Multiscale, hybrid mixture theory for swelling systems - I: Balance laws

International Journal of Engineering Science

Volumn 34, Issue 2, 1996, Pages 125-145

  Bennethum, Lynn Schreyer ^a   Cushman, John H ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001493942     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/0020-7225(95)00089-5     Document Type: Article

References (45)

1. T. P. LABUZA, Moisture Sorption: Practical Aspects of Isotherm Measurement and Use. American Ass. of Cereal Chemists, Minnesota (1984).
2. P. F. LOW, Langmuir 3, 18 (1987).
3. T. L. HILL, Cooperatively Theory in Biochemistry, Chap. 7. Springer, New York (1985).
4. I. R. CAMERON, Nuclear Fission Reactors. Plenum Press, New York (1982).
5. Y. KOIDA, H. TAKAHATA, M. KOBAYASHI and M. SAMEJIME, Chem. Pharm. Bull. 35, 1538 (1987).
6. E. SANCHEZ-PALENCIA, Non-homogeneous media and vibration theory. In Lecture Notes in Physics. Springer, New York (1980).
7. A. BENSOUSSAN, J. L. LIONS and G. PAPANICOLAU, Asymptotic Analysis of Periodic Structures. North-Holland, Amsterdam (1978).
8. J. DOUGLAS Jr and T. ARBOGAST. Dual porosity models for flow in naturally fractured reservoirs. In Dynamics of Fluid in Hierarchical Porous Media (Edited by J. H. CUSHMAN), pp. 177-222. Academic Press, New York (1990).
9. S. WHITAKER, AIChE J. 13, 420 (1967).
10. S. WHITAKER, Ind. Engng Chem. 61, 14 (1969).
11. S. WHITAKER, Transp. Porous Media, 90 (1986).
12. O. A. PLUMB and S. WHITAKER, Diffusion, adsorption and dispersion in porous media: small-scale averaging and local volume averaging. In Dynamics of Fluid in Hierarchical Porous Media (Edited by J. H. CUSHMAN), pp. 97-176. Academic Press, New York (1990).
13. L. W. GELHAR and C. L. AXNESS, Wat. Resour. Res. 19, 161 (1983).
14. H. BRENNER and D. A. EVANS, Macrotransport Process. Butterworth, Boston (1993).
15. B. D. COLEMAN and W. NOLL, Arch. Rat. Mech. Anal. 13, 167 (1963).
16. R. M. BOWEN, Theory of mixtures. In Continuum Physics. Academic Press, New York (1976).
17. R. M. BOWEN, Int. J. Engng Sci. 18, 1129 (1980).
18. R. M. BOWEN, Int. J. Engng Sci. 20, 697 (1982).
19. A. C. BRINGEN, Int. J. Engng Sci. 32, 1337 (1994).
20. S. M. HASSANIZADEH and W. G. GRAY, Adv. Wat. Resour. 2, 131 (1979).
21. S. M. HASSANIZADEH and W. G. GRAY, Adv. Wat. Resour. 2, 191 (1979).
22. S. M. HASSANIZADEH and W. G. GRAY, Adv. Wat. Resour. 3, 25 (1980).
23. S. ACHANTA, J. H. CUSHMAN and M. R. OKOS, Int. J. Engng Sci. 32, 1717 (1994).
24. W. G. GRAY and S. M. HASSANIZADEH, Int. J. Multiphase Flow 15, 81 (1989).
25. W. G. GRAY and S. M. HASSANIZADEH, Wat. Resour. Res. 27, 1855 (1991).
26. S. M. HASSANIZADEH and W. G. GRAY, Adv. Wat. Resour. 13, 169 (1990).
27. A. C. ERINGEN, Mechanics of Continua. Wiley, New York (1967).
28. J. W. GIBBS, Thermodynamics of an interface. In The Scientific Papers of J. Willard Gibbs, Vol. I. Dover, New York (1961). Originally published in Trans. Conn. Acad. 3, 108 and 343.
29. J. W. GIBBS, Thermodynamics of an interface. In The Scientific Papers of J. Willard Gibbs, Vol. I. Dover, New York (1961). Originally published in Trans. Conn. Acad. 3, 108 and 343.
30. G. P. MOECKEL, Thermodynamics of an interface. Arch. Rat. Mech. Anal. 57, 255 (1975).
31. L. S. BENNETHUM, Multiscale, hybrid mixture theory for swelling systems with interfaces. Ph.D. thesis, Purdue University, West Lafayette, IN 47907 (1994).
32. J. BEAR, Dynamics of Fluids in Porous Media. Dover, New York (1972).
33. A. C. ERINGEN and E. S. SUHUBI, Int. J. Engng Sci. 2, 189 (1964).
34. J. C. SLATTERY, AIChE J. 13, 1066 (1967).
35. L. SCHWARTZ, Théorie des Distributions. Hermann et Cie, Paris (1950).
36. J. I. RICHARDS and H. K. YOUN, Theory of Distributions: A Non-technical Introduction. Cambridge Univ. Press, Cambridge (1990).
37. J. H. CUSHMAN, Wat. Resour. Res. 20, 1668 (1984).
38. J. BEAR and Y. BACHMAT, Transport Porous Media 1, 228 (1986).
39. J. L. AURIAULT and C. BOUTIN, Transport Porous Media 7, 63 1992.
40. J. L. AURIAULT and C. BOUTIN, Transport Porous Media 10, 153 (1993).
41. J. L. AURIAULT and C. BOUTIN, Transport Porous Media 14, 143 (1994).
42. M. MURAD, L. S. BENNETHUM and J. H. CUSHMAN, Transport Porous Media 19, 93 (1995).
43. J. H. CUSHMAN, Acta Applic. Math. 3, 239 (1985).
44. M. QUINTARD and S. WHITAKER, J. Mécanique Théor. Appl. 6, 691 (1987).
45. M. QUINTARD and S. WHITAKER, Transport Porous Media 3, 357 (1988).