Concise and accurate solutions to half-space binary-gas flow problems defined by the McCormack model and specular-diffuse wall conditions

European Journal of Mechanics, B/Fluids

Volumn 23, Issue 5, 2004, Pages 709-726

  Siewert, C E ^a   Valougeorgis, D ^b  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF THESSALY   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CREEP; HYDRODYNAMICS; MAXWELL EQUATIONS; NUMERICAL ANALYSIS; PROBLEM SOLVING; VISCOSITY;

BOLTZMANN EQUATION (BE); INTERMOLECULAR LAWS; KINETIC EQUATIONS; MECHANOCALORIC EFFECTS;

FLUID MECHANICS;

EID: 1842523649     PISSN: 09977546     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechflu.2003.12.002     Document Type: Article

References (32)

1. Chapman S., Cowling T.G. The Mathematical Theory of Non-Uniform Gases. 1952;Cambridge University Press, Cambridge.
2. Ferziger J.H., Kaper H.G. Mathematical Theory of Transport Processes in Gases. 1972;North-Holland, Amsterdam.
3. Cercignani C. Rarefied Gas Dynamics: from Basic Concepts to Actual Calculations. 2000;Cambridge University Press, Cambridge.
4. Muntz E.P. Rarefied gas dynamics. Ann. Rev. Fluid Mech. 21:1989;387-417.
5. Bird G.A. Molecular Gas Dynamics and the Direct Simulation of Gas Flows. 1994;Oxford University Press, New York.
6. Sharipov F., Seleznev V. Data on internal rarefied gas flows. J. Phys. Chem. Ref. Data. 27:1998;657-706.
7. Lang H., Loyalka S.K. An exact expression for the diffusion slip velocity in a binary gas mixture. Phys. Fluids. 13:1970;1871-1873.
8. Loyalka S.K. Velocity slip coefficient and the diffusion slip velocity for a multicomponent gas mixture. Phys. Fluids. 14:1971;2599-2604.
9. Chernyak V.G., Kalinin V.V., Suetin P.E. The kinetic phenomena in nonisothermal motion of a binary gas mixture through a plane channel. Int. J. Heat Mass Transfer. 27:1984;1189-1196.
10. Onishi Y. On the behavior of a slightly rarefied gas mixture over plane boundaries. J. Appl. Math. Phys. (ZAMP). 37:1986;573-596.
11. Valougeorgis D. Couette flow of a binary gas mixture. Phys. Fluids. 31:1988;521-524.
12. Onishi Y. On the diffusion-slip flow of a binary gas mixture over a plane wall with imperfect accommodation. Fluid Dynamics Res. 2:1987;35-46.
13. Sharipov F., Kalempa D. Gaseous mixture flow through a long tube at arbitrary Knudsen numbers. J. Vac. Sci. Technol. A. 20:2002;814-822.
14. Sharipov F., Kalempa D. Velocity slip and temperature jump coefficients for gaseous mixtures. I. Viscous slip coefficient. Phys. Fluids. 15:2003;1800-1806.
15. F. Sharipov, D. Kalempa, Velocity slip and temperature jump coefficients for gaseous mixtures. II. Thermal slip coefficient (2003) submitted for publication.
16. Ivchenko I.N., Loyalka S.K., Tompson R.V. Slip coefficients for binary gas mixtures. J. Vac. Sci. Technol. A. 15:1997;2375-2381.
17. Ivchenko I.N., Loyalka S.K., Tompson R.V. Boundary slip phenomena in a binary gas mixture. J. Appl. Math. Phys. (ZAMP). 53:2002;58-72.
18. S. Naris, D. Valougeorgis. F. Sharipov, D. Kalempa, Discrete velocity modelling of gaseous mixture flows in MEMS, in: Eurotherm 75, Reims, 2003.
19. Ho C.M., Tai Y.C. Micro-electro-mechanical systems (MEMS) and fluid flows. Ann. Rev. Fluid Mech. 30:1998;579-612.
20. Karniadakis G.E., Beskok A. Micro Flows. 2002;Springer-Verlag, New York.
21. Bentz J.A., Tompson R.V., Loyalka S.K. Viscosity and velocity slip coefficients for gas mixtures: measurements with a spinning rotor gauge. J. Vac. Sci. Technol. A. 17:1999;235-241.
22. Huang C.M., Tompson R.V., Ghosh T.K., Ivchenko I.N., Loyalka S.K. Measurements of thermal creep in binary gas mixtures. Phys. Fluids. 11:1999;1662-1672.
23. McCormack F.J. Construction of linearized kinetic models for gaseous mixtures and molecular gases. Phys. Fluids. 16:1973;2095-2105.
24. Barichello L.B., Siewert C.E. A discrete-ordinates solution for a non-grey model with complete frequency redistribution. J. Quant. Spectros. Radiat. Transfer. 62:1999;665-675.
25. Barichello L.B., Camargo M., Rodrigues P., Siewert C.E. Unified solutions to classical flow problems based on the BGK model. J. Appl. Math. Phys. (ZAMP). 52:2001;517-534.
26. Siewert C.E., Sharipov F. Model equations in rarefied gas dynamics: Viscous-slip and thermal-slip coefficients. Phys. Fluids. 14:2002;4123-4129.
27. Siewert C.E. Viscous-slip, thermal-slip, and temperature-jump coefficients as defined by the linearized Boltzmann equation and the Cercignani-Lampis boundary condition. Phys. Fluids. 15:2003;1696-1701.
28. Siewert C.E., Valougeorgis D. The temperature-jump problem for a mixture of two gases. J. Quant. Spectros. Radiat. Transfer. 70:2001;307-319.
29. Siewert C.E. Couette flow for a binary gas mixture. J. Quant. Spectros. Radiat. Transfer. 70:2001;321-332.
30. Hamel B.B. Kinetic model for binary gas mixtures. Phys. Fluids. 8:1965;418-425.
31. F. Sharipov, Heat transfer in the Knudsen layer (2003) submitted for publication.
32. C.E. Siewert, On computing the thermal-slip coefficient from Kramers' problem (2003) submitted for publication.