Infiltration through deformable porous media

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 82, Issue 2, 2002, Pages 115-124

  Ambrosi, D ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

Darcy's law; Inertia; Infiltration; Mixture theory; Moving boundaries; Porous deforinable media

Indexed keywords

EID: 0009648139     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/1521-4001(200202)82:2<115::AID-ZAMM115>3.0.CO;2-4     Document Type: Article

References (22)

1. PREZIOSI, L.: The theory of deformable porous media and its application to composite material manufacturing. Surveys Math, for Industry 6 (1990), 167-214.
2. AMBROSI, D.; PREZIOSI, L.: Modelling matrix injection through porous preforms. Composites A 29 (1998), 5-18.
3. AMDROSI, D.; PREZIOSI, L.: Modelling injection moulding processes with deformable porous preforms. SIAM J. Appl. Math. 61 (2000), 22-42.
4. BILLI, L.; FARINA, A.: Unidirectional infiltration in deformable porous media: mathematical modelling and self-similar solution. Quart. Appl. Math. 58 (2000), 85-101.
5. WILMANSKI, K.: Lagrangecau model of two-plm.sc porous material. J. Non-Equil. Thermodyn. 20 (1995), 50-77.
6. DLUHM, J.; DE DOER, R.; WILMANSKI, K.: The thermodynamic structure of the two-component model of porous incompressible materials with true mass densities. Mcch. Res. Commun. 22 (1995) 2, 171-180.
7. DE DOER, R.: Saturated compressible and incompressible clastic porous solids. ZAMM 77 (1997), S397-S400.
8. DE BOER, R.: The thermodynamic structure and constitutive equations for fluid-saturated compressible and incompressible porous solids. Int. J. Solids Struct. 35 (1998), 4557-4573.
9. BOWEN, R. M.: Incompressible porous media models by use of the theory of mixtures. Int. J. Eng. Sci. 18 (1980), 1129-1148.
10. RAJAGOPAL, K. R.; TAG, L.: Mechanics of mixtures. World Scientific, Singapore 1995.
11. DE BOER, R.: Theory of porous media: past and present. ZAMM 78 (1998), 441-460.
12. BOWEN, R. M.: Theory of mixtures. In: BRINGEN, A. C. (ed.): Continuum physics. Academic Press, 1970.
13. Liu, Z.; DLUHM, J.; DE BOER, R.: Inhomogcncous plane waves, mechanical energy flux and energy dissipation in a two-phase porous medium. ZAMM 78 (1998), 617-625.
14. HUTTER, K.; JöIINK, K.; SVENDSEN, B.: On intcrfacial transition conditions in two phase gravity flow. Z. angew. Math. Phys. 45 (1994), 740-702.
15. Liu, I. S.: On chemical potential and incompressible porous media. J. Mcc. 10 (1980) 2, 327-342.
16. MANNSETH, T.: On the fluid-phase momentum balance laws and momentum jump condition for porous media flow. Eur. J. Mcch./B Fluids 10 (1991), 97-111.
17. BEAVERS, G. S.; JOSEPH, D. D.: Boundary conditions at a naturally permeable wall. J. Fluid Mcch. 30 (1907), 197-207.
18. PAYNE, L. E.; STRAUGHAN, B.: Analysis of the boundary conditions at the interface between a viscous fluid and a porous medium and related modelling questions. J. Math. Pur. Appl. Anal. 77 (1998), 317-354.
19. GURTIN, M. E.: An introduction to continuum mechanics. Academic Press, New York 1981.
20. GURTIN, M. E.: The nature of configurational forces. Arch. Rat. Mcch. Anal. 131 (1995), 101-119.
21. Liu, T. P.: Hyperbolic conservation laws with relaxation. Comm. Math. Phys. 108 (1987), 153-175.
22. CHEN, G. Q.; LEVERMORE, C. D.; LIU, T. P.: Hyperbolic conservation laws with stiff relaxation terms and entropy. Comm. Pure Appl. Math. 47 (1994), 787-830.