AN APPLICATION OF THE CHEBYSHEV POLYNOMIALS FOR THE CALCULATION OF A RAREFIED GAS FLOW IN THE CYLINDRICAL GEOMETRY OF THE CHANNELS

被引：2
|
作者：
Germider, O., V [1 ]
Popov, V. N. [1 ]
机构：
[1] Northern Arctic Fed Univ, 4 Severnaya Dvina Emb, Arkhangelsk 163002, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2019年 / 16卷
关键词：
BGK model kinetic equation; model of diffuse reflection; Chebyshev polynomials; RECTANGULAR CHANNEL; POISEUILLE;
D O I：
10.33048/semi.2019.16.140
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A rarefied gas flow trough a long circular tube due to pressure and temperature gradients is studied on the basis of the BGK model kinetic equation using a collocation method by the Chebyshev polynomials and rational Chebyshev functions in the whole range of the Knudsen number covering both free molecular regime and hydrodynamic one. The mass flux is calculated as a function of the pressures and temperatures on the tube ends.
引用
收藏
页码：1947 / 1959
页数：13
相关论文
共 50 条
  • [1] CYLINDRICAL POISEUILLE FLOW OF A RAREFIED GAS
    CERCIGNANI, C
    SERNAGIOTTO, F
    PHYSICS OF FLUIDS, 1966, 9 (01) : 40 - +
  • [2] CYLINDRICAL COUETTE FLOW OF A RAREFIED GAS
    CERCIGNANI, C
    SERNAGIOTTO, F
    PHYSICS OF FLUIDS, 1967, 10 (06) : 1200 - +
  • [3] COMMENTS ON CYLINDRICAL POISEUILLE FLOW OF A RAREFIED GAS
    BERMAN, AS
    CERCIGNA.C
    PHYSICS OF FLUIDS, 1967, 10 (08) : 1858 - &
  • [4] RAREFIED-GAS FLOW IN A CYLINDRICAL ANNULUS
    LO, SS
    LOYALKA, SK
    STORVICK, TS
    JOURNAL OF VACUUM SCIENCE & TECHNOLOGY A-VACUUM SURFACES AND FILMS, 1983, 1 (03): : 1539 - 1548
  • [5] Linear stability of the cylindrical Couette flow of a rarefied gas
    Yoshida, H
    Aoki, K
    PHYSICAL REVIEW E, 2006, 73 (02):
  • [6] Modeling and Applications of the Cylindrical Couette Flow of a Rarefied Gas
    Dankov, D.
    Roussinov, V.
    APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS '34, 2008, 1067 : 239 - 243
  • [7] Thermoacoustic Waves in a Cylindrical Couette Rarefied Gas Flow
    Gospodinov, P.
    Roussinov, V.
    Dankov, D.
    APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES (AMITANS '14), 2014, 1629 : 296 - 302
  • [8] Extended application of lattice Boltzmann method to rarefied gas flow in micro-channels
    Yuan, Yudong
    Rahman, Sheik
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2016, 463 : 25 - 36
  • [9] Rarefied gas flow through nanoscale tungsten channels
    Ozhgibesov, M. S.
    Leu, T. S.
    Cheng, C. H.
    JOURNAL OF MOLECULAR GRAPHICS & MODELLING, 2013, 42 : 32 - 38
  • [10] THERMAL CREEP FLOW OF RAREFIED GAS THROUGH A CYLINDRICAL TUBE
    NIIMI, H
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1968, 24 (01) : 225 - &
12345