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Volumn 21, Issue 8, 2009, Pages

Extending the Navier-stokes solutions to transition regime in two-dimensional micro- and nanochannel flows using information preservation scheme

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; FLOW OF GASES; KINETIC THEORY; MASS TRANSFER; MONTE CARLO METHODS; NANOFLUIDICS; PRESSURE DISTRIBUTION; SHEAR STRESS; VISCOSITY;

EID: 70049091579     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3177351     Document Type: Article
Times cited : (101)

References (39)
  • 3
    • 0001582285 scopus 로고    scopus 로고
    • "Statistical simulation of low-speed unidirectional flows in transition regime"
    • in edited by R. Brun, R. Campargue, R. Gatignol, and J. C. Lengrand (Cepadus-Editions, Toulouse)
    • J. Fan and C. Shen, "Statistical simulation of low-speed unidirectional flows in transition regime," in Rarefied Gas Dynamics, 2, edited by R. Brun, R. Campargue, R. Gatignol, and J. C. Lengrand (Cepadus-Editions, Toulouse, 1999).
    • (1999) Rarefied Gas Dynamics , vol.2
    • Fan, J.1    Shen, C.2
  • 5
    • 33644801330 scopus 로고    scopus 로고
    • "Challenges in modeling gas-phase flow in microchannels: From slip to transition"
    • HTEND20145-7632 10.1080/01457630500522271
    • R. W. Barber and D. R. Emerson, "Challenges in modeling gas-phase flow in microchannels: From slip to transition," Heat Transfer Eng. HTEND20145-7632 27, 3 (2006). 10.1080/01457630500522271
    • (2006) Heat Transfer Eng. , vol.27 , pp. 3
    • Barber, R.W.1    Emerson, D.R.2
  • 6
    • 0035529580 scopus 로고    scopus 로고
    • "High-order boundary conditions for gaseous flows in rectangular microducts"
    • MTENFP1089-3954 10.1080/108939501300005367
    • C. Aubert and S. Colin, "High-order boundary conditions for gaseous flows in rectangular microducts," Microscale Thermophys. Eng. MTENFP1089-3954 5, 41 (2001). 10.1080/108939501300005367
    • (2001) Microscale Thermophys. Eng. , vol.5 , pp. 41
    • Aubert, C.1    Colin, S.2
  • 7
    • 0033239234 scopus 로고    scopus 로고
    • "A model for flows in channels, pipes, and ducts at micro and nano scales"
    • MTENFP1089-3954 10.1080/108939599199864
    • A. Beskok and G. E. Karniadakis, "A model for flows in channels, pipes, and ducts at micro and nano scales," Microscale Thermophys. Eng. MTENFP1089-3954 3, 43 (1999). 10.1080/108939599199864
    • (1999) Microscale Thermophys. Eng. , vol.3 , pp. 43
    • Beskok, A.1    Karniadakis, G.E.2
  • 8
    • 2942695109 scopus 로고    scopus 로고
    • "Validation of a second-order slip flow model in rectangular microchannels"
    • HTEND20145-7632 10.1080/01457630490280047
    • S. Colin, P. Lalonde, and R. Caen, "Validation of a second-order slip flow model in rectangular microchannels," Heat Transfer Eng. HTEND20145-7632 25, 23 (2004). 10.1080/01457630490280047
    • (2004) Heat Transfer Eng. , vol.25 , pp. 23
    • Colin, S.1    Lalonde, P.2    Caen, R.3
  • 9
    • 34547726186 scopus 로고    scopus 로고
    • "Developing consistent inlet boundary conditions to study the entrance zone in microchannels"
    • JTHTEO0887-8722 10.2514/1.27509
    • M. Darbandi and S. Vakilipour, "Developing consistent inlet boundary conditions to study the entrance zone in microchannels," J. Thermophys. Heat Transfer JTHTEO0887-8722 21, 596 (2007). 10.2514/ 1.27509
    • (2007) J. Thermophys. Heat Transfer , vol.21 , pp. 596
    • Darbandi, M.1    Vakilipour, S.2
  • 10
    • 84920456155 scopus 로고    scopus 로고
    • "Solution of thermally developing zone in short micro/nano scale channels"
    • JHTRAO0022-1481 10.1115/1.3072908
    • M. Darbandi and S. Vakilipour, "Solution of thermally developing zone in short micro/nano scale channels," ASME J. Heat Transfer JHTRAO0022-1481 131, 044501 (2009). 10.1115/1.3072908
    • (2009) ASME J. Heat Transfer , vol.131 , pp. 044501
    • Darbandi, M.1    Vakilipour, S.2
  • 11
    • 67649933720 scopus 로고    scopus 로고
    • "Advancement in numerical study of gas flow and heat transfer in microchannels"
    • JTHTEO0887-8722 10.2514/1.37037
    • S. Vakilipour and M. Darbandi, "Advancement in numerical study of gas flow and heat transfer in microchannels," J. Thermophys. Heat Transfer JTHTEO0887-8722 23, 205 (2009). 10.2514/1.37037
    • (2009) J. Thermophys. Heat Transfer , vol.23 , pp. 205
    • Vakilipour, S.1    Darbandi, M.2
  • 12
    • 3343013397 scopus 로고    scopus 로고
    • "Performance of an analogy-based all-speed procedure without any explicit damping"
    • CMMEEE0178-7675 10.1007/s004660000194
    • M. Darbandi and G. E. Schneider, "Performance of an analogy-based all-speed procedure without any explicit damping," Comput. Mech. CMMEEE0178-7675 26, 459 (2000). 10.1007/s004660000194
    • (2000) Comput. Mech. , vol.26 , pp. 459
    • Darbandi, M.1    Schneider, G.E.2
  • 13
    • 38349172408 scopus 로고    scopus 로고
    • "Developing implicit pressure-weighted upwinding scheme to calculate steady and unsteady flows on unstructured grids"
    • IJNFDW0271-2091 10.1002/fld.1451
    • M. Darbandi and S. Vakilipour, "Developing implicit pressure-weighted upwinding scheme to calculate steady and unsteady flows on unstructured grids," Int. J. Numer. Methods Fluids IJNFDW0271-2091 56, 115 (2008). 10.1002/fld.1451
    • (2008) Int. J. Numer. Methods Fluids , vol.56 , pp. 115
    • Darbandi, M.1    Vakilipour, S.2
  • 14
    • 40749138584 scopus 로고    scopus 로고
    • "Conceptual linearization of Euler governing equations to solve high speed compressible flow using a pressure-based method"
    • NMPDEB0749-159X 10.1002/num.20275
    • M. Darbandi, E. Roohi, and V. Mokarizadeh, "Conceptual linearization of Euler governing equations to solve high speed compressible flow using a pressure-based method," Numer. Methods Partial Differ. Equ. NMPDEB0749-159X 24, 583 (2008). 10.1002/num.20275
    • (2008) Numer. Methods Partial Differ. Equ. , vol.24 , pp. 583
    • Darbandi, M.1    Roohi, E.2    Mokarizadeh, V.3
  • 15
    • 34247641265 scopus 로고    scopus 로고
    • "Analytical solution of gaseous slip flow in long microchannels"
    • IJHMAK0017-9310 10.1016/j.ijheatmasstransfer.2007.01.048
    • N. Dongari, Ab. Agrawal, and Ag. Agrawal, "Analytical solution of gaseous slip flow in long microchannels," Int. J. Heat Mass Transfer IJHMAK0017-9310 50, 3411 (2007). 10.1016/ j.ijheatmasstransfer.2007.01.048
    • (2007) Int. J. Heat Mass Transfer , vol.50 , pp. 3411
    • Dongari, N.1    Agrawal, Ab.2    Agrawal, Ag.3
  • 16
    • 67349178095 scopus 로고    scopus 로고
    • "Pressure-driven diffusive gas flows in micro-channels: From the Knudsen to the continuum regimes"
    • MNIAAR1613-4982 10.1007/s10404-008-0344-y
    • N. Dongari, A. Sharma, and F. Durst, "Pressure-driven diffusive gas flows in micro-channels: From the Knudsen to the continuum regimes," Microfluid. Nanofluid. MNIAAR1613-4982 6, 679 (2009). 10.1007/s10404-008-0344-y
    • (2009) Microfluid. Nanofluid. , vol.6 , pp. 679
    • Dongari, N.1    Sharma, A.2    Durst, F.3
  • 17
    • 55549124845 scopus 로고    scopus 로고
    • "Validation of Navier-Stokes equations for slip flow analysis within transition region"
    • IJHMAK0017-9310 10.1016/j.ijheatmasstransfer.2008.04.049
    • T. Zhang, L. Jia, and Z. Wang, "Validation of Navier-Stokes equations for slip flow analysis within transition region," Int. J. Heat Mass Transfer IJHMAK0017-9310 51, 6323 (2008). 10.1016/ j.ijheatmasstransfer.2008.04.049
    • (2008) Int. J. Heat Mass Transfer , vol.51 , pp. 6323
    • Zhang, T.1    Jia, L.2    Wang, Z.3
  • 18
    • 70049093933 scopus 로고    scopus 로고
    • "Finite volume simulation of gaseous microflows using modified boundary conditions"
    • AIAA Paper No. 2007-0934
    • M. Darbandi, S. Vakilipour, F. Rikhtegar, and G. E. Schneider, "Finite volume simulation of gaseous microflows using modified boundary conditions," AIAA Paper No. 2007-0934, 2007.
    • (2007)
    • Darbandi, M.1    Vakilipour, S.2    Rikhtegar, F.3    Schneider, G.E.4
  • 19
    • 70049101056 scopus 로고    scopus 로고
    • "Simulation of rarefied micro to nano gas flows using improved slip flow models"
    • AIAA Paper No. 2007-3991
    • M. Darbandi, F. Rikhtegar, and G. E. Schneider, "Simulation of rarefied micro to nano gas flows using improved slip flow models," AIAA Paper No. 2007-3991, 2007.
    • (2007)
    • Darbandi, M.1    Rikhtegar, F.2    Schneider, G.E.3
  • 20
    • 20444433999 scopus 로고    scopus 로고
    • "Capturing the Knudsen layer in continuum-fluid models of non equilibrium gas flows"
    • AIAJAH0001-1452 10.2514/1.13530
    • D. A. Lockerby, J. M. Reese, and M. A. Gallis, "Capturing the Knudsen layer in continuum-fluid models of non equilibrium gas flows," AIAA J. AIAJAH0001-1452 43, 1391 (2005). 10.2514/1.13530
    • (2005) AIAA J. , vol.43 , pp. 1391
    • Lockerby, D.A.1    Reese, J.M.2    Gallis, M.A.3
  • 21
    • 39149087677 scopus 로고    scopus 로고
    • "Evaluating constitutive scaling models for application to compressible microflows"
    • IJHMAK0017-9310 10.1016/j.ijheatmasstransfer.2007.12.003
    • L. O'Hare, T. J. Scanlon, D. R. Emerson, and J. M. Reese, "Evaluating constitutive scaling models for application to compressible microflows," Int. J. Heat Mass Transfer IJHMAK0017-9310 51, 1281 (2008). 10.1016/j.ijheatmasstransfer.2007.12.003
    • (2008) Int. J. Heat Mass Transfer , vol.51 , pp. 1281
    • O'Hare, L.1    Scanlon, T.J.2    Emerson, D.R.3    Reese, J.M.4
  • 22
    • 0036536058 scopus 로고    scopus 로고
    • "Computations of the flow and heat transfer in microdevices using DSMC with implicit boundary conditions"
    • JHTRAO0022-1481 10.1115/1.1447933
    • Y. Fang and W. W. Liou, "Computations of the flow and heat transfer in microdevices using DSMC with implicit boundary conditions," ASME J. Heat Transfer JHTRAO0022-1481 124, 338 (2002). 10.1115/1.1447933
    • (2002) ASME J. Heat Transfer , vol.124 , pp. 338
    • Fang, Y.1    Liou, W.W.2
  • 23
    • 11344293140 scopus 로고    scopus 로고
    • "Simulations for gas flows in microgeometries using the direct simulation Monte Carlo method"
    • IJHFD20142-727X 10.1016/j.ijheatfluidflow.2004.02.024
    • M. Wang and Z. Li, "Simulations for gas flows in microgeometries using the direct simulation Monte Carlo method," Int. J. Heat Fluid Flow IJHFD20142-727X 25, 975 (2004). 10.1016/j.ijheatfluidflow.2004.02.024
    • (2004) Int. J. Heat Fluid Flow , vol.25 , pp. 975
    • Wang, M.1    Li, Z.2
  • 25
    • 70049106157 scopus 로고    scopus 로고
    • "Direct simulation Monte Carlo solution of subsonic flow through micro-nano scale channels"
    • JHTRAO0022-1481 10.1115/1.3139105
    • E. Roohi, M. Darbandi, and V. Mirjalili, "Direct simulation Monte Carlo solution of subsonic flow through micro-nano scale channels," J. Heat Transfer JHTRAO0022-1481 131, 092402 (2009). 10.1115/1.3139105
    • (2009) J. Heat Transfer , vol.131 , pp. 092402
    • Roohi, E.1    Darbandi, M.2    Mirjalili, V.3
  • 27
    • 0034230121 scopus 로고    scopus 로고
    • "Direct simulation methods for low-speed microchannel flows"
    • JTHTEO0887-8722 10.2514/2.6534
    • C. Cai, I. D. Boyd, J. Fan, and G. V. Candler, "Direct simulation methods for low-speed microchannel flows," J. Thermophys. Heat Transfer JTHTEO0887-8722 14, 368 (2000). 10.2514/2.6534
    • (2000) J. Thermophys. Heat Transfer , vol.14 , pp. 368
    • Cai, C.1    Boyd, I.D.2    Fan, J.3    Candler, G.V.4
  • 28
    • 0035311449 scopus 로고    scopus 로고
    • "Computation of rarefied flows around a NACA 0012 airfoil"
    • AIAJAH0001-1452 10.2514/2.1384
    • J. Fan, I. D. Boyd, C. Cai, K. Hennighausen, and G. V. Candler, "Computation of rarefied flows around a NACA 0012 airfoil," AIAA J. AIAJAH0001-1452 39, 618 (2001). 10.2514/2.1384
    • (2001) AIAA J. , vol.39 , pp. 618
    • Fan, J.1    Boyd, I.D.2    Cai, C.3    Hennighausen, K.4    Candler, G.V.5
  • 29
    • 0036647480 scopus 로고    scopus 로고
    • "A direct simulation method for subsonic microscale gas flows"
    • JCTPAH0021-9991 10.1006/jcph.2002.7061
    • Q. Sun and I. D. Boyd, "A direct simulation method for subsonic microscale gas flows," J. Comput. Phys. JCTPAH0021-9991 179, 400 (2002). 10.1006/jcph.2002.7061
    • (2002) J. Comput. Phys. , vol.179 , pp. 400
    • Sun, Q.1    Boyd, I.D.2
  • 30
    • 0042156824 scopus 로고    scopus 로고
    • "Statistical simulation of rarefied gas flows in micro-channels"
    • JCTPAH0021-9991 10.1016/S0021-9991(03)00231-6
    • C. Shen, J. Fan, and C. Xie, "Statistical simulation of rarefied gas flows in micro-channels" J. Comput. Phys. JCTPAH0021-9991 189, 512 (2003). 10.1016/S0021-9991(03)00231-6
    • (2003) J. Comput. Phys. , vol.189 , pp. 512
    • Shen, C.1    Fan, J.2    Xie, C.3
  • 32
    • 27744485704 scopus 로고    scopus 로고
    • "DSMC simulations of low-density choked flow in parallel-plate channels"
    • APCPCS0094-243X 10.1063/1.1581628
    • M. Ilgaz and M. C. Çelenligil, "DSMC simulations of low-density choked flow in parallel-plate channels," AIP Conf. Proc. APCPCS0094-243X 663, 831 (2003). 10.1063/1.1581628
    • (2003) AIP Conf. Proc. , vol.663 , pp. 831
    • Ilgaz, M.1    Çelenligil, M.C.2
  • 33
    • 36549094315 scopus 로고
    • "Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard sphere molecules"
    • PFADEB0899-8213 10.1063/1.857478
    • T. Ohwada, Y. Sone, and K. Aoki, "Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard sphere molecules," Phys. Fluids A PFADEB0899-8213 1, 2042 (1989). 10.1063/1.857478
    • (1989) Phys. Fluids A , vol.1 , pp. 2042
    • Ohwada, T.1    Sone, Y.2    Aoki, K.3
  • 34
    • 0042732124 scopus 로고    scopus 로고
    • "Comment on Cercignani's second-order slip coefficient"
    • PHFLE61070-6631 10.1063/1.1587155
    • N. G. Hadjiconstantinou, "Comment on Cercignani's second-order slip coefficient," Phys. Fluids PHFLE61070-6631 15, 2352 (2003). 10.1063/ 1.1587155
    • (2003) Phys. Fluids , vol.15 , pp. 2352
    • Hadjiconstantinou, N.G.1
  • 35
    • 22244470414 scopus 로고    scopus 로고
    • "Rarefaction and compressibility effects on steady and transient gas flow in microchannels"
    • MNIAAR1613-4982 10.1007/s10404-004-0002-y
    • S. Colin, "Rarefaction and compressibility effects on steady and transient gas flow in microchannels," Microfluid. Nanofluid. MNIAAR1613-4982 1, 268 (2005). 10.1007/s10404-004-0002-y
    • (2005) Microfluid. Nanofluid. , vol.1 , pp. 268
    • Colin, S.1
  • 36
    • 0141538115 scopus 로고    scopus 로고
    • "Second-order slip laws in microchannels for helium and nitrogen"
    • PHFLE61070-6631 10.1063/1.1599355
    • J. Maurer, P. Tabelin, P. Joseph, and H. Willaime, "Second-order slip laws in microchannels for helium and nitrogen," Phys. Fluids PHFLE61070-6631 15, 2613 (2003). 10.1063/1.1599355
    • (2003) Phys. Fluids , vol.15 , pp. 2613
    • Maurer, J.1    Tabelin, P.2    Joseph, P.3    Willaime, H.4
  • 37
    • 54149095960 scopus 로고    scopus 로고
    • "Higher-order effects in rarefied channel flows"
    • PLEEE81063-651X 78 10.1103/PhysRevE.78.046301
    • H. Struchtrup and M. Torrilhon, "Higher-order effects in rarefied channel flows," Phys. Rev. E PLEEE81063-651X 78, 046301 (2008). 10.1103/PhysRevE.78.046301
    • (2008) Phys. Rev. E , pp. 046301
    • Struchtrup, H.1    Torrilhon, M.2
  • 38
    • 59649127066 scopus 로고    scopus 로고
    • "Couette and Poiseuille microflows: Analytical solution for regulized 13-moment equations"
    • PHFLE61070-6631 10.1063/1.3064123
    • P. Taheri, M. Torrilhon, and H. Struchtrup, "Couette and Poiseuille microflows: Analytical solution for regulized 13-moment equations," Phys. Fluids PHFLE61070-6631 21, 017102 (2009). 10.1063/1.3064123
    • (2009) Phys. Fluids , vol.21 , pp. 017102
    • Taheri, P.1    Torrilhon, M.2    Struchtrup, H.3


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