메뉴 건너뛰기




Volumn 28, Issue 2, 2009, Pages 211-213

The velocity slip problem: Accurate solutions of the BGK model integral equation

Author keywords

Abramowitz functions; BGK model integral equation; Fredholm integral equation; Gauss Kronrod quadratures; Kinetic theory of gases; Kramer's problem; Rarefied gas dynamics; Singularity subtraction technique; Velocity slip coefficient

Indexed keywords

DYNAMICS; FUNCTIONS; GAS DYNAMICS; GAS MIXTURES; GASES; INTEGRAL EQUATIONS; KINETIC THEORY; KINETIC THEORY OF GASES; PROBABILITY DENSITY FUNCTION; PROGRAMMING THEORY; STATISTICAL MECHANICS; VARIATIONAL TECHNIQUES; VELOCITY;

EID: 58649121920     PISSN: 09977546     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechflu.2008.08.001     Document Type: Article
Times cited : (10)

References (25)
  • 6
    • 0039718198 scopus 로고
    • Velocity profile in the Knudsen layer for the Kramer's problem
    • Loyalka S.K. Velocity profile in the Knudsen layer for the Kramer's problem. Phys. Fluids 18 (1975) 1666
    • (1975) Phys. Fluids , vol.18 , pp. 1666
    • Loyalka, S.K.1
  • 8
    • 0002877222 scopus 로고
    • Fn and Qn integrals for the BGK model
    • Loyalka S.K. Fn and Qn integrals for the BGK model. J. Trans. Th. Stat. Phys. 4 2 (1975) 55
    • (1975) J. Trans. Th. Stat. Phys. , vol.4 , Issue.2 , pp. 55
    • Loyalka, S.K.1
  • 9
    • 36749111744 scopus 로고
    • Strong evaporation in half spaces: Integral transport solutions for 1-D BGK model
    • Loyalka S.K. Strong evaporation in half spaces: Integral transport solutions for 1-D BGK model. Phys. Fluids 24 (1982) 2154
    • (1982) Phys. Fluids , vol.24 , pp. 2154
    • Loyalka, S.K.1
  • 10
    • 36849102744 scopus 로고
    • Flow of a rarefied gas past an axi-symmetric body. II. Case of a sphere
    • Bassanini P., Cercignani C., and Pagani C.D. Flow of a rarefied gas past an axi-symmetric body. II. Case of a sphere. Phys. Fluids 11 (1968) 1399-1403
    • (1968) Phys. Fluids , vol.11 , pp. 1399-1403
    • Bassanini, P.1    Cercignani, C.2    Pagani, C.D.3
  • 11
    • 20744450070 scopus 로고    scopus 로고
    • Plane Poiseuille flow with symmetric and nonsymmetric gas-wall interactions
    • Cercignani C., Lampis M., and Lorenzani S. Plane Poiseuille flow with symmetric and nonsymmetric gas-wall interactions. J. Trans. Th. Stat. Phys. 33 5-7 (2004) 545-561
    • (2004) J. Trans. Th. Stat. Phys. , vol.33 , Issue.5-7 , pp. 545-561
    • Cercignani, C.1    Lampis, M.2    Lorenzani, S.3
  • 12
    • 33748255053 scopus 로고    scopus 로고
    • Plane Poiseuille-Couette problem in micro-electro-mechanical systems applications with gas-rarefaction effects
    • Cercignani C., Lampis M., and Lorenzani S. Plane Poiseuille-Couette problem in micro-electro-mechanical systems applications with gas-rarefaction effects. Phys. Fluids 18 8 (2006) 087102
    • (2006) Phys. Fluids , vol.18 , Issue.8 , pp. 087102
    • Cercignani, C.1    Lampis, M.2    Lorenzani, S.3
  • 14
    • 36849111752 scopus 로고
    • Condensation on a spherical droplet
    • Loyalka S.K. Condensation on a spherical droplet. J. Chem. Phys. 58 (1973) 354
    • (1973) J. Chem. Phys. , vol.58 , pp. 354
    • Loyalka, S.K.1
  • 15
    • 0008078938 scopus 로고
    • On the motion of a sphere in a rarefied gas
    • Lea K.C., and Loyalka S.K. On the motion of a sphere in a rarefied gas. Phys. Fluids 25 (1982) 1550
    • (1982) Phys. Fluids , vol.25 , pp. 1550
    • Lea, K.C.1    Loyalka, S.K.2
  • 16
    • 33645751336 scopus 로고    scopus 로고
    • Flow of gaseous mixtures through rectangular microchannels driven by pressure, temperature, and concentration gradients
    • Naris S., Valougeorgis D., Kalempa D., and Sharipov F. Flow of gaseous mixtures through rectangular microchannels driven by pressure, temperature, and concentration gradients. Phys. Fluids 17 (2005) 100607
    • (2005) Phys. Fluids , vol.17 , pp. 100607
    • Naris, S.1    Valougeorgis, D.2    Kalempa, D.3    Sharipov, F.4
  • 17
    • 0036962802 scopus 로고    scopus 로고
    • Model equations in rarefied gas dynamics: Viscous-slip and thermal-slip coefficients
    • Siewert C.E., and Sharipov F. Model equations in rarefied gas dynamics: Viscous-slip and thermal-slip coefficients. Phys. Fluids 14 12 (2002) 4123-4129
    • (2002) Phys. Fluids , vol.14 , Issue.12 , pp. 4123-4129
    • Siewert, C.E.1    Sharipov, F.2
  • 18
    • 0000463429 scopus 로고
    • The temperature jump in a rarefied gas
    • Welander P. The temperature jump in a rarefied gas. Arkiv foer Fysik 7 (1954) 507-553
    • (1954) Arkiv foer Fysik , vol.7 , pp. 507-553
    • Welander, P.1
  • 19
    • 0001224458 scopus 로고
    • Thermophoresis of a spherical particle in a rarefied gas of a transition regime
    • Yamamoto K., and Ishihara Y. Thermophoresis of a spherical particle in a rarefied gas of a transition regime. Phys. Fluids 31 (1988) 3618-3624
    • (1988) Phys. Fluids , vol.31 , pp. 3618-3624
    • Yamamoto, K.1    Ishihara, Y.2
  • 20
    • 0036143854 scopus 로고    scopus 로고
    • The temperature-jump problem for a variable collision frequency model
    • Barichello L.B., Bartz A.C.R., Camargo M., and Siewert C.E. The temperature-jump problem for a variable collision frequency model. Phys. Fluids 14 1 (2002) 382-391
    • (2002) Phys. Fluids , vol.14 , Issue.1 , pp. 382-391
    • Barichello, L.B.1    Bartz, A.C.R.2    Camargo, M.3    Siewert, C.E.4
  • 22
    • 58649123285 scopus 로고    scopus 로고
    • From MathWorld-A Wolfram Web Resource
    • Weisstein E.W. Gauss-Kronrod quadrature. From MathWorld-A Wolfram Web Resource. http://mathworld.wolfram.com/Gauss-KronrodQuadrature.html
    • Gauss-Kronrod quadrature
    • Weisstein, E.W.1
  • 23
    • 84870625147 scopus 로고    scopus 로고
    • From MathWorld-A Wolfram Web Resource
    • Weisstein E.W. Meijer G-function. From MathWorld-A Wolfram Web Resource. http://mathworld.wolfram.com/MeijerG-Function.html
    • Meijer G-function
    • Weisstein, E.W.1
  • 24
    • 0004245694 scopus 로고
    • Abramowitz M., and Stegun I.A. (Eds), National Bureau of Standards, USA
    • In: Abramowitz M., and Stegun I.A. (Eds). Handbook of Mathematical Functions (1964), National Bureau of Standards, USA
    • (1964) Handbook of Mathematical Functions
  • 25
    • 58649117926 scopus 로고
    • Dover, New York 1972
    • (1965), Dover, New York 1972
    • (1965)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.