehensive Comparison of Higher-Order Moment Equations and DSMC for Force-Driven Poiseuille Gas Flow

Non-Newtonian Couette-Poiseuille flow of a dilute gas

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