메뉴 건너뛰기




Volumn 24, Issue 11, 2012, Pages

Lattice Boltzmann simulations of pressure-driven flows in microchannels using Navier-Maxwell slip boundary conditions

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY LAYERS; COMPUTATIONAL FLUID DYNAMICS; DISTRIBUTION FUNCTIONS; KINETIC THEORY; LATTICE THEORY; MICROCHANNELS; STRAIN RATE; VELOCITY;

EID: 84872392180     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4764514     Document Type: Article
Times cited : (42)

References (61)
  • 1
    • 1542786313 scopus 로고    scopus 로고
    • Micro-electro-mechanical-systems (MEMS) fluid flows
    • 10.1146/annurev.fluid.30.1.579
    • Ho C.-M. Tai Y.-C. Micro-electro-mechanical-systems (MEMS) fluid flows. Annu. Rev. Fluid Mech. 1998, 30:579. 10.1146/annurev.fluid.30.1.579.
    • (1998) Annu. Rev. Fluid Mech. , vol.30 , pp. 579
    • Ho, C.-M.1    Tai, Y.-C.2
  • 2
    • 0001770219 scopus 로고    scopus 로고
    • The fluid mechanics of microdevices
    • 10.1115/1.2822013
    • Gad-el Hak M. The fluid mechanics of microdevices. ASME J. Fluids Eng. 1999, 121:5. 10.1115/1.2822013.
    • (1999) ASME J. Fluids Eng. , vol.121 , pp. 5
    • Gad-el Hak, M.1
  • 4
    • 0032362164 scopus 로고    scopus 로고
    • Data on internal rarefied gas flows
    • 10.1063/1.556019
    • Sharipov F. Seleznev V. Data on internal rarefied gas flows. J. Phys. Chem. Ref. Data 1998, 27:657. 10.1063/1.556019.
    • (1998) J. Phys. Chem. Ref. Data , vol.27 , pp. 657
    • Sharipov, F.1    Seleznev, V.2
  • 5
    • 0000218021 scopus 로고
    • Kinetic theory in aerothermodynamics
    • 10.1016/0376-0421(92)90007-5
    • Kogan M.N. Kinetic theory in aerothermodynamics. Prog. Aerosp. Sci. 1992, 29:271. 10.1016/0376-0421(92)90007-5.
    • (1992) Prog. Aerosp. Sci. , vol.29 , pp. 271
    • Kogan, M.N.1
  • 7
    • 33751574666 scopus 로고    scopus 로고
    • The limits of Navier-Stokes theory kinetic extensions for describing small-scale gaseous hydrodynamics
    • 10.1063/1.2393436
    • Hadjiconstantinou N.G. The limits of Navier-Stokes theory kinetic extensions for describing small-scale gaseous hydrodynamics. Phys. Fluids 2006, 18:111301. 10.1063/1.2393436.
    • (2006) Phys. Fluids , vol.18 , pp. 111301
    • Hadjiconstantinou, N.G.1
  • 12
    • 0000911805 scopus 로고
    • On stresses in rarified gases arising from inequalities of temperature
    • 10.1098/rstl.1879.0067
    • Maxwell J.C. On stresses in rarified gases arising from inequalities of temperature. Philos. Trans. R. Soc. London 1879, 170:231. 10.1098/rstl.1879.0067.
    • (1879) Philos. Trans. R. Soc. London , vol.170 , pp. 231
    • Maxwell, J.C.1
  • 15
    • 0004094529 scopus 로고
    • (Cambridge University Press, Cambridge).
    • Gombosi T.I. Gaskinetic Theory 1994, (Cambridge University Press, Cambridge).
    • (1994) Gaskinetic Theory
    • Gombosi, T.I.1
  • 16
    • 84956111432 scopus 로고
    • Lattice BGK models for the Navier-Stokes equation
    • 10.1209/0295-5075/17/6/001
    • Qian Y.H. d'Humières D. LallemP. Lattice BGK models for the Navier-Stokes equation. Europhys. Lett. 1992, 17:479. 10.1209/0295-5075/17/6/001.
    • (1992) Europhys. Lett. , vol.17 , pp. 479
    • Qian, Y.H.1    d'Humières, D.2    Lallem, P.3
  • 17
    • 41349084147 scopus 로고    scopus 로고
    • Kinetic boundary conditions in the lattice Boltzmann method
    • 10.1103/PhysRevE.66.026311
    • Ansumali S. Karlin I.V. Kinetic boundary conditions in the lattice Boltzmann method. Phys. Rev. E 2002, 66:026311. 10.1103/PhysRevE.66.026311.
    • (2002) Phys. Rev. E , vol.66 , pp. 026311
    • Ansumali, S.1    Karlin, I.V.2
  • 18
    • 27844553452 scopus 로고    scopus 로고
    • Gas flow in microchannels - A lattice Boltzmann method approach
    • 10.1007/s10955-005-8416-9
    • Zhang Y. Qin R. Sun Y. Barber R. Emerson D. Gas flow in microchannels - A lattice Boltzmann method approach. J. Stat. Phys. 2005, 121:257. 10.1007/s10955-005-8416-9.
    • (2005) J. Stat. Phys. , vol.121 , pp. 257
    • Zhang, Y.1    Qin, R.2    Sun, Y.3    Barber, R.4    Emerson, D.5
  • 19
    • 0141450124 scopus 로고    scopus 로고
    • Lattice-Boltzmann simulations of fluid flows in MEMS
    • 10.1023/A:1014523007427
    • Nie X. Doolen G.D. Chen S. Lattice-Boltzmann simulations of fluid flows in MEMS. J. Stat. Phys. 2002, 107:279. 10.1023/A:1014523007427.
    • (2002) J. Stat. Phys. , vol.107 , pp. 279
    • Nie, X.1    Doolen, G.D.2    Chen, S.3
  • 20
    • 0036639879 scopus 로고    scopus 로고
    • Application of lattice Boltzmann method to simulate microchannel flows
    • 10.1063/1.1483841
    • Lim C.Y. Shu C. Niu X.D. Chew Y.T. Application of lattice Boltzmann method to simulate microchannel flows. Phys. Fluids 2002, 14:2299. 10.1063/1.1483841.
    • (2002) Phys. Fluids , vol.14 , pp. 2299
    • Lim, C.Y.1    Shu, C.2    Niu, X.D.3    Chew, Y.T.4
  • 21
    • 37649027266 scopus 로고    scopus 로고
    • Rarefaction compressibility effects of the lattice-Boltzmann-equation method in a gas microchannel
    • 10.1103/PhysRevE.71.046706
    • Lee T. Lin C.-L. Rarefaction compressibility effects of the lattice-Boltzmann-equation method in a gas microchannel. Phys. Rev. E 2005, 71:046706. 10.1103/PhysRevE.71.046706.
    • (2005) Phys. Rev. E , vol.71 , pp. 046706
    • Lee, T.1    Lin, C.-L.2
  • 22
    • 20444387959 scopus 로고    scopus 로고
    • Lattice Boltzmann method for gaseous microflows using kinetic theory boundary conditions
    • 10.1063/1.1897010
    • Tang G.H. Tao W.Q. He Y.L. Lattice Boltzmann method for gaseous microflows using kinetic theory boundary conditions. Phys. Fluids 2005, 17:058101. 10.1063/1.1897010.
    • (2005) Phys. Fluids , vol.17 , pp. 058101
    • Tang, G.H.1    Tao, W.Q.2    He, Y.L.3
  • 23
    • 0037026130 scopus 로고    scopus 로고
    • Mesoscopic modeling of slip motion at fluid-solid interfaces with heterogeneous catalysis
    • 10.1103/PhysRevLett.89.064502
    • Succi S. Mesoscopic modeling of slip motion at fluid-solid interfaces with heterogeneous catalysis. Phys. Rev. Lett. 2002, 89:064502. 10.1103/PhysRevLett.89.064502.
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 064502
    • Succi, S.1
  • 24
    • 27144465969 scopus 로고    scopus 로고
    • Analytical calculation of slip flow in lattice Boltzmann models with kinetic boundary conditions
    • 10.1063/1.2044829
    • Sbragaglia M. Succi S. Analytical calculation of slip flow in lattice Boltzmann models with kinetic boundary conditions. Phys. Fluids 2005, 17:093602. 10.1063/1.2044829.
    • (2005) Phys. Fluids , vol.17 , pp. 093602
    • Sbragaglia, M.1    Succi, S.2
  • 25
    • 55549133585 scopus 로고    scopus 로고
    • Lattice Boltzmann modeling of microchannel flow in slip flow regime
    • 10.1016/j.jcp.2008.09.004
    • Verhaeghe F. Luo L.-S. Blanpain B. Lattice Boltzmann modeling of microchannel flow in slip flow regime. J. Comput. Phys. 2009, 228:147. 10.1016/j.jcp.2008.09.004.
    • (2009) J. Comput. Phys. , vol.228 , pp. 147
    • Verhaeghe, F.1    Luo, L.-S.2    Blanpain, B.3
  • 26
    • 0031116098 scopus 로고    scopus 로고
    • Analytic solutions of simple flows analysis of nonslip boundary conditions for the lattice Boltzmann BGK model
    • 10.1007/BF02181482
    • He X.Y. Zou Q.S. Luo L.S. Dembo M. Analytic solutions of simple flows analysis of nonslip boundary conditions for the lattice Boltzmann BGK model. J. Stat. Phys. 1997, 87:115. 10.1007/BF02181482.
    • (1997) J. Stat. Phys. , vol.87 , pp. 115
    • He, X.Y.1    Zou, Q.S.2    Luo, L.S.3    Dembo, M.4
  • 27
    • 84866298232 scopus 로고    scopus 로고
    • A lattice Boltzmann model for diffusion of binary gas mixtures
    • Ph.D. dissertation (University of Cambridge, ), see also at .
    • Bennett S. A lattice Boltzmann model for diffusion of binary gas mixtures. 2010, "," Ph.D. dissertation (University of Cambridge, ), see also at.
    • (2010)
    • Bennett, S.1
  • 28
    • 84859621427 scopus 로고    scopus 로고
    • A lattice Boltzmann model for diffusion of binary gas mixtures that includes diffusion slip
    • 10.1002/fld.2549
    • Bennett S. Asinari P. Dellar P.J. A lattice Boltzmann model for diffusion of binary gas mixtures that includes diffusion slip. Int. J. Numer. Methods Fluids 2012, 69:171. 10.1002/fld.2549.
    • (2012) Int. J. Numer. Methods Fluids , vol.69 , pp. 171
    • Bennett, S.1    Asinari, P.2    Dellar, P.J.3
  • 29
    • 33750046359 scopus 로고    scopus 로고
    • Capturing Knudsen layer phenomena using a lattice Boltzmann model
    • 10.1103/PhysRevE.74.046704
    • Zhang Y.-H. Gu X.-J. Barber R.W. Emerson D.R. Capturing Knudsen layer phenomena using a lattice Boltzmann model. Phys. Rev. E 2006, 74:046704. 10.1103/PhysRevE.74.046704.
    • (2006) Phys. Rev. E , vol.74 , pp. 046704
    • Zhang, Y.-H.1    Gu, X.-J.2    Barber, R.W.3    Emerson, D.R.4
  • 30
    • 40549141461 scopus 로고    scopus 로고
    • Slip velocity Knudsen layer in the lattice Boltzmann method for microscale flows
    • 10.1103/PhysRevE.77.026704
    • Kim S.H. Pitsch H. Boyd I.D. Slip velocity Knudsen layer in the lattice Boltzmann method for microscale flows. Phys. Rev. E 2008, 77:026704. 10.1103/PhysRevE.77.026704.
    • (2008) Phys. Rev. E , vol.77 , pp. 026704
    • Kim, S.H.1    Pitsch, H.2    Boyd, I.D.3
  • 31
    • 46249125568 scopus 로고    scopus 로고
    • Velocity profile in the Knudsen layer according to the Boltzmann equation
    • 10.1098/rspa.2008.0071
    • Lilley C.R. Sader J.E. Velocity profile in the Knudsen layer according to the Boltzmann equation. Proc. R. Soc. London, Ser. A 2008, 464:2015. 10.1098/rspa.2008.0071.
    • (2008) Proc. R. Soc. London, Ser. A , vol.464 , pp. 2015
    • Lilley, C.R.1    Sader, J.E.2
  • 32
    • 26344468007 scopus 로고
    • A model for collision processes in gases. I. Small amplitude processes in charged neutral one-component system
    • 10.1103/PhysRev.94.511
    • Bhatnagar P.L. Gross E.P. Krook M. A model for collision processes in gases. I. Small amplitude processes in charged neutral one-component system. Phys. Rev. 1954, 94:511. 10.1103/PhysRev.94.511.
    • (1954) Phys. Rev. , vol.94 , pp. 511
    • Bhatnagar, P.L.1    Gross, E.P.2    Krook, M.3
  • 33
    • 0001133794 scopus 로고
    • Boundary flow condition analysis for the three-dimensional lattice Boltzmann model
    • 10.1051/jp2:1994123
    • Ginzbourg I. Adler M.P. Boundary flow condition analysis for the three-dimensional lattice Boltzmann model. J. Phys. II France 1994, 4:191. 10.1051/jp2:1994123.
    • (1994) J. Phys. II France , vol.4 , pp. 191
    • Ginzbourg, I.1    Adler, M.P.2
  • 34
    • 9744232189 scopus 로고    scopus 로고
    • Examination of the LBM in simulation of microchannel flow in transitional regime
    • 10.1080/10893950490516983
    • Shen C. Tian D.B. Xie C. Fan J. Examination of the LBM in simulation of microchannel flow in transitional regime. Microscale Thermophys. Eng. 2004, 8:423. 10.1080/10893950490516983.
    • (2004) Microscale Thermophys. Eng. , vol.8 , pp. 423
    • Shen, C.1    Tian, D.B.2    Xie, C.3    Fan, J.4
  • 35
    • 51249194405 scopus 로고
    • On the behaviour of a gas near a wall
    • 10.1007/BF02780993
    • Kramers H.A. On the behaviour of a gas near a wall. Nuovo Cimento 1949, 6(Suppl. 2):297. 10.1007/BF02780993.
    • (1949) Nuovo Cimento , vol.6 , Issue.SUPPL. 2 , pp. 297
    • Kramers, H.A.1
  • 36
    • 0035533256 scopus 로고    scopus 로고
    • A review of the rarefied gas dynamics theory associated with some classical problems in flow heat transfer
    • 10.1007/PL00001558
    • Williams M.M. R. A review of the rarefied gas dynamics theory associated with some classical problems in flow heat transfer. Z. Angew. Math. Phys. 2001, 52:500. 10.1007/PL00001558.
    • (2001) Z. Angew. Math. Phys. , vol.52 , pp. 500
    • Williams, M.M.R.1
  • 37
    • 0000463429 scopus 로고
    • On the temperature jump in a rarefied gas
    • Welander P. On the temperature jump in a rarefied gas. Ark. Fys. 1954, 7:507. .
    • (1954) Ark. Fys. , vol.7 , pp. 507
    • Welander, P.1
  • 38
    • 35248873103 scopus 로고
    • Rayleigh's problem at low Mach numbers according to kinetic theory
    • J. H. de Leeuw, (Academic, New York, ), Vol. of Proceedings of the Fourth International Symposium held at the Institute for Aerospace Studies, Toronto, 1964
    • Cercignani C. Sernagiotto F. Rayleigh's problem at low Mach numbers according to kinetic theory. Rarefied Gas Dynamics 1965, 1:332-353. J. H. de Leeuw, edited by (Academic, New York, ), Vol. of Proceedings of the Fourth International Symposium held at the Institute for Aerospace Studies, Toronto, 1964
    • (1965) Rarefied Gas Dynamics , vol.1 , pp. 332-353
    • Cercignani, C.1    Sernagiotto, F.2
  • 39
    • 0039718198 scopus 로고
    • Velocity profile in the Knudsen layer for the Kramer's problem
    • 10.1063/1.861086
    • Loyalka S. Velocity profile in the Knudsen layer for the Kramer's problem. Phys. Fluids 1975, 18:1666. 10.1063/1.861086.
    • (1975) Phys. Fluids , vol.18 , pp. 1666
    • Loyalka, S.1
  • 40
    • 0000614290 scopus 로고
    • Numerical evaluation of the slip coefficient
    • 10.1063/1.1706857
    • Albertoni S. Cercignani C. Gotusso L. Numerical evaluation of the slip coefficient. Phys. Fluids 1963, 6:993. 10.1063/1.1706857.
    • (1963) Phys. Fluids , vol.6 , pp. 993
    • Albertoni, S.1    Cercignani, C.2    Gotusso, L.3
  • 41
    • 0034187585 scopus 로고    scopus 로고
    • Asymptotic theory of the Boltzmann system, for a steady flow of a slightly rarefied gas with a finite Mach number: General theory
    • 10.1016/S0997-7546(00)00110-2
    • Sone Y. Bardos C. Golse F. Sugimoto H. Asymptotic theory of the Boltzmann system, for a steady flow of a slightly rarefied gas with a finite Mach number: General theory. Eur. J. Mech. B. Fluids 2000, 19:325. 10.1016/S0997-7546(00)00110-2.
    • (2000) Eur. J. Mech. B. Fluids , vol.19 , pp. 325
    • Sone, Y.1    Bardos, C.2    Golse, F.3    Sugimoto, H.4
  • 42
    • 0000656951 scopus 로고
    • Singular non-uniform limits of solutions of the Boltzmann equation
    • (American Mathematical Society, Providence, RI, )
    • Grad H. Singular non-uniform limits of solutions of the Boltzmann equation. SIAM-AMS Proc. 1967, 1:269-308. (American Mathematical Society, Providence, RI, ), Vol. pp.
    • (1967) SIAM-AMS Proc. , vol.1 , pp. 269-308
    • Grad, H.1
  • 43
    • 37649026609 scopus 로고    scopus 로고
    • Velocity boundary condition at solid walls in rarefied gas calculations
    • 10.1103/PhysRevE.70.017303
    • Lockerby D.A. Reese J.M. Emerson D.R. Barber R.W. Velocity boundary condition at solid walls in rarefied gas calculations. Phys. Rev. E 2004, 70:017303. 10.1103/PhysRevE.70.017303.
    • (2004) Phys. Rev. E , vol.70 , pp. 017303
    • Lockerby, D.A.1    Reese, J.M.2    Emerson, D.R.3    Barber, R.W.4
  • 45
    • 84878372798 scopus 로고    scopus 로고
    • Microfluidics: The no-slip boundary condition
    • C. Tropea, A. L. Yarin, J. F. Foss, (Springer, Berlin, Heidelberg, ) ;e-print arXiv:cond-mat/0501557.
    • Lauga E. Brenner M.P. Stone H.A. Microfluidics: The no-slip boundary condition. Springer Handbook of Experimental Fluid Mechanics 2007, 1219-1240. C. Tropea, A. L. Yarin, J. F. Foss, edited by (Springer, Berlin, Heidelberg, ) ;e-print arXiv:cond-mat/0501557.
    • (2007) Springer Handbook of Experimental Fluid Mechanics , pp. 1219-1240
    • Lauga, E.1    Brenner, M.P.2    Stone, H.A.3
  • 47
    • 4243825742 scopus 로고    scopus 로고
    • Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation
    • 10.1103/PhysRevE.56.6811
    • He X. Luo L.-S. Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation. Phys. Rev. E 1997, 56:6811. 10.1103/PhysRevE.56.6811.
    • (1997) Phys. Rev. E , vol.56 , pp. 6811
    • He, X.1    Luo, L.-S.2
  • 48
    • 0002945795 scopus 로고    scopus 로고
    • Discretization of the velocity space in the solution of the Boltzmann equation
    • 10.1103/PhysRevLett.80.65
    • Shan X. He X. Discretization of the velocity space in the solution of the Boltzmann equation. Phys. Rev. Lett. 1998, 80:65. 10.1103/PhysRevLett.80.65.
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 65
    • Shan, X.1    He, X.2
  • 49
    • 0029138604 scopus 로고
    • A consistent hydrodynamic boundary condition for the lattice Boltzmann method
    • 10.1063/1.868767
    • Noble D.R. Chen S. Georgiadis J.H. Buckius R.O. A consistent hydrodynamic boundary condition for the lattice Boltzmann method. Phys. Fluids 1995, 7:203. 10.1063/1.868767.
    • (1995) Phys. Fluids , vol.7 , pp. 203
    • Noble, D.R.1    Chen, S.2    Georgiadis, J.H.3    Buckius, R.O.4
  • 50
    • 0035443378 scopus 로고    scopus 로고
    • Bulk shear viscosities in lattice Boltzmann equations
    • 10.1103/PhysRevE.64.031203
    • Dellar P.J. Bulk shear viscosities in lattice Boltzmann equations. Phys. Rev. E 2001, 64:031203. 10.1103/PhysRevE.64.031203.
    • (2001) Phys. Rev. E , vol.64 , pp. 031203
    • Dellar, P.J.1
  • 51
    • 11544343875 scopus 로고    scopus 로고
    • Discrete Boltzmann equation model for nonideal gases
    • 10.1103/PhysRevE.57.R13
    • He X. Shan X. Doolen G.D. Discrete Boltzmann equation model for nonideal gases. Phys. Rev. E 1998, 57:R13. 10.1103/PhysRevE.57.R13.
    • (1998) Phys. Rev. E , vol.57
    • He, X.1    Shan, X.2    Doolen, G.D.3
  • 52
    • 0001518684 scopus 로고
    • On the construction comparison of difference schemes
    • 10.1137/0705041
    • Strang G. On the construction comparison of difference schemes. SIAM J. Numer. Anal. 1968, 5:506. 10.1137/0705041.
    • (1968) SIAM J. Numer. Anal. , vol.5 , pp. 506
    • Strang, G.1
  • 53
    • 84872109097 scopus 로고    scopus 로고
    • An interpretation derivation of the lattice Boltzmann method using Strang splitting
    • 10.1016/j.camwa.2011.08.047 (published online ).
    • Dellar P.J. An interpretation derivation of the lattice Boltzmann method using Strang splitting. Comput. Math. Appl. 2011, 10.1016/j.camwa.2011.08.047, "," (published online ).
    • (2011) Comput. Math. Appl.
    • Dellar, P.J.1
  • 54
    • 67650567568 scopus 로고    scopus 로고
    • Viscosity independent numerical errors for Lattice Boltzmann models: From recurrence equations to 'magic' collision numbers
    • 10.1016/j.camwa.2009.02.008
    • d'Humières D. Ginzburg I. Viscosity independent numerical errors for Lattice Boltzmann models: From recurrence equations to 'magic' collision numbers. Comput. Math. Appl. 2009, 58:823. 10.1016/j.camwa.2009.02.008.
    • (2009) Comput. Math. Appl. , vol.58 , pp. 823
    • d'Humières, D.1    Ginzburg, I.2
  • 55
    • 41749110917 scopus 로고    scopus 로고
    • Study of simple hydrodynamic solutions with the two-relaxation-times lattice Boltzmann scheme
    • Ginzburg I. Verhaeghe F. d'Humières D. Study of simple hydrodynamic solutions with the two-relaxation-times lattice Boltzmann scheme. Comm. Comp. Phys. 2008, 3:519. .
    • (2008) Comm. Comp. Phys. , vol.3 , pp. 519
    • Ginzburg, I.1    Verhaeghe, F.2    d'Humières, D.3
  • 57
    • 0042156824 scopus 로고    scopus 로고
    • Statistical simulation of rarefied gas flows in micro-channels
    • 10.1016/S0021-9991(03)00231-6
    • Shen C. Fan J. Xie C. Statistical simulation of rarefied gas flows in micro-channels. J. Comput. Phys. 2003, 189:512. 10.1016/S0021-9991(03)00231-6.
    • (2003) J. Comput. Phys. , vol.189 , pp. 512
    • Shen, C.1    Fan, J.2    Xie, C.3
  • 58
    • 0033239234 scopus 로고    scopus 로고
    • A model for flows in channels, pipes, ducts at micro nano scales
    • 10.1080/108939599199864
    • Beskok A. Karniadakis G.E. A model for flows in channels, pipes, ducts at micro nano scales. Microscale Thermophys. Eng. 1999, 3:43. 10.1080/108939599199864.
    • (1999) Microscale Thermophys. Eng. , vol.3 , pp. 43
    • Beskok, A.1    Karniadakis, G.E.2
  • 59
    • 0028431303 scopus 로고
    • Unique determination of solutions to the Burnett equations
    • 10.2514/3.12084
    • Lee C.J. Unique determination of solutions to the Burnett equations. AIAA J. 1994, 32:985. 10.2514/3.12084.
    • (1994) AIAA J. , vol.32 , pp. 985
    • Lee, C.J.1
  • 60
    • 0011781051 scopus 로고    scopus 로고
    • Burnett simulations of flows in microdevices
    • M. G. el Hak, (CRC, Boca Raton, ), Chap. 7.
    • Agarwal R.K. Yun K.-Y. Burnett simulations of flows in microdevices. The MEMS Handbook 2002, M. G. el Hak, edited by (CRC, Boca Raton, ), Chap. 7.
    • (2002) The MEMS Handbook
    • Agarwal, R.K.1    Yun, K.-Y.2
  • 61
    • 0035477840 scopus 로고    scopus 로고
    • Beyond Navier-Stokes: Burnett equations for flows in the continuum-transition regime
    • 10.1063/1.1397256
    • Agarwal K.R. Yun K.-Y. Balakrishnan R. Beyond Navier-Stokes: Burnett equations for flows in the continuum-transition regime. Phys. Fluids 2001, 13:3061. 10.1063/1.1397256.
    • (2001) Phys. Fluids , vol.13 , pp. 3061
    • Agarwal, K.R.1    Yun, K.-Y.2    Balakrishnan, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.