On the added mass effect for porous media

Archives of Mechanics

Volumn 54, Issue 5-6, 2002, Pages 479-495

  Kosinski W ^a   Kubik, J ^b   Hutter, K ^c  

^a POLISH JAPANESE INSTITUTE OF INFORMATION TECHNOLOGY   (Poland)

^b KAZIMIERZ WIELKI UNIVERSITY   (Poland)

^c DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 26944451453     PISSN: 03732029     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (25)

1. A. BEDFORD and D. C. DRUMIIELLER, Theories of immiscible and structured mixtures, Int. J. Engng Sci., 21, 8, 863-960, 1983.
2. A. BEDFORD, R. D. COSTLEY, M. STERN, On the drag and virtual mass coefficients in Biot's equations, J. Acoust.Soc. Am., 76, 6, 1804-1809, 1983.
3. M. A. BLOT, Theory of propagation of elastic waves in fluid saturated porous soli, J. Acous. Soc. Am., 28 9, 168-191, 1956.
4. M. A. BLOT, Generalized theory of acoustic propagation in porous dissipative media, J. Acoust. Soc. Am., 9, 34, 1254-1264, 1962.
5. M. A. BLOT, Mechanics of deformation and acoustic propagation in porous media, J. Appl. Phys., 4, 33, 1482-1498, 1962.
6. M. A. BLOT, Theory of finite deformations of porous solids, Ind. Univ. Math. J., 21, 7, 597-620, 1972.
7. R. M. BOWEN, Compressible porous media models by use of the theory of mixtures, Int. J. Engng Sci., 20, 697-735, 1982.
8. R. M. BOWEN, Diffusion models implied by the theory of mixtures, [in:] Rational Thermodynamics, C. Truesdell, 2 ed Edition, pp. 237-263, Springer, New York, 1984.
9. M. CIESZKO, and J. KUBIK, Constitutive relations and internal equilibrium condition for fluid-saturated porous solids. Nonlinear theory, Arch. Mech. 48, 5, 893-910, 1996.
10. M. CIESZKO, J. KUBIK, Constitutive relations and internal equilibrium condition for fluid-saturated porous solid. Linear description, Arch. Mech. 48, 5, 911-923, 1996.
11. O. COUSSY, Thermomechanics of saturated porous solids in finite deformation, Eur. J. Mech, A/Solids 8, 1, 1-14, 1989.
12. D. DREW, L. CHENG, R. T. LAHEY, The analysis of virtual mass effects in two-phase flow, Int. J. Multiphase Flow, 5, 233-242, 1979.
13. J. A. GEURST, Virtual mass in two-phase bubbly flow, Physica, 129A, 233-261, 1985.
14. A. E. GREEN and P. M. NAGIIDI, A dynamical theory of interacting continua, Int. J. Engng Sci., 3, 231-241, 1965.
15. M. HASSANIZADEH and W. G. GRAY, General conservation equations for multiphase systems. Averaging procedure, Adv. Water Res., 2, 131-144, 1979.
16. M. KACZMAREK and J. KUBIK, Determination of material constants of fluid-saturated porous solid (in Polish), Engng Trans., 33, 4, 589-609, 1985.
17. J. KUBIK, On internal coupling in dynamic equations of fluid-saturated porous solid, Int. J. Engng Sci., 24, 981-989, 1986.
18. J. KUBIK, Pore structure in dynamic behaviour of saturated materials, Transport in Porous Media, 9, 15-24, 1992.
19. J. KUBIK, M. Cieszko, M. Kaczmarek, 2000 Fundamentals of Dynamics of saturated porous media (in Polish), IPPT PAN, Warszawa 2000.
20. D. LHUILLIER, Phenomenology of inertia effects in a dispersed solid-fluid mixture, Int. J. Multiphase Flow, 11, 4, 427-444, 1985.
21. G. SZEFER, Nonlinear problems of consolidation theory, [in:] Problems de Reologie, Symposium Franco-Polonaise, Kraków 1977, pp. 585-604, PWN, Warszawa 1980.
22. C. TRUESDELL and R. A. TOUPIN, The classical field theories, [in:] Handbuch der Physik, vol. III/I. pp. 226-793, Springer-Verlag, Berlin-Gottingen-Heidelberg, 1960.
23. G. B. WALLIS, On Geurst's equations for inertial coupling in two-phase flow, in Two Phase Flows and Waves, D. D. JOSEPH, D. G. SCHAEFFER [Ed.], Springer-Verlag, pp. 150-164, 1990.
24. S. WHITAKER, Flow in porous media I: A theoretical derivation of Darcys' law, Transport in Porous Media, 1, 3-25, 1986.
25. B. YAVARI, A. BEDFORD, Computation af the Biot drag and virtual mass coefficients, Int. J. Multiphase Flow, 14, 1-12, 1988.