Boundary slip phenomena in a binary gas mixture

Zeitschrift fur Angewandte Mathematik und Physik

Volumn 53, Issue 1, 2002, Pages 58-72

  Ivchenko, I N ^a   Loyalka, S K ^a   Tompson, R V ^a  

^a UNIVERSITY OF MISSOURI   (United States)

Author keywords

Boundary transfer problems; Gas mixture flows; Kinetic theory of gases; Rarefied gas dynamics; Slip flow problems

Indexed keywords

EID: 0036003036     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-002-8142-y     Document Type: Article

References (42)

1. Kennard, E.H., Kinetic Theory of Gases, McGraw-Hill, New York, 1938.
2. Williams, M.M.R. and Loyalka, S.K., Aerosol Science Theory and Practice, Pergamon Press, New York, 1991.
3. Kogan, M.N., Rarefied Gas Dynamics, Plenum Press, New York, 1969.
4. Cercignani, C., Theory and Application of the Boltzmann Equation, Scottish Academic Press, Edinburg, UK, 1975.
5. Rosner, D.E., Phys. Fluids A 1 (1989), 1761.
6. Gupta, R.N., Scott, C.D., and Moss, J.N., Slip-Boundary Equations for Multicomponent Non-Equilibrium Air Flow, NASA TP2452, Nov. 1985.
7. Kramers, H. and Kistemaker, J., Physica 10 (1943), 699.
8. Kucherov, R. and Rickenglas, L., Zh. Eks. Teor. Fiz. 36 (1958), 1758.
9. Schmitt, K.H., Z. Naturforsch. 16a (1961), 144.
10. Brock, J., J. Colloid Sci. 18 (1963), 489.
11. Lang, H., Acta Mechanica 5 (1966), 163.
12. Zhdanov, V., Zh. Tekh. Fiz. 37 (1967), 192.
13. Lang, H. and Eger, K., Z. Physik Chem. 68 (1969), 130.
14. Bretton, J., Phys. Fluids 12 (1969), 2019.
15. Bretton, J., Physica 50 (1970), 365.
16. Loyalka, S.K., Phys. Fluids 14 (1971), 2599.
17. Cipolla, J. and Cercignani, C. in Rarefied Gas Dynamics, Vol. II, Cercignani, Dini, and Nocilla eds., Editrice Tecnico Scientifica, Italy, 1971, p. 767.
18. Yalamov, Yu.I., Yushkanov, A. and Savkov, S.V., Dokl. Akad. Nauk SSSR 301 (1987), 1111.
19. Savkov, S.V., Slip Boundary Conditions for Non-Uniform Binary Gas Mixtures and Their Application to Aerosol Dynamics, M.S. Thesis, Moscow Aviation Institute, Moscow, 1987.
20. Ivchenko, I.N., Loyalka, S.K. and Tompson, R.V., JVST A 15 (1997), 2375.
21. Huang, C.M., Tompson, R.V., Ghosh, T.K., Ivchenko, I.N., and Loyalka, S.K., Phys. Fluids A 11 (1999), 1662.
22. Loyalka, S.K., Phys. Fluids 14 (1971), 2291.
23. Ivchenko, I.N., Loyalka, S.K. and Tompson, R.V., High Temperature 33 (1995), 66.
24. Loyalka, S.K., Physica A163 (1990), 813.
25. Cercignani, C., Lampis, M., and Lentati, A. in Progress in Astronautics and Aeronautics, Vol. 159, American Institute of Aeronautics and Astronautics, 1994, p. 565.
26. Cercignani, C., Journal of Statistical Physics 1 (1969), 297.
27. Loyalka, S.K., Z. Naturforsch. 26a (1971), 964.
28. Lang, H. and Loyalka, S.K., Phys. Fluids 13 (1970), 1871.
29. Loyalka, S.K., Phys. Fluids 14 (1971), 2599.
30. Yalamov, Yu.I., Ivchenko, I.N. and Deryaguin, B.V., Sov. Phys. Dokl. 13 (1968), 446.
31. Onishi, Y., Fluid Dynamics Research 2 (1987), 35.
32. Onishi, Y., ZAMP 37 (1986), 573.
33. Lang, H. and Loyalka, S.K., Z. Naturforschung 30a (1972), 1307.
34. Waldmann, L. in Rarefied Gas Dynamics, L. Talbot, ed., Academic Press, New York, 1961, p. 323.
35. Waldmann, L. and Schmitt, K.H. in Aerosol Science, Academic Press, New York, 1968.
36. Waldmann, L. and Schmitt, K.H., Z. Naturforsch. 16a (1961), 1343.
37. Lang, H. and Muller, W.J.C., Z. Naturforschung 30a (1975), 855.
38. Chapman, S. and Cowling, T.G., The Mathematical Theory of Non-Uniform Gases, Cambridge University Press, Cambridge, 1990.
39. Ferziger, J.H. and Kaper, H.G., Mathemtical Theory of Transport Processes in NonUniform Gases, North-Holland, Amsterdam, 1972.
40. Hirschfelder, J.O., Curtiss, C.F., and Bird, R.B., Molecular Theory of Gases and Liquids, John Wiley and Sons, New York, 1967.
41. Loyalka, S.K. and Hickey, K.A., J. Appl. Math. Phys. 41 (1990), 246.
42. Loyalka, S.K., Phys. Fluids A 1 (1989), 404.