Comparative study between computational and experimental results for binary rarefied gas flows through long microchannels

Szalmás, Lajos; Pitakarnnop, Jeerasak; Geoffroy, Sandrine; Colin, Stéphane; Valougeorgis, Dimitris

doi:10.1007/s10404-010-0631-2

Cited by 46 publications

(26 citation statements)

References 39 publications

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“…Hydrodynamics of gases in such microchannels in the slip flow regime were analytically modeled, both with first-order [60] and second-order [59] boundary conditions. These models have been validated by experiments for simple gases or binary mixtures of gases [5,61,62]. The problem of heat transfer in rectangular microchannels is rather complicated because it requires 2D and 3D analysis and involves complex thermal boundary conditions, the most frequent of which are classified as [63,64]:…”

Section: Heat Transfer In Rectangular Microchannelsmentioning

confidence: 99%

Gas Microflows in the Slip Flow Regime: A Critical Review on Convective Heat Transfer

Colin

2011

Journal of Heat Transfer

132

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Accurate modeling of gas microvection is crucial for a lot of MEMS applications (microheat exchangers, pressure gauges, fluidic microactuators for active control of aerodynamic flows, mass flow and temperature microsensors, micropumps, and microsystems for mixing or separation for local gas analysis, mass spectrometers, vacuum, and dosing valves…). Gas flows in microsystems are often in the slip flow regime, characterized by a moderate rarefaction with a Knudsen number of the order of 10 À2 -10 À1 . In this regime, velocity slip and temperature jump at the walls play a major role in heat transfer. This paper presents a state of the art review on convective heat transfer in microchannels, focusing on rarefaction effects in the slip flow regime. Analytical and numerical models are compared for various microchannel geometries and heat transfer conditions (constant heat flux or constant wall temperature). The validity of simplifying assumptions is detailed and the role played by the kind of velocity slip and temperature jump boundary conditions is shown. The influence of specific effects, such as viscous dissipation, axial conduction and variable fluid properties is also discussed.

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Section: Heat Transfer In Rectangular Microchannelsmentioning

confidence: 99%

Gas Microflows in the Slip Flow Regime: A Critical Review on Convective Heat Transfer

Colin

2011

Journal of Heat Transfer

132

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“…1 Also, internal gas flows in channels of various cross sections (orthogonal, ellipsoidal, circular annulus, triangular) under any degree of gas rarefaction has been studied by the integro-moment method 2,3 and more recently by the discrete velocity method. 9,10 Overall it has been demonstrated that for rarefied gas flows in long channels, linear kinetic modeling, as described by suitable kinetic model equations, may take advantage of all flow characteristics and properties and yield very accurate results in the whole range of the Knudsen number with minimal computational effort. This condition is satisfied in the case of long tubes (e.g.…”

Section: Introductionmentioning

confidence: 99%

Design of steady-state isothermal gas distribution systems consisting of long tubes in the whole range of the Knudsen number

Misdanitis

Valougeorgis

2011

Journal of Vacuum Science &Amp; Technology A: Vacuum, Surfaces, and Films

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Articles you may be interested inRarefied gas flow through a thin slit into vacuum simulated by the Monte Carlo method over the whole range of the Knudsen number Computational and experimental study of gas flows through long channels of various cross sections in the whole range of the Knudsen number The driven cavity flow over the whole range of the Knudsen number Phys. Fluids 17, 097106 (2005); 10.1063/1.2047549 Gaseous mixture flow through a long tube at arbitrary Knudsen numbers J. Vac. Sci. Technol. A 20, 814 (2002); 10.1116/1.1469010Thermodynamically consistent hydrodynamic computational models for high-Knudsen-number gas flows A novel algorithm is developed to solve steady-state isothermal vacuum gas dynamics flows through pipe networks consisting of long tubes based on linear kinetic theory. For a pipe network of known geometry the algorithm is capable of computing the mass flow rates (or the conductance) through the pipes as well as the pressure heads at the nodes of the network. The pressure distribution along each pipe element may also be found. Since a linear kinetic approach is implemented the analysis is valid and the results are accurate in the whole range of the Knudsen number, provided that the local pressure gradient along each tube of the network is small. This latter condition is satisfied when the channel is sufficiently long. The involved computational effort is very small. This is achieved by successfully integrating the linear kinetic results for the single tubes into the general solver for designing the gas pipe network. To demonstrate the feasibility of the approach two typical piping systems one in the range of small and a second one in the range of moderate Knudsen numbers are simulated. The proposed algorithm simulates, in an exact manner, low-speed gas distribution systems under any vacuum conditions based on linear kinetic modeling and constitutes a significant advancement tool in vacuum technology.

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“…40 With the helium-argon mixture, and for pressure-driven flows through long microchannel with rectangular cross section, a comparative study between theoretical and experimental results was carried out. 43 The authors obtained very good consensus on a large range of Knudsen numbers in the transition regime. This bibliography includes numerical works by Takata et al 44 on the two linearized Boltzmann equations, simulations on complex geometries with the conventional DSMC method, 2 and those performed with modified DSMC method.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic modeling of thermal binary monatomic gas flows in plane microchannels—Comparison with DSMC simulations

Gatignol

Croizet

2017

Physics of Fluids

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To cite this version:Renée Gatignol, Cédric Croizet. Asymptotic modeling of thermal binary monatomic gas flows in plane microchannels-Comparison with DSMC simulations. Physics of Fluids, American Institute of Physics, 2017, 29 (4) Asymptotic models are constructed to investigate the basic physical phenomena of thermal flows of a mixture of two monatomic gases inside a two-dimensional microchannel. The steady flows are described by the Navier-Stokes-Fourier balance equations, with additional coupling terms in momentum and energy equations, and with first-order slip boundary conditions for the velocities and jump boundary conditions for the temperatures on the two walls. The small parameter equal to the ratio of the two longitudinal and transverse lengths is introduced, and then an asymptotic model is proposed. It corresponds to small Mach numbers and small or moderate Knudsen numbers. Attention is paid to the first-order asymptotic solutions. Results are given and discussed for different cases: the mass flow rates, the molecular weights of the gases, and the temperature gradients along the walls. Comparisons between the first-order asymptotic solutions and Direct Simulation Monte Carlo (DSMC) simulations corresponding to the same physical data show rather good agreement. It should be noted that obtaining an asymptotic solution is very fast compared to obtaining a DSMC result. Published by AIP Publishing. [http://dx

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Comparative study between computational and experimental results for binary rarefied gas flows through long microchannels

Cited by 46 publications

References 39 publications

Gas Microflows in the Slip Flow Regime: A Critical Review on Convective Heat Transfer

Gas Microflows in the Slip Flow Regime: A Critical Review on Convective Heat Transfer

Design of steady-state isothermal gas distribution systems consisting of long tubes in the whole range of the Knudsen number

Asymptotic modeling of thermal binary monatomic gas flows in plane microchannels—Comparison with DSMC simulations

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