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Volumn 66, Issue 6, 2006, Pages 2149-2186

On the temperature-jump problem in rarefied gas dynamics: The effect of the cercignani-lampis boundary condition

Author keywords

Binary gas mixture; Cercignani Lampis kernel; Discrete ordinates; Rarefied gas dynamics; Temperature jump coefficient

Indexed keywords

BINARY MIXTURES; BOUNDARY CONDITIONS; LINEAR EQUATIONS;

EID: 33845518313     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/050643209     Document Type: Article
Times cited : (11)

References (50)
  • 1
    • 1542786313 scopus 로고    scopus 로고
    • Micro-electro-mechanical systems (MEMS) and fluid flows
    • C. HO AND Y. TAI, Micro-electro-mechanical systems (MEMS) and fluid flows, Annu. Rev. Fluid Mech., 30 (1998), pp. 579-612.
    • (1998) Annu. Rev. Fluid Mech. , vol.30 , pp. 579-612
    • Ho, C.1    Tai, Y.2
  • 8
    • 0000463429 scopus 로고
    • On the temperature jump in a rarefied gas
    • P. WELANDER, On the temperature jump in a rarefied gas, Arkiv Fysik, 7 (1954), pp. 507-553.
    • (1954) Arkiv Fysik , vol.7 , pp. 507-553
    • Welander, P.1
  • 10
    • 0035533256 scopus 로고    scopus 로고
    • A review of the rarefied gas dynamics theory associated with some classical problems in flow and heat transfer
    • M. M. R. WILLIAMS, A review of the rarefied gas dynamics theory associated with some classical problems in flow and heat transfer, Z. Angew. Math. Phys., 52 (2001), pp. 500-516.
    • (2001) Z. Angew. Math. Phys. , vol.52 , pp. 500-516
    • Williams, M.M.R.1
  • 13
    • 0039718208 scopus 로고
    • Slip coefficients for general gas-surface interaction
    • T. KLINC AND I. KUŠČER, Slip coefficients for general gas-surface interaction, Phys. Fluids, 15 (1972), pp. 1018-1022.
    • (1972) Phys. Fluids , vol.15 , pp. 1018-1022
    • Klinc, T.1    Kuščer, I.2
  • 14
    • 0000503249 scopus 로고
    • Some extensions of the Cercignani-Lampis gas-surface scattering kernel
    • R. LORD, Some extensions of the Cercignani-Lampis gas-surface scattering kernel, Phys. Fluids A, 3 (1991), pp. 706-710.
    • (1991) Phys. Fluids A , vol.3 , pp. 706-710
    • Lord, R.1
  • 15
    • 34250475794 scopus 로고
    • Generalization of the Krook kinetic relaxation equation
    • in Russian
    • E. M. SHAKHOV, Generalization of the Krook kinetic relaxation equation, Fluid Dynam., 3 (1968), pp. 142-145 (in Russian).
    • (1968) Fluid Dynam. , vol.3 , pp. 142-145
    • Shakhov, E.M.1
  • 16
    • 0001390981 scopus 로고
    • Construction of linearized kinetic models for gaseous mixtures and molecular gases
    • F. J. MCCORMACK, Construction of linearized kinetic models for gaseous mixtures and molecular gases, Phys. Fluids, 16 (1973), pp. 2095-2105.
    • (1973) Phys. Fluids , vol.16 , pp. 2095-2105
    • Mccormack, F.J.1
  • 17
    • 0001081764 scopus 로고    scopus 로고
    • A discrete-ordinates solution for a nongrey model with complete frequency redistribution
    • L. B. BARICHELLO AND C. E. SIEWERT, A discrete-ordinates solution for a nongrey model with complete frequency redistribution, JQSRT, 62 (1999), pp. 665-675.
    • (1999) JQSRT , vol.62 , pp. 665-675
    • Barichello, L.B.1    Siewert, C.E.2
  • 18
    • 0347575583 scopus 로고
    • Effects of accommodation coefficient on temperature and density fields in a slightly rarefied gas
    • Y. ONISHI, Effects of accommodation coefficient on temperature and density fields in a slightly rarefied gas, Trans. Japan Soc. Aero. Space Sci. 17, (1974), pp. 151-159.
    • (1974) Trans. Japan Soc. Aero. Space Sci. , vol.17 , pp. 151-159
    • Onishi, Y.1
  • 19
    • 0346314522 scopus 로고
    • Temperature-jump problem with arbitrary accommodation
    • S. K. LOYALKA, C. E. SIEWERT, AND J. R. THOMAS, JR., Temperature-jump problem with arbitrary accommodation, Phys. Fluids, 21 (1978), pp. 854-855.
    • (1978) Phys. Fluids , vol.21 , pp. 854-855
    • Loyalka, S.K.1    Siewert, C.E.2    Thomas Jr., J.R.3
  • 20
    • 0001623104 scopus 로고
    • Temperature jump and thermal creep slip: Rigid sphere gas
    • S. K. LOYALKA, Temperature jump and thermal creep slip: Rigid sphere gas, Phys. Fluids A, 1 (1989), pp. 403-408.
    • (1989) Phys. Fluids A , vol.1 , pp. 403-408
    • Loyalka, S.K.1
  • 21
    • 5844341702 scopus 로고
    • Temperature jump and Knudsen layer in rarefied gas over a plane wall: Numerical analysis of the linearized Boltzmann equation for hard-sphere molecules
    • Y. SONE, T. OHWADA, AND K. AOKI, Temperature jump and Knudsen layer in rarefied gas over a plane wall: Numerical analysis of the linearized Boltzmann equation for hard-sphere molecules, Phys. Fluids A, 1 (1989), pp. 363-370.
    • (1989) Phys. Fluids A , vol.1 , pp. 363-370
    • Sone, Y.1    Ohwada, T.2    Aoki, K.3
  • 22
    • 0003125121 scopus 로고
    • Variational calculation of the temperature jump for a binary mixture
    • A. E. Beylich, ed., VCH, Weinheim, Germany
    • C. CERCIGNANI AND M. LAMPIS, Variational calculation of the temperature jump for a binary mixture, in Rarefied Gas Dynamics, A. E. Beylich, ed., VCH, Weinheim, Germany, 1991, pp. 1379-1384.
    • (1991) Rarefied Gas Dynamics , pp. 1379-1384
    • Cercignani, C.1    Lampis, M.2
  • 23
    • 0026155813 scopus 로고
    • Temperature jump: Rigid-sphere gas with arbitrary gas/surface interaction
    • S. K. LOYALKA, Temperature jump: Rigid-sphere gas with arbitrary gas/surface interaction, Nucl. Sci. Eng., 108 (1991), pp. 69-73.
    • (1991) Nucl. Sci. Eng. , vol.108 , pp. 69-73
    • Loyalka, S.K.1
  • 24
    • 1842850310 scopus 로고    scopus 로고
    • Application of the Cercignani-Lampis scattering kernel to calculations of rarefied gas flows. II. Slip and jump coefficients
    • F. SHARIPOV, Application of the Cercignani-Lampis scattering kernel to calculations of rarefied gas flows. II. Slip and jump coefficients, Eur. J. Mech. B Fluids, 22 (2003), pp. 133-143.
    • (2003) Eur. J. Mech. B Fluids , vol.22 , pp. 133-143
    • Sharipov, F.1
  • 26
    • 0345725579 scopus 로고    scopus 로고
    • Poiseuille, thermal creep and Couette flow: Results based on the CES model of the linearized Boltzmann equation
    • C. E. SIEWERT, Poiseuille, thermal creep and Couette flow: Results based on the CES model of the linearized Boltzmann equation, Eur. J. Mech. B Fluids, 21 (2002), pp. 579-597.
    • (2002) Eur. J. Mech. B Fluids , vol.21 , pp. 579-597
    • Siewert, C.E.1
  • 27
    • 17644374468 scopus 로고    scopus 로고
    • Unified approach for variable collision frequency models in rarefied gas dynamics
    • M. CAMARGO AND L. B. BARICHELLO, Unified approach for variable collision frequency models in rarefied gas dynamics, Transport Theory Statist. Phys., 33 (2004), pp. 227-260.
    • (2004) Transport Theory Statist. Phys. , vol.33 , pp. 227-260
    • Camargo, M.1    Barichello, L.B.2
  • 28
    • 33644696209 scopus 로고    scopus 로고
    • Unified solutions to some classical problems in rarefied gas dynamics based on the one-dimensional linearized S-model equations
    • L. C. CABRERA AND L. B. BARICHELLO, Unified solutions to some classical problems in rarefied gas dynamics based on the one-dimensional linearized S-model equations, Z. Angew. Math. Phys., 57 (2006), pp. 285-312.
    • (2006) Z. Angew. Math. Phys. , vol.57 , pp. 285-312
    • Cabrera, L.C.1    Barichello, L.B.2
  • 29
    • 0034372516 scopus 로고    scopus 로고
    • The temperature-jump problem in rarefied gas dynamics
    • L. B. BARICHELLO AND C. E. SIEWERT, The temperature-jump problem in rarefied gas dynamics, European J. Appl. Math., 11 (2000), pp. 353-364.
    • (2000) European J. Appl. Math. , vol.11 , pp. 353-364
    • Barichello, L.B.1    Siewert, C.E.2
  • 30
    • 0036143854 scopus 로고    scopus 로고
    • The temperature-jump problem for a variable collision frequency model
    • L. B. BARICHELLO, A. C. R. BARTZ, M. CAMARGO, AND C. E. SIEWERT, The temperature-jump problem for a variable collision frequency model, Phys. Fluids, 14 (2002), pp. 382-391.
    • (2002) Phys. Fluids , vol.14 , pp. 382-391
    • Barichello, L.B.1    Bartz, A.C.R.2    Camargo, M.3    Siewert, C.E.4
  • 31
    • 0037375354 scopus 로고    scopus 로고
    • The linearized Boltzmann equation: A concise and accurate solution of the temperature-jump problem
    • C. E. SIEWERT, The linearized Boltzmann equation: A concise and accurate solution of the temperature-jump problem, JQSRT, 77 (2003), pp. 417-432.
    • (2003) JQSRT , vol.77 , pp. 417-432
    • Siewert, C.E.1
  • 32
    • 15544367227 scopus 로고    scopus 로고
    • The McCormack model for gas mixtures: The temperature-jump problem
    • C. E. SIEWERT, The McCormack model for gas mixtures: The temperature-jump problem, Z. Angew. Math. Phys., 56 (2005), pp. 273-292.
    • (2005) Z. Angew. Math. Phys. , vol.56 , pp. 273-292
    • Siewert, C.E.1
  • 33
    • 0036028113 scopus 로고    scopus 로고
    • Generalized boundary conditions for the S-model kinetic equations basic to flow in a plane channel
    • C. E. SIEWERT, Generalized boundary conditions for the S-model kinetic equations basic to flow in a plane channel, JQSRT, 72 (2002), pp. 75-88.
    • (2002) JQSRT , vol.72 , pp. 75-88
    • Siewert, C.E.1
  • 34
    • 27144485367 scopus 로고    scopus 로고
    • Surface effects in rarefied gas dynamics: An analysis based on the Cercignani-Lampis boundary condition
    • R. F. KNACKFUSS AND L. B. BARICHELLO, Surface effects in rarefied gas dynamics: An analysis based on the Cercignani-Lampis boundary condition, Eur. J. Mech. B Fluids, 25 (2006), pp. 113-129.
    • (2006) Eur. J. Mech. B Fluids , vol.25 , pp. 113-129
    • Knackfuss, R.F.1    Barichello, L.B.2
  • 35
    • 0037440727 scopus 로고    scopus 로고
    • Some comments on modeling the linearized Boltzmann equation
    • L. B. BARICHELLO AND C. E. SIEWERT, Some comments on modeling the linearized Boltzmann equation, JQSRT, 77 (2003), pp. 43-59.
    • (2003) JQSRT , vol.77 , pp. 43-59
    • Barichello, L.B.1    Siewert, C.E.2
  • 36
    • 0001497579 scopus 로고
    • Solution of the Boltzmann-Hilbert integral equation II. The coefficients of viscosity and heat conduction
    • C. L. PEKERIS AND Z. ALTERMAN, Solution of the Boltzmann-Hilbert integral equation II. The coefficients of viscosity and heat conduction, Proc. Nat. Acad. Sci. U.S.A., 43 (1957), pp. 998-1007.
    • (1957) Proc. Nat. Acad. Sci. U.S.A. , vol.43 , pp. 998-1007
    • Pekeris, C.L.1    Alterman, Z.2
  • 37
    • 26344468007 scopus 로고
    • A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems
    • P. L. BHATNAGAR, E. P. GROSS, AND M. KROOK, A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems, Phys. Rev., 94 (1954), pp. 511-525.
    • (1954) Phys. Rev. , vol.94 , pp. 511-525
    • Bhatnagar, P.L.1    Gross, E.P.2    Krook, M.3
  • 38
    • 0033234777 scopus 로고    scopus 로고
    • A discrete-ordinates solution for Poiseuille flow in a plane channel
    • L. B. BARICHELLO AND C. E. SIEWERT, A discrete-ordinates solution for Poiseuille flow in a plane channel, Z. Angew. Math. Phys., 50 (1999), pp. 972-981.
    • (1999) Z. Angew. Math. Phys. , vol.50 , pp. 972-981
    • Barichello, L.B.1    Siewert, C.E.2
  • 40
    • 0030779435 scopus 로고    scopus 로고
    • Kinetic theory analysis for temperature and density fields of a slightly rarefied binary gas mixture over a solid wall
    • Y. ONISHI, Kinetic theory analysis for temperature and density fields of a slightly rarefied binary gas mixture over a solid wall, Phys. Fluids, 9 (1997), pp. 226-238.
    • (1997) Phys. Fluids , vol.9 , pp. 226-238
    • Onishi, Y.1
  • 41
    • 0038507337 scopus 로고    scopus 로고
    • Velocity slip and temperature jump coefficients for gaseous mixtures. I. Viscous slip coefficient
    • F. SHARIPOV AND D. KALEMPA, Velocity slip and temperature jump coefficients for gaseous mixtures. I. Viscous slip coefficient, Phys. Fluids, 15 (2003), pp. 1800-1806.
    • (2003) Phys. Fluids , vol.15 , pp. 1800-1806
    • Sharipov, F.1    Kalempa, D.2
  • 42
    • 13644252311 scopus 로고    scopus 로고
    • Velocity slip and temperature jump coefficients for gaseous mixtures. IV. Temperature jump coefficient
    • F. SHARIPOV AND D. KALEMPA, Velocity slip and temperature jump coefficients for gaseous mixtures. IV. Temperature jump coefficient, Int. J. Heat and Mass Transfer, 48 (2005), pp. 1076-1083.
    • (2005) Int. J. Heat and Mass Transfer , vol.48 , pp. 1076-1083
    • Sharipov, F.1    Kalempa, D.2
  • 43
    • 0003083124 scopus 로고
    • Tangential momentum accommodation coefficients of rare gases on polycrystalline metal surfaces
    • Part I, J. L. Potter, ed., AIAA, New York
    • R. G. LORD, Tangential momentum accommodation coefficients of rare gases on polycrystalline metal surfaces, in Rarefied Gas Dynamics, Progr. Astronautics and Aeronautics 51, Part I, J. L. Potter, ed., AIAA, New York, 1977, pp. 531-538.
    • (1977) Rarefied Gas Dynamics, Progr. Astronautics and Aeronautics , vol.51 , pp. 531-538
    • Lord, R.G.1
  • 44
    • 0016387580 scopus 로고
    • Experimental investigation of rarefied gas flow in different channels
    • B. T. PORODNOV, P. E. SUETIN, S. F. BORISOV, AND V. D. AKINSHIN, Experimental investigation of rarefied gas flow in different channels, J. Fluid Mech., 64 (1974), pp. 417-437.
    • (1974) J. Fluid Mech. , vol.64 , pp. 417-437
    • Porodnov, B.T.1    Suetin, P.E.2    Borisov, S.F.3    Akinshin, V.D.4
  • 45
    • 0000951049 scopus 로고
    • A collection of some controlled surface thermal accommodation coefficient measurements
    • C. L. Brundin, ed., Academic Press, New York
    • L. B. THOMAS, A collection of some controlled surface thermal accommodation coefficient measurements, in Rarefied Gas Dynamics, C. L. Brundin, ed., Academic Press, New York, 1967, pp. 155-162.
    • (1967) Rarefied Gas Dynamics , pp. 155-162
    • Thomas, L.B.1
  • 46
    • 0039735783 scopus 로고
    • Comparative measurements of tangential momentum and thermal accommodation on polished and on roughened steel spheres
    • K. Karamcheti, ed., Academic Press, New York
    • L. B. THOMAS AND R. G. LORD. Comparative measurements of tangential momentum and thermal accommodation on polished and on roughened steel spheres, in Rarefied Gas Dynamics, K. Karamcheti, ed., Academic Press, New York, 1974, pp. 405-412.
    • (1974) Rarefied Gas Dynamics , pp. 405-412
    • Thomas, L.B.1    Lord, R.G.2
  • 47
    • 33645732965 scopus 로고    scopus 로고
    • Gas-surface accommodation coefficients from viscous slip and temperature jump coefficients
    • N. J. MCCORMICK. Gas-surface accommodation coefficients from viscous slip and temperature jump coefficients, Phys. Fluids, 17 (2005), 107104.
    • (2005) Phys. Fluids , vol.17 , pp. 107104
    • Mccormick, N.J.1
  • 48
    • 0037493479 scopus 로고    scopus 로고
    • Viscous-slip, thermal-slip, and temperature-jump coefficients as defined by linearized Boltzmann equation and the Cercignani-Lampis boundary condition
    • C. E. SIEWERT, Viscous-slip, thermal-slip, and temperature-jump coefficients as defined by linearized Boltzmann equation and the Cercignani-Lampis boundary condition, Phys. Fluids, 15 (2003), pp. 1696-1701.
    • (2003) Phys. Fluids , vol.15 , pp. 1696-1701
    • Siewert, C.E.1


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