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Volumn 9, Issue 6, 2010, Pages 1103-1114

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

Author keywords

Binary rarefied gas flows; Discrete velocity method; Flow rate measurement; McCormack model

Indexed keywords

BINARY GAS; COMPARATIVE STUDIES; COMPUTATIONAL RESULTS; CONCENTRATION DISTRIBUTIONS; CONSTANT VOLUME METHOD; DIFFUSION EFFECTS; DISCRETE VELOCITY METHOD; EXPERIMENTAL WORKS; FLOW RATE MEASUREMENT; GASEOUS FLOW; KNUDSEN NUMBERS; MCCORMACK KINETIC MODEL; MCCORMACK MODEL; MIXTURE CONCENTRATION; MODELING AND MEASUREMENT; MOLAR FLOW RATES; PRESSURE-DRIVEN; RAREFIED GAS FLOW; RECTANGULAR MICROCHANNELS; THEORETICAL FORMULATION; TRANSITION REGIMES;

EID: 78649733475     PISSN: 16134982     EISSN: 16134990     Source Type: Journal    
DOI: 10.1007/s10404-010-0631-2     Document Type: Article
Times cited : (51)

References (42)
  • 1
    • 85088342267 scopus 로고    scopus 로고
    • Dynamics of rarefied gas flows: Asymptotic and numerical analyses of the Boltzmann equation
    • Reno, 2001-0874
    • Aoki K (2001) Dynamics of rarefied gas flows: asymptotic and numerical analyses of the Boltzmann equation. In: 39th AIAA aerospace science meeting and exhibit, Reno, 2001-0874
    • (2001) 39th AIAA Aerospace Science Meeting and Exhibit
    • Aoki, K.1
  • 3
    • 47549111170 scopus 로고    scopus 로고
    • Rarefied gas flow in concentric annular tube: Estimation of the Poiseuille number and the exact hydraulic diameter
    • 1147.76052 10.1016/j.euromechflu.2007.10.002
    • G Breyiannis S Varoutis D Valougeorgis 2008 Rarefied gas flow in concentric annular tube: Estimation of the Poiseuille number and the exact hydraulic diameter Eur J Mech B Fluids 27 609 622 1147.76052 10.1016/j.euromechflu.2007.10.002
    • (2008) Eur J Mech B Fluids , vol.27 , pp. 609-622
    • Breyiannis, G.1    Varoutis, S.2    Valougeorgis, D.3
  • 5
    • 22244470414 scopus 로고    scopus 로고
    • Rarefaction and compressibility effects on steady and transient gas flows in microchannels
    • DOI 10.1007/s10404-004-0002-y
    • S Colin 2005 Rarefaction and compressibility effects on steady and transient gas flows in microchannels Microfluid. Nanofluidics 1 268 279 10.1007/s10404-004-0002-y (Pubitemid 40986344)
    • (2005) Microfluidics and Nanofluidics , vol.1 , Issue.3 , pp. 268-279
    • Colin, S.1
  • 6
    • 2942695109 scopus 로고    scopus 로고
    • Validation of a second-order slip flow model in rectangular microchannels
    • 10.1080/01457630490280047
    • S Colin P Lalonde R Caen 2004 Validation of a second-order slip flow model in rectangular microchannels Heat Transf Eng 25 23 30 10.1080/ 01457630490280047
    • (2004) Heat Transf Eng , vol.25 , pp. 23-30
    • Colin, S.1    Lalonde, P.2    Caen, R.3
  • 8
    • 33747874070 scopus 로고    scopus 로고
    • Mass flow rate measurements in gas micro flows
    • DOI 10.1007/s00348-006-0176-z
    • T Ewart P Perrier I Graur JG Méolans 2006 Mass flow rate measurements in gas micro flow Exp Fluids 41 487 498 10.1007/s00348-006-0176-z (Pubitemid 44290904)
    • (2006) Experiments in Fluids , vol.41 , Issue.3 , pp. 487-498
    • Ewart, T.1    Perrier, P.2    Graur, I.3    Gilbert Meolans, J.4
  • 9
    • 34547684494 scopus 로고    scopus 로고
    • Mass flow rate measurements in a microchannel, from hydrodynamic to near free molecular regimes
    • DOI 10.1017/S0022112007006374, PII S0022112007006374
    • T Ewart P Perrier IA Graur JG Méolans 2007 Mass flow rate measurements in a microchannel, from hydrodynamic to near free molecular regimes J Fluid Mech 584 337 356 1117.76300 10.1017/S0022112007006374 (Pubitemid 47215396)
    • (2007) Journal of Fluid Mechanics , vol.584 , pp. 337-356
    • Ewart, T.1    Perrier, P.2    Graur, I.A.3    Meolans, J.G.4
  • 11
    • 0029255506 scopus 로고
    • Gas flow in micro-channels
    • 10.1017/S0022112095000358
    • JC Harley Y Huang HH Bau JN Zemel 1995 Gas flow in micro-channels J Fluid Mech 284 257 274 10.1017/S0022112095000358
    • (1995) J Fluid Mech , vol.284 , pp. 257-274
    • Harley, J.C.1    Huang, Y.2    Bau, H.H.3    Zemel, J.N.4
  • 12
    • 1542786313 scopus 로고    scopus 로고
    • Micro-electro-mechanical-systems (MEMS) and fluid flows
    • 10.1146/annurev.fluid.30.1.579
    • CM Ho YC Tai 1998 Micro-electro-mechanical-systems (MEMS) and fluid flows Annu Rev Fluid Mech 30 579 612 10.1146/annurev.fluid.30.1.579
    • (1998) Annu Rev Fluid Mech , vol.30 , pp. 579-612
    • Ho, C.M.1    Tai, Y.C.2
  • 15
    • 84872193184 scopus 로고
    • Equilibrium and transport properties of the noble gases and their mixture at low densities
    • 10.1063/1.555703
    • J Kestin K Knierim EA Mason B NajaB ST Ro M Waldman 1984 Equilibrium and transport properties of the noble gases and their mixture at low densities J Phys Chem Ref Data 13 229 303 10.1063/1.555703
    • (1984) J Phys Chem Ref Data , vol.13 , pp. 229-303
    • Kestin, J.1    Knierim, K.2    Mason, E.A.3    Najab, B.4    Ro, S.T.5    Waldman, M.6
  • 16
    • 44149091698 scopus 로고    scopus 로고
    • Database for flows of binary gas mixtures through a plane microchannel
    • DOI 10.1016/j.euromechflu.2007.08.002, PII S0997754607000684
    • S Kosuge S Takata 2008 Database for flows of binary mixtures through a plane microchannel Eur J Mech B Fluids 27 444 465 1154.76048 10.1016/j.euromechflu.2007.08.002 (Pubitemid 351718368)
    • (2008) European Journal of Mechanics, B/Fluids , vol.27 , Issue.4 , pp. 444-465
    • Kosuge, S.1    Takata, S.2
  • 17
    • 43849094166 scopus 로고    scopus 로고
    • On the modelling of isothermal gas flows at the microscale
    • DOI 10.1017/S0022112008001158, PII S0022112008001158
    • DA Lockerby JM Reese 2008 On the modelling of isothermal gas flows at the microscale J Fluid Mech 604 235 261 1151.76569 10.1017/S0022112008001158 2416363 (Pubitemid 351696318)
    • (2008) Journal of Fluid Mechanics , vol.604 , pp. 235-261
    • Lockerby, D.A.1    Reese, J.M.2
  • 18
    • 58249084787 scopus 로고    scopus 로고
    • Experiments on rarefied gas flows through tubes
    • 10.1007/s10404-008-0311-7
    • L Marino 2009 Experiments on rarefied gas flows through tubes Microfluid Nanofluidics 6 109 119 10.1007/s10404-008-0311-7
    • (2009) Microfluid Nanofluidics , vol.6 , pp. 109-119
    • Marino, L.1
  • 19
    • 0141538115 scopus 로고    scopus 로고
    • Second-order slip laws in microchannels for helium and nitrogen
    • DOI 10.1063/1.1599355
    • J Maurer P Tabeling P Joseph H Willaime 2003 Second-order slip laws in microchannels for helium and nitrogen Phys Fluids 15 2613 2621 10.1063/1.1599355 (Pubitemid 37207851)
    • (2003) Physics of Fluids , vol.15 , Issue.9 , pp. 2613-2621
    • Maurer, J.1    Tabeling, P.2    Joseph, P.3    Willaime, H.4
  • 20
    • 0001390981 scopus 로고
    • Construction of linearized kinetic models for gaseous mixtures and molecular gases
    • 10.1063/1.1694272
    • FJ McCormack 1973 Construction of linearized kinetic models for gaseous mixtures and molecular gases Phys Fluids 16 2095 2105 10.1063/1.1694272
    • (1973) Phys Fluids , vol.16 , pp. 2095-2105
    • McCormack, F.J.1
  • 21
    • 20444381234 scopus 로고    scopus 로고
    • A criterion for experimental validation of slip-flow models for incompressible rarefied gases through microchannels
    • DOI 10.1007/s10404-004-0028-1
    • GL Morini M Lorenzini M Spiga 2005 A criterion for experimental validation of slip-flow models for incompressible rarefied gases through microchannels Microfluid Nanofluidics 1 190 196 10.1007/s10404-004-0028-1 (Pubitemid 40794912)
    • (2005) Microfluidics and Nanofluidics , vol.1 , Issue.2 , pp. 190-196
    • Morini, G.L.1    Lorenzini, M.2    Spiga, M.3
  • 22
    • 4243126863 scopus 로고    scopus 로고
    • Discrete velocity modelling of gaseous mixture flows in MEMS
    • 10.1016/j.spmi.2004.02.025
    • S Naris D Valougeorgis D Kalempa F Sharipov 2004 Discrete velocity modelling of gaseous mixture flows in MEMS Superlattices Microstruct 35 629 643 10.1016/j.spmi.2004.02.025
    • (2004) Superlattices Microstruct , vol.35 , pp. 629-643
    • Naris, S.1    Valougeorgis, D.2    Kalempa, D.3    Sharipov, F.4
  • 23
    • 1842587683 scopus 로고    scopus 로고
    • Gaseous mixture flow between two parallel plates in the whole range of the gas rarefaction
    • 10.1016/j.physa.2003.12.047
    • S Naris D Valougeorgis D Kalempa F Sharipov 2004 Gaseous mixture flow between two parallel plates in the whole range of the gas rarefaction Physica A 336 294 318 10.1016/j.physa.2003.12.047
    • (2004) Physica A , vol.336 , pp. 294-318
    • Naris, S.1    Valougeorgis, D.2    Kalempa, D.3    Sharipov, F.4
  • 24
    • 33645751336 scopus 로고    scopus 로고
    • Flow of gaseous mixtures through rectangular microchannels driven by pressure, temperature and concentration gradients
    • Naris S, Valougeorgis D, Kalempa D, Sharipov F (2005) Flow of gaseous mixtures through rectangular microchannels driven by pressure, temperature and concentration gradients. Phys Fluids 17:100607.1-100607.12
    • (2005) Phys Fluids , vol.17 , pp. 1006071-10060712
    • Naris, S.1    Valougeorgis, D.2    Kalempa, D.3    Sharipov, F.4
  • 28
    • 5844222967 scopus 로고
    • Onsager-Casimir reciprocity relations for open gaseous systems at arbitrary rarefaction III. Theory and its application for gaseous mixtures
    • 10.1016/0378-4371(94)90197-X 1265192
    • F Sharipov 1994 Onsager-Casimir reciprocity relations for open gaseous systems at arbitrary rarefaction III. Theory and its application for gaseous mixtures Physica A 209 457 476 10.1016/0378-4371(94)90197-X 1265192
    • (1994) Physica A , vol.209 , pp. 457-476
    • Sharipov, F.1
  • 30
    • 0032362164 scopus 로고    scopus 로고
    • Data on internal rarefied gas flows
    • 10.1063/1.556019
    • F Sharipov V Seleznev 1998 Data on internal rarefied gas flows J Phys Chem Ref Data 27 657 706 10.1063/1.556019
    • (1998) J Phys Chem Ref Data , vol.27 , pp. 657-706
    • Sharipov, F.1    Seleznev, V.2
  • 32
    • 0038507337 scopus 로고    scopus 로고
    • Velocity slip and temperature jump coefficients for gaseous mixtures. I. Viscous slip coefficient
    • DOI 10.1063/1.1574815
    • F Sharipov D Kalempa 2003 Velocity slip and temperature jump coefficients for gaseous mixtures. I. Viscous slip problem Phys Fluids 15 1800 1806 10.1063/1.1574815 (Pubitemid 36785226)
    • (2003) Physics of Fluids , vol.15 , Issue.6 , pp. 1800-1806
    • Sharipov, F.1    Kalempa, D.2
  • 33
    • 31144474749 scopus 로고    scopus 로고
    • Separation phenomena for gaseous mixture flowing through a long tube into vacuum
    • Sharipov F, Kalempa D (2005) Separation phenomena for gaseous mixture flowing through a long tube into vacuum. Phys Fluids 17:127102.1-127102.8
    • (2005) Phys Fluids , vol.17 , pp. 1271021-1271028
    • Sharipov, F.1    Kalempa, D.2
  • 34
    • 3042826319 scopus 로고    scopus 로고
    • The McCormack model: Channel flow of a binary gas mixture driven by temperature, pressure and density gradients
    • 1060.76631 10.1016/j.euromechflu.2004.03.003 2148675
    • CE Siewert D Valougeorgis 2004 The McCormack model: channel flow of a binary gas mixture driven by temperature, pressure and density gradients Eur J Mech B Fluids 23 645 664 1060.76631 10.1016/j.euromechflu.2004.03.003 2148675
    • (2004) Eur J Mech B Fluids , vol.23 , pp. 645-664
    • Siewert, C.E.1    Valougeorgis, D.2
  • 35
    • 34247535849 scopus 로고    scopus 로고
    • Multiple-relaxation time lattice Boltzmann method for the finite Knudsen number region
    • DOI 10.1016/j.physa.2007.01.013, PII S0378437107000647
    • L Szalmas 2007 Multiple-relaxation time lattice Boltzmann method for the finite Knudsen number region Physica A 379 401 408 10.1016/j.physa.2007.01.013 (Pubitemid 46654667)
    • (2007) Physica A: Statistical Mechanics and its Applications , vol.379 , Issue.2 , pp. 401-408
    • Szalmas, L.1
  • 36
    • 77956263972 scopus 로고    scopus 로고
    • Rarefied gas flow of binary mixtures through long channels with triangular and trapezoidal cross sections
    • doi: 10.1007/s10404-010-0564-9
    • Szalmas L, Valougeorgis D (2010) Rarefied gas flow of binary mixtures through long channels with triangular and trapezoidal cross sections. Microfluid Nanofluidics. doi: 10.1007/s10404-010-0564-9
    • (2010) Microfluid Nanofluidics
    • Szalmas, L.1    Valougeorgis, D.2
  • 37
    • 0348146491 scopus 로고    scopus 로고
    • Numerical analysis of thermal-slip and diffusion-slip flows of a binary mixture of hard-sphere molecular gases
    • DOI 10.1063/1.1624075
    • S Takata S Yasuda S Kosuge K Aoki 2003 Numerical analysis of thermal-slip and diffusion-slip flows of a binary mixture of hard-sphere molecular gases Phys Fluids 15 3745 3766 10.1063/1.1624075 (Pubitemid 38013223)
    • (2003) Physics of Fluids , vol.15 , Issue.12 , pp. 3745-3766
    • Takata, S.1    Yasuda, S.2    Kosuge, S.3    Aoki, K.4
  • 38
    • 33846186855 scopus 로고    scopus 로고
    • Gas separation by means of the Knudsen compressor
    • DOI 10.1016/j.euromechflu.2006.05.002, PII S0997754606000616
    • S Takata H Sugimoto S Kosuge 2007 Gas separation by means of the Knudsen compressor Eur J Mech B Fluids 26 155 181 1124.76048 10.1016/j.euromechflu.2006. 05.002 2292272 (Pubitemid 46109322)
    • (2007) European Journal of Mechanics, B/Fluids , vol.26 , Issue.2 , pp. 155-181
    • Takata, S.1    Sugimoto, H.2    Kosuge, S.3
  • 39
    • 1842576197 scopus 로고    scopus 로고
    • Acceleration schemes of the discrete velocity method: Gaseous flows in rectangular microchannels
    • 1163.65302 10.1137/S1064827502406506 2058074
    • D Valougeorgis S Naris 2003 Acceleration schemes of the discrete velocity method: Gaseous flows in rectangular microchannels SIAM J Sci Comput 25 534 552 1163.65302 10.1137/S1064827502406506 2058074
    • (2003) SIAM J Sci Comput , vol.25 , pp. 534-552
    • Valougeorgis, D.1    Naris, S.2
  • 40
    • 58149512537 scopus 로고    scopus 로고
    • Computational and experimental study of gas flows through long channels of various cross sections in the whole range of the Knudsen number
    • 10.1116/1.3043463
    • S Varoutis S Naris V Hauer C Day D Valougeorgis 2009 Computational and experimental study of gas flows through long channels of various cross sections in the whole range of the Knudsen number J Vac Sci Technol A 27 89 100 10.1116/1.3043463
    • (2009) J Vac Sci Technol A , vol.27 , pp. 89-100
    • Varoutis, S.1    Naris, S.2    Hauer, V.3    Day, C.4    Valougeorgis, D.5
  • 41
    • 34249834360 scopus 로고
    • A convergence proof for Bird direct simulation Monte Carlo method for the Boltzmann equation
    • 0899.76312 10.1007/BF01055714
    • W Wagner 1992 A convergence proof for Bird direct simulation Monte Carlo method for the Boltzmann equation J Stat Phys 66 1011 1044 0899.76312 10.1007/BF01055714
    • (1992) J Stat Phys , vol.66 , pp. 1011-1044
    • Wagner, W.1
  • 42
    • 0037059085 scopus 로고    scopus 로고
    • Subsonic gas flow in a straight and uniform microchannel
    • DOI 10.1017/S0022112002002203
    • Y Zohar SYK Lee WY Lee L Jiang P Tong 2002 Subsonic gas flow in a straight and uniform microchannel J Fluid Mech 472 125 151 1037.76030 10.1017/S0022112002002203 (Pubitemid 36022113)
    • (2002) Journal of Fluid Mechanics , vol.472 , pp. 125-151
    • Zohar, Y.1    Lee, S.Y.K.2    Lee, W.Y.3    Jiang, L.4    Tong, P.5


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