Rarefied gas flow simulation based on quasigasdynamic equations

Елизарова, Т. Г.; Graur, Irina; Lengrand, J. C.; Chpoun, A.

doi:10.2514/3.12986

Cited by 21 publications

(24 citation statements)

References 2 publications

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“…On the other hand, the e first order approximation system could be derived from Eqs. (13)(14)(15), if necessary.…”

Section: Dimensional Analysismentioning

confidence: 99%

“…On the other hand an original theoretical approach was developed in the nineties [15,16], which leads to two systems of continuum conservation equations where Kn second order terms are implicitly present: the quasi hydrodynamic (QHD) and the quasi gasdynamic (QGD) equations. Later some of these authors implemented the QHD equations for studying a plane stationary isothermal gas flow in a long microchannel [17] and obtained an analytical expression of the mass flow rate in which the structure is similar to those derived from the NS system associated to a second order slip condition.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analytical and numerical description for isothermal gas flows in microchannels

Graur

Méolans

Zeitoun

2005

Microfluid Nanofluid

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Analytical solutions for the pressure and the velocity profiles in a microchannel are derived from the quasi gasdynamic equations (QGD). An expansion method according to a small geometric parameter e is undertaken to obtain the isothermal flow parameters. The deduced expression of the mass flow rate is similar to the analytical expression obtained from the NavierStokes equations with a second order slip boundary condition and gives results in agreement with the measurements. The analytical expression of the pressure predicts accurately the measured pressure distribution. The effects of the rarefaction and of the compressibility on pressure distributions are discussed. The numerical calculations based on the full system of the QGD equations were carried out for different sizes of the microchannels and for different gases. The numerical results confirm the validity of the analytical approach.

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“…On the other hand, the e first order approximation system could be derived from Eqs. (13)(14)(15), if necessary.…”

Section: Dimensional Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical and numerical description for isothermal gas flows in microchannels

Graur

Méolans

Zeitoun

2005

Microfluid Nanofluid

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“…In the present paper we report a detailed quantitative experimental investigation of a reference supersonic jet of CO 2 by means of high-sensitivity Raman spectroscopy, jointly with its simulation within a two-dimensional computational approach based on the numerical solution of the quasi-gasdynamic (QGD) equations developed by Elizarova et al (1995).…”

Section: Introductionmentioning

confidence: 99%

Experimental and numerical investigation of an axisymmetric supersonic jet

et al. 2001

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A comprehensive study of a steady axisymmetric supersonic jet of CO 2 , including experiment, theory, and numerical calculation, is presented. The experimental part, based on high-sensitivity Raman spectroscopy mapping, provides absolute density and rotational temperature maps covering the significant regions of the jet: the zone of silence, barrel shock, Mach disk, and subsonic region beyond the Mach disk. The interpretation is based on the quasi-gasdynamic (QGD) system of equations, and its generalization (QGDR) considering the translational-rotational breakdown of thermal equilibrium. QGD and QGDR systems of equations are solved numerically in terms of a finite-difference algorithm with the steady state attained as the limit of a time-evolving process. Numerical results show a good global agreement with experiment, and provide information on those quantities not measured in the experiment, like velocity field, Mach numbers, and pressures. According to the calculation the subsonic part of the jet, downstream of the Mach disk, encloses a low-velocity recirculation vortex ring.

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“…Several corrections extending applicability of the continuum level modeling to higher Knudsen numbers have been developed in the past including quasihydrodynamics, quasi-gas dynamics, and Burnett and super-Burnett systems. 26,31,32 Apart from the form of the governing equations, boundary conditions in micro-and nanofluidic systems exhibit dependence on the Knudsen number. For example, the no-slip condition for velocity at a solid stationary wall becomes inappropriate when Kn > 0.001 (see, for example, Ref.…”

Section: At the Boundaries Of Continuummentioning

confidence: 99%