The Fick and Lagrange equations as a basis for the Maxwell-Stefan diffusion equations

International Journal of Heat and Mass Transfer

Volumn 40, Issue 10, 1997, Pages 2373-2377

  Mitrovic, J ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION; ENERGY DISSIPATION; EQUATIONS OF MOTION; KINETIC THEORY OF GASES; LAGRANGE MULTIPLIERS; MAXWELL EQUATIONS;

DISSIPATION FUNCTION; FICK AND LAGRANGE EQUATION; MAXWELL-STEFAN DIFFUSION EQUATION;

MASS TRANSFER;

EID: 0031177531     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(96)00308-0     Document Type: Article

References (25)

1. Taylor, R. and Krishna, R., Multicomponent Mass Transfer. Wiley, New York, 1993.
2. Tyrrel, H. J. V., Diffusion and Heat Flow in Liquids. Butterworths, London, 1961.
3. Webb, D. R., Multicomponent condensation. Proceedings of the 9th International Heat Transfer Conference, 1990, 1, 287-304.
4. Maxwell, J. C., On the dynamical theory of gases. The Scientific Papers of J. C. Maxwell, 1965, 2, 26-78.
5. Stefan, J., Über das Gleichgewicht und Bewegung, insbesondere die Diffusion von Gemischen. Sitzungsberichte der Kaiserlichen Akademie der Wissenschaften Wien, 2te Abteilung a, 1871 63, 63-124.
6. Maxwell, J. C., Diffusion. Encyclopaedia Britannica, 9th edn, 1877, See also: The Scientific Papers of J. C. Maxwell, 1965, 2, 625-646.
7. Maxwell, J. C., Diffusion. Encyclopaedia Britannica, 9th edn, 1877, See also: The Scientific Papers of J. C. Maxwell, 1965, 2, 625-646.
8. Mitrovic, J., Remarks upon the contribution of J. Stefan to the understanding of diffusion processes. International Journal of Heat and Mass Transfer, 1996, 39, 218-220.
9. Fitts, D. D., Nonequilibrium Thermodynamics. A Phenomenological Theory of Irreversible Processes in Fluid Systems. McGraw-Hill, New York, 1962.
10. Furry, W. H., On the elementary explanation of diffusion phenomena in gases. American Journal of Physics, 1948, 16, 63-78.
11. Williams, F. A., Elementary derivation of the multicomponent diffusion equation. American Journal of Physics, 1958, 26, 467-469.
12. Bearman, R. J., On the molecular basis of some current theories of diffusion. Journal of Physical Chemistry, 1961, 65, 1961-1968.
13. Zhdanov, V., Kagan, Yu. and Sazykin, A., Effect of viscous transfer of momentum on diffusion in a gas mixture. Soviet Physics JETP, 1962, 15, 596-602.
14. Alievskij, M. Yu. and Zhdanov, V., Transport and relaxation phenomena in polyatomic gas mixture. Soviet Physics JETP, 1969, 28, 116-121.
15. Lightfoot, E. N., Cussler, Jr, E. L. and Rettig, R. L., Applicability of the Stefan-Maxwell equations to multicomponent diffusion in liquids, A.I.Ch.E. Journal, 1962, 8, 708-710.
16. Standart, G. L., Taylor, R. and Krishna, R., The Maxwell-Stefan formulation of irreversible thermodynamics for simultaneous heat and mass transfer. Chemical Engineering Communications, 1977, 3, 277-289.
17. Onsager, L., Reciprocal relations in irreversible processes. I. Physical Review, 1931, 37, 405-426.
18. Onsager, L., Theories and problems of liquid diffusion. Annals New York Academy of Sciences, 1945, 46, 241-265.
19. Jaumann, G., Geschlossene Systeme physikalischer und chemischer Differentialgesetze. Sitzungsberichte der Kaiserlichen Akademie der Wissenschaften Wien, 2te Abteilung a, 1911, 120, 385-530.
20. Lohr, E., Entropieprinzip und geschlossenes Gleichungssystem. Denkschriften der Kaiserlichen Akademie der Wissenschaften Wien, Mathem.-Naturwiss. Klasse, 1917, 93, 339-421.
21. Fick, A., Über diffusion. Annalen der Physik und Chemie, 1855, 94, 59-96.
22. Webster, A. G., The Dynamics of Particles and of Rigid, Elastic and Fluid Bodies, 2nd edn. Dover, New York, 1959.
23. Voltera, E. and Zachmanoglu, E. C., Dynamics of Vibrations. Charles E. Merill Books, OH, 1965.
24. Rayleigh, Baron, (J. W. Strutt), Some general theorems relating to vibration. Proceedings of the Mathematical Society of London, 1873, 4, 357-368. See also : The Theory of Sound, 2nd edn, Vol. 1. Dover Publ. New York, 1945, pp. 100-104.
25. Rayleigh, Baron, (J. W. Strutt), Some general theorems relating to vibration. Proceedings of the Mathematical Society of London, 1873, 4, 357-368. See also : The Theory of Sound, 2nd edn, Vol. 1. Dover Publ. New York, 1945, pp. 100-104.