메뉴 건너뛰기




Volumn 13, Issue 9, 2001, Pages 2645-2661

A rarefied gas flow caused by a discontinuous wall temperature

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CONTAINERS; FINITE DIFFERENCE METHOD; GASES; KINETIC THEORY; THERMAL EFFECTS; WALLS (STRUCTURAL PARTITIONS);

EID: 0035449845     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1389283     Document Type: Article
Times cited : (52)

References (60)
  • 5
    • 0001075746 scopus 로고
    • Numerical analysis of the shear and thermal creep flows of a rarefied gas over a plane wall on the basis of the linearized Boltzmann equation for hard-sphere molecules
    • (1989) Phys. Fluids A , vol.1 , pp. 1588
    • Ohwada, T.1    Sone, Y.2    Aoki, K.3
  • 6
    • 0000112346 scopus 로고
    • A simple demonstration of a rarefied gas flow induced over a plane wall with a temperature gradient
    • (1991) Phys. Fluids A , vol.3 , pp. 997
    • Sone, Y.1
  • 8
  • 9
    • 85069346992 scopus 로고
    • Rarefied gas flow induced between non-parallel plane walls with different temperatures
    • edited by M. Becker and M. Fiebig (DFVLR, Porz-Wahn, Germany) D.23-1
    • (1974) Rarefied Gas Dynamics
    • Sone, Y.1
  • 14
    • 0001515859 scopus 로고
    • Numerical analysis of a flow induced in a rarefied gas between noncoaxial circular cylinders with different temperatures for the entire range of the Knudsen number
    • (1989) Phys. Fluids A , vol.1 , pp. 409
    • Aoki, K.1    Sone, Y.2    Yano, T.3
  • 15
    • 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
    • (1989) Phys. Fluids A , vol.1 , pp. 2042
    • Ohwada, T.1    Sone, Y.2    Aoki, K.3
  • 16
    • 0029178681 scopus 로고
    • Flow induced around a sphere with a nonuniform surface temperature in a rarefied gas, with application to the drag and thermal force problems of a spherical particle with an arbitrary thermal conductivity
    • (1995) Eur. J. Mech. B/Fluids , vol.14 , pp. 487
    • Takata, S.1    Sone, Y.2
  • 19
    • 0002868752 scopus 로고    scopus 로고
    • Natural convection and thermal creep flow induced along a vertical plate with a temperature gradient
    • edited by C. Shen (Peking University Press, Beijing)
    • (1997) Rarefied Gas Dynamics , pp. 107
    • Takata, S.1    Ohtsubo, N.2
  • 21
    • 0031633321 scopus 로고    scopus 로고
    • A rarefied gas flow induced by a temperature field: Numerical analysis of the flow between coaxial elliptic cylinders with different uniform temperatures
    • (1998) Comput. Math. Appl , vol.35 , pp. 15
    • Aoki, K.1    Sone, Y.2    Waniguchi, Y.3
  • 22
    • 0034353771 scopus 로고    scopus 로고
    • Flows induced by temperature fields in a rarefied gas and their ghost effect on the behavior of a gas in the continuum limit
    • Annual Reviews, Palo Alto
    • (2000) Annual Review of Fluid Mechanics , vol.32 , pp. 779
    • Sone, Y.1
  • 23
    • 0001243491 scopus 로고
    • Asymptotic theory of flow of rarefied gas over a smooth boundary I
    • edited by L. Trilling and H. Y. Wachman (Academic, New York)
    • (1969) Rarefied Gas Dynamics , pp. 243
    • Sone, Y.1
  • 24
    • 0001339589 scopus 로고
    • Asymptotic theory of flow of rarefied gas over a smooth boundary II
    • edited by D. Dini (Editrice Tecnico Scientifica, Pisa, Italy)
    • (1971) Rarefied Gas Dynamics , vol.2 , pp. 737
    • Sone, Y.1
  • 26
    • 0029671666 scopus 로고    scopus 로고
    • Inappropriateness of the heat-conduction equation for description of a temperature field of a stationary gas in the continuum limit: Examination by asymptotic analysis and numerical computation of the Boltzmann equation
    • 8, 841(E) (1996)
    • (1996) Phys. Fluids , vol.8 , pp. 628
    • Sone, Y.1    Aoki, K.2    Takata, S.3    Sugimoto, H.4    Bobylev, A.V.5
  • 29
    • 0003800865 scopus 로고    scopus 로고
    • Theoretical and numerical analyses of the Boltzmann equation-Theory and analysis of rarefied gas flows-
    • Department of Aeronautics and Astronautics, Graduate School of Engineering, Kyoto University
    • (1998) Lecture Notes , Issue.PART 1
    • Sone, Y.1
  • 35
    • 0003762165 scopus 로고    scopus 로고
    • Some of the results were presented at the Edinburgh, Scotland, July 5-9, (K. Aoki, Y. Sone, K. Ueda, and S. Takata, "Numerical analysis of a rarefied gas flow induced near the edges of a uniformly cooled or heated Abstracts, p. 155); see also K. Ueda, Master's thesis, Department of Aeronautics and Astronautics, Graduate School of Engineering, Kyoto University, 1999 (in Japanese)
    • (1999) Fourth International Congress on Industrial and Applied Mathematics
  • 39
    • 0002682357 scopus 로고    scopus 로고
    • Continuum gas dynamics in the light of kinetic theory and new features of rarefied gas flows
    • edited by C. Shen (Peking University Press, Beijing)
    • (1997) Rarefied Gas Dynamics , pp. 3
    • Sone, Y.1
  • 40
    • 0030437634 scopus 로고    scopus 로고
    • The behavior of a gas in the continuum limit in the light of kinetic theory: The case of cylindrical Couette flows with evaporation and condensation
    • 10 1239(E) (1998)
    • (1996) Phys. Fluids , vol.8 , pp. 3403
    • Sone, Y.1    Takata, S.2    Sugimoto, H.3
  • 41
    • 0003905335 scopus 로고    scopus 로고
    • Two-surface problems of a multicomponent mixture of vapors and noncondensable gases in the continuum limit in the light of kinetic theory
    • (1999) Phys. Fluids , vol.11 , pp. 2743
    • Takata, S.1    Aoki, K.2
  • 42
    • 0000929961 scopus 로고    scopus 로고
    • Behavior of a vapor-gas mixture between two parallel plane condensed phases in the continuum limit
    • edited by R. Brun, R. Campargue, R. Gatignol, and J.-C. Lengrand (Cépaduès-Éditions, Toulouse)
    • (1999) Rarefied Gas Dynamics , vol.1 , pp. 479
    • Takata, S.1    Aoki, K.2    Muraki, T.3
  • 43
  • 46
    • 0002854033 scopus 로고
    • Kinetic-theoretic description of the formation of a shock wave
    • (1965) Phys. Fluids , vol.8 , pp. 12
    • Chu, C.K.1
  • 47
    • 84963164029 scopus 로고
    • Discontinuity of the velocity distribution function in a rarefied gas around a convex body and the Slayer at the bottom of the Knudsen layer
    • (1992) Transp. Theory Stat. Phys , vol.21 , pp. 501
    • Sone, Y.1    Takata, S.2
  • 48
    • 0001115368 scopus 로고
    • New kind of boundary layer over a convex solid boundary in a rarefied gas
    • (1973) Phys. Fluids , vol.16 , pp. 1422
    • Sone, Y.1
  • 53
    • 0003903371 scopus 로고    scopus 로고
    • It is possible that the gain term of the collision integral of the Boltzmann equation regularizes the singularity in the velocity distribution function less quickly than that of the BGK model does. Boltzmann equation, there might exist a term with intermediate regularity between the discontinuous term propagated from the boundary and the continuous term. Such a term, however, would be impossible to be We need a further mathematical study to clarify this point
  • 55
    • 0003902672 scopus 로고
    • Numerical analysis of unsteady motion of a rarefied gas caused by sudden changes of wall temperature with special interest in the propagation of a discontinuity in the velocity distribution function
    • edited by A. E. Beylich (VCH, Weinheim)
    • (1991) Rarefied Gas Dynamics , pp. 222
    • Aoki, K.1    Sone, Y.2    Nishino, K.3    Sugimoto, H.4
  • 56
    • 0026798539 scopus 로고
    • Numerical analysis of steady flows of a gas evaporating from its cylindrical condensed phase on the basis of kinetic theory
    • (1992) Phys. Fluids A , vol.4 , pp. 419
    • Sugimoto, H.1    Sone, Y.2
  • 57
    • 0027508828 scopus 로고
    • Numerical analysis of a uniform flow of a rarefied gas past a sphere on the basis of the Boltzmann equation for hard-sphere molecules
    • (1993) Phys. Fluids A , vol.5 , pp. 716
    • Takata, S.1    Sone, Y.2    Aoki, K.3
  • 59
    • 0021312153 scopus 로고
    • Highly rarefied gas around a group of bodies with various temperature distributions. I. Small temperature variation
    • (1984) J. Mec. Theor. Appl , vol.3 , pp. 315
    • Sone, Y.1
  • 60
    • 0021661558 scopus 로고
    • Highly rarefied gas around a group of bodies with various temperature distributions. II. Arbitrary temperature variation
    • (1985) J. Mec. Theor. Appl , vol.4 , pp. 1
    • Sone, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.