메뉴 건너뛰기




Volumn 18, Issue 1, 2006, Pages

Normal solutions of the Boltzmann equation for highly nonequilibrium Fourier flow and Couette flow

Author keywords

Boltzmann equation; Couette flow; Flow simulation; Heat transfer; Knudsen flow; Monte Carlo methods; Nonequilibrium flow; Shear flow; Thermal conductivity; Viscosity

Indexed keywords

COMPUTER SIMULATION; EQUATIONS OF STATE OF GASES; HEAT FLUX; HEAT TRANSFER; MONTE CARLO METHODS; SHEAR FLOW; SHEAR STRESS; THERMAL CONDUCTIVITY OF GASES; VISCOSITY;

EID: 33645671246     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2166449     Document Type: Article
Times cited : (61)

References (19)
  • 2
    • 0002311390 scopus 로고
    • "On the pressures and the flux of energy in a gas according to Maxwell's kinetic theory"
    • 9p9 IUMJAB 0022-2518
    • E. Ikenberry and C. Truesdell, "On the pressures and the flux of energy in a gas according to Maxwell's kinetic theory," Indiana Univ. Math. J. 5, 1 (1956). 9p9 IUMJAB 0022-2518
    • (1956) Indiana Univ. Math. J. , vol.5 , pp. 1
    • Ikenberry, E.1    Truesdell, C.2
  • 3
    • 0040276458 scopus 로고
    • "Heat transfer between parallel plates in a gas of Maxwellian molecules"
    • sph SPHDA9 0038-5689
    • E. Asmolov, N. K. Makashev, and V. I. Nosik, "Heat transfer between parallel plates in a gas of Maxwellian molecules" Sov. Phys. Dokl. 24, 892 (1979). sph SPHDA9 0038-5689
    • (1979) Sov. Phys. Dokl. , vol.24 , pp. 892
    • Asmolov, E.1    Makashev, N.K.2    Nosik, V.I.3
  • 4
    • 33645661067 scopus 로고
    • "Steady Couette flow (with heat transfer) of a gas of Maxwellian molecules"
    • sph SPHDA9 0038-5689
    • N. K. Makashev and V. I. Nosik, "Steady Couette flow (with heat transfer) of a gas of Maxwellian molecules" Sov. Phys. Dokl. 25, 589 (1981). sph SPHDA9 0038-5689
    • (1981) Sov. Phys. Dokl. , vol.25 , pp. 589
    • Makashev, N.K.1    Nosik, V.I.2
  • 5
    • 0002192572 scopus 로고
    • "Exact non-linear transport from the Boltzmann equation"
    • edited by J. Harvey and G. Lord (Oxford University Press, Oxford)
    • A. Santos and V. Garzó "Exact non-linear transport from the Boltzmann equation" in Rarefied Gas Dynamics: 19th International Symposium, edited by J. Harvey and G. Lord (Oxford University Press, Oxford, 1995), pp. 13-22.
    • (1995) Rarefied Gas Dynamics: 19th International Symposium , pp. 13-22
    • Santos, A.1    Garzó, V.2
  • 6
    • 0029140370 scopus 로고
    • "Combined heat and momentum transport in a dilute gas"
    • phf PHFLE6 1070-6631 10.1063/1.868662
    • M. Tij and A. Santos, "Combined heat and momentum transport in a dilute gas," Phys. Fluids 7, 2858 (1995). phf PHFLE6 1070-6631 10.1063/1.868662
    • (1995) Phys. Fluids , vol.7 , pp. 2858
    • Tij, M.1    Santos, A.2
  • 8
    • 0037111083 scopus 로고    scopus 로고
    • "Calculation algorithm for the collisional moments of the Boltzmann equation for Maxwell molecules"
    • cpm CPHCBZ 0010-4655
    • M. Sabbane and M. Tij, "Calculation algorithm for the collisional moments of the Boltzmann equation for Maxwell molecules" Comput. Phys. Commun. 142, 19 (2002). cpm CPHCBZ 0010-4655
    • (2002) Comput. Phys. Commun. , vol.142 , pp. 19
    • Sabbane, M.1    Tij, M.2
  • 9
    • 0001668222 scopus 로고
    • "Heat and momentum transport far from equilibrium"
    • pra PLRAAN 1050-2947 10.1103/PhysRevA.36.2842
    • J. J. Brey, A. Santos, and J. W. Dufty, "Heat and momentum transport far from equilibrium" Phys. Rev. A 36, 2842 (1987). pra PLRAAN 1050-2947 10.1103/PhysRevA.36.2842
    • (1987) Phys. Rev. A , vol.36 , pp. 2842
    • Brey, J.J.1    Santos, A.2    Dufty, J.W.3
  • 10
    • 0002353018 scopus 로고
    • "Velocity distribution for a gas with steady heat flow"
    • pra PLRAAN 1050-2947 10.1103/PhysRevA.39.320
    • A. Santos, J. J. Brey, C. S. Kim, and J. W. Dufty, "Velocity distribution for a gas with steady heat flow" Phys. Rev. A 39, 320 (1989). pra PLRAAN 1050-2947 10.1103/PhysRevA.39.320
    • (1989) Phys. Rev. A , vol.39 , pp. 320
    • Santos, A.1    Brey, J.J.2    Kim, C.S.3    Dufty, J.W.4
  • 12
    • 34249834360 scopus 로고
    • "A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation"
    • jst JSTPBS 0022-4715 10.1007/BF01055714
    • W. Wagner, "A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation" J. Stat. Phys. 66, 1011 (1992). jst JSTPBS 0022-4715 10.1007/BF01055714
    • (1992) J. Stat. Phys. , vol.66 , pp. 1011
    • Wagner, W.1
  • 13
    • 0000634633 scopus 로고
    • "Monte Carlo simulation of the Boltzmann equation for steady Fourier flow"
    • pre PLEEE8 1063-651X 10.1103/PhysRevE.49.367
    • J. M. Montanero, M. Alaoui, A. Santos, and V. Garzó, "Monte Carlo simulation of the Boltzmann equation for steady Fourier flow" Phys. Rev. E 49, 367 (1994). pre PLEEE8 1063-651X 10.1103/PhysRevE.49.367
    • (1994) Phys. Rev. E , vol.49 , pp. 367
    • Montanero, J.M.1    Alaoui, M.2    Santos, A.3    Garzó, V.4
  • 14
    • 0034326957 scopus 로고    scopus 로고
    • "Monte Carlo simulation of nonlinear Couette flow in a dilute gas"
    • phf PHFLE6 1070-6631 10.1063/1.1313563
    • J. M. Montanero, A. Santos, and V. Garzó, "Monte Carlo simulation of nonlinear Couette flow in a dilute gas" Phys. Fluids 12, 3060 (2000). phf PHFLE6 1070-6631 10.1063/1.1313563
    • (2000) Phys. Fluids , vol.12 , pp. 3060
    • Montanero, J.M.1    Santos, A.2    Garzó, V.3
  • 15
    • 37649032760 scopus 로고    scopus 로고
    • " Molecular gas dynamics observations of Chapman-Enskog behavior and departures therefrom in nonequilibrium gases"
    • pre PLEEE8 1063-651X 10.1103/PhysRevE.69.042201
    • M. A. Gallis, J. R. Torczynski, and D. J. Rader, " Molecular gas dynamics observations of Chapman-Enskog behavior and departures therefrom in nonequilibrium gases" Phys. Rev. E 69, 042201 (2004). pre PLEEE8 1063-651X 10.1103/PhysRevE.69.042201
    • (2004) Phys. Rev. E , vol.69 , pp. 042201
    • Gallis, M.A.1    Torczynski, J.R.2    Rader, D.J.3
  • 16
  • 17
    • 33749012307 scopus 로고    scopus 로고
    • "DSMC simulations of Fourier and Couette flow: Chapman-Enskog behavior and departures therefrom"
    • edited by M. Capitelli (American Institute of Physics, Melville, NY
    • J. R. Torczynski, M. A. Gallis, and D. J. Rader, "DSMC simulations of Fourier and Couette flow: Chapman-Enskog behavior and departures therefrom" in Rarefied Gas Dynamics: 24th International Symposium, edited by M. Capitelli (American Institute of Physics, Melville, NY, 2005), pp. 620-625.
    • (2005) Rarefied Gas Dynamics: 24th International Symposium , pp. 620-625
    • Torczynski, J.R.1    Gallis, M.A.2    Rader, D.J.3
  • 18
    • 25544431786 scopus 로고
    • "Variable soft sphere molecular model for air species"
    • pfa PFADEB 0899-8213 10.1063/1.858262
    • K. Koura and H. Matsumoto, "Variable soft sphere molecular model for air species" Phys. Fluids A 4, 1083 (1992). pfa PFADEB 0899-8213 10.1063/1.858262
    • (1992) Phys. Fluids A , vol.4 , pp. 1083
    • Koura, K.1    Matsumoto, H.2
  • 19
    • 0000503249 scopus 로고
    • "Some extensions to the Cercignani-Lampis gas-surface scattering kernel"
    • pfa PFADEB 0899-8213 10.1063/1.858076
    • R. G. Lord, "Some extensions to the Cercignani-Lampis gas-surface scattering kernel" Phys. Fluids A 3, 706 (1991). pfa PFADEB 0899-8213 10.1063/1.858076
    • (1991) Phys. Fluids A , vol.3 , pp. 706
    • Lord, R.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.