Issues

 / 

1998

 / 

April

←  →

Reviews of topical problems


Non-equilibrium thermodynamics and kinetic theory of rarefied gases

 a,  b
a Moscow State Engineering Physics Institute (State University), Kashirskoe shosse 31, Moscow, 115409, Russian Federation
b Institute of Physical Chemistry, Russian Academy of Sciences, Leninsky prosp. 31, Moscow, 119991, Russian Federation

The relation between the non-equilibrium thermodynamics and kinetic theory of rarefied gases is discussed. The phenomenological equations of generalized non-equilibrium thermodynamics are formulated using the fundamental relations of kinetic theory. Using the approach developed, the non-equilibrium thermodynamics of a multicomponent gas mixture are formulated for the moment method and Burnett approximation and the boundary conditions including the slip and jump effects are derived for slightly rarefied gases. An application to transport processes in discontinuous systems and gas flows over solid bodies is also made.

Fulltext pdf (455 KB)
Fulltext is also available at DOI: 10.1070/PU1998v041n04ABEH000383
PACS: 05.70.Ln
DOI: 10.1070/PU1998v041n04ABEH000383
URL: https://ufn.ru/en/articles/1998/4/b/
000074653300002
Citation: Zhdanov V M, Roldugin V I "Non-equilibrium thermodynamics and kinetic theory of rarefied gases" Phys. Usp. 41 349–378 (1998)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Жданов В М, Ролдугин В И «Неравновесная термодинамика и кинетическая теория разреженных газов» УФН 168 407–438 (1998); DOI: 10.3367/UFNr.0168.199804b.0407

References (156) Cited by (48) ↓ Similar articles (20)

  1. Abdel W T Z, Alaofi Z M Journal of Non-Equilibrium Thermodynamics 50 (1) 77 (2025)
  2. Aristov V V, Zabelok S A, Frolova A A ’pс’?’?kh’? ф’?’?’?ch’?с’?’?kh ’?’?у’? 195 (03) 276 (2025) [Aristov V V, Zabelok S A, Frolova A A Phys. Usp. 68 (03) 261 (2025)]
  3. Salazar J Félix, Garc?ea-Perciante A L ’? ’?р Universe 9 (7) 339 (2023)
  4. Zhdanov V M, Zaznoba V A, Stepanenko A A Physics of Fluids 33 (1) (2021)
  5. Zhdanov V M, Zaznoba V A Physica A: Statistical Mechanics And Its Applications 565 125575 (2021)
  6. Chermyaninov I V, Chernyak V G Physics of Fluids 33 (12) (2021)
  7. Guo Ya, Jou D, Wang M Phys. Rev. B 98 (10) (2018)
  8. Galkin V S, Rusakov S V Fluid Dyn 53 (1) 152 (2018)
  9. Guo Ya, Wang M International Journal Of Heat And Mass Transfer 103 773 (2016)
  10. Roldughin V I, Zhdanov V M, Kharitonova T V Colloid J 78 (5) 652 (2016)
  11. Roldughin V I, Zhdanov V M, Kharitonova T V Colloid J 77 (4) 500 (2015)
  12. Roldughin V I, Kharitonova T V, Shalygin M G Colloid J 76 (4) 476 (2014)
  13. Abdel W T Z Mathematical Problems In Engineering 2013 1 (2013)
  14. Demirel Ya?zar Arab J Sci Eng 38 (2) 221 (2013)
  15. Abdel W T Z Can. J. Phys. 91 (3) 201 (2013)
  16. Abourabia A M, Abdel W T Z Journal of Non-Equilibrium Thermodynamics 37 (1) 1 (2012)
  17. Abourabia A M, Abdel W T Z Can. J. Phys. 90 (2) 137 (2012)
  18. Takata Sh, Oishi M Physics of Fluids 24 (1) (2012)
  19. Àlvarez F X, Cimmelli V A et al Nanoscale Systems: Mathematical Modeling, Theory and Applications 1 112 (2012)
  20. Takata Sh, Hattori M J Stat Phys 147 (6) 1182 (2012)
  21. AbdelWahid T Z, Elagan S K Can. J. Phys. 90 (10) 987 (2012)
  22. Abourabia A M, Tolba R E Eur. Phys. J. Plus 127 (5) (2012)
  23. Jou D, Sellitto A, Alvarez F X Proc. R. Soc. A. 467 (2133) 2520 (2011)
  24. Mahendra A, Gouthaman G, Singh R International Journal Of Emerging Multidisciplinary Fluid Sciences 3 (1) 21 (2011)
  25. Roldughin V I, Zhdanov V M Advances In Colloid And Interface Science 168 (1-2) 223 (2011)
  26. Mahendra A K, Singh R K, Gouthaman G Computers & Fluids 46 (1) 325 (2011)
  27. Abourabia A M, Wahid T Z A Journal of Non-Equilibrium Thermodynamics 36 (1) (2011)
  28. Jou D, Lebon G, Criado-Sancho M Phys. Rev. E 82 (3) (2010)
  29. Abourabia A M, Abdel W T Z Can. J. Phys. 88 (7) 501 (2010)
  30. Takata Sh J Stat Phys 140 (5) 985 (2010)
  31. Alvarez F X, Jou D, Sellitto A Journal of Applied Physics 105 (1) (2009)
  32. Brenner H International Journal Of Engineering Science 47 (9) 930 (2009)
  33. Takata Sh J Stat Phys 136 (5) 945 (2009)
  34. Takata Sh J Stat Phys 136 (4) 751 (2009)
  35. Brenner H International Journal Of Engineering Science 47 (9) 902 (2009)
  36. Brenner H Physica A: Statistical Mechanics And Its Applications 388 (17) 3391 (2009)
  37. Zhdanov V M, Tirskiy G A Journal Of Applied Mathematics And Mechanics 71 (5) 718 (2007)
  38. Nikolaeva O P Moscow Univ. Phys. 62 (3) 143 (2007)
  39. ’a’?рты’?’?’? ’I A, Martynov G A Teor. Mat. Fiz. 146 (2) 340 (2006)
  40. Roldughin V I Colloid J 68 (1) 79 (2006)
  41. Gerasev A P Uspekhi Fizicheskikh Nauk 174 (10) 1061 (2004)
  42. Martynov G A Theoretical And Mathematical Physics 136 (2) 1167 (2003) [’a’?рты’?’?’? ’I A, Martynov G A Teor. Mat. Fiz. 136 (2) 312 (2003)]
  43. Martynov G A Theoretical And Mathematical Physics 134 (3) 427 (2003)
  44. Galkin V S, Rusakov S V Fluid Dynamics 38 (4) 620 (2003)
  45. Galkin V S, Rusakov S V Journal Of Applied Mathematics And Mechanics 67 (1) 57 (2003)
  46. Roldughin V I, Zhdanov V M Advances In Colloid And Interface Science 98 (2) 121 (2002)
  47. Zhdanov V M, Roldughin V I Colloid Journal 64 (1) 1 (2002)
  48. Zhdanov V M, Roldugin V I J. Exp. Theor. Phys. 95 (4) 682 (2002)

© 1918–2026 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions