Abstract
The aim of this contribution is to derive macroscopic equations describing flow of two-ionic species electrolytes through porous piezoelectric media with random, not necessarily ergodic, distribution of pores. Under assumption of ergodicity the macroscopic equations simplify and are obtained by using the Birkhoff ergodic theorem.
The authors were supported by EC through the project MIAB, No QLK6-CT-1999 - 02024 and SPUB (KBN, Poland).
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References
Adler, P.M. and Thovert, J.-F. (1998) Real Porous Media: Local Geometry and Macroscopic Properties. Appl. Mech. Rev. 51(9), 537–585
Adler, P.M., Thovert, J.-F. and Békri, S. (2000) Local Geometry and Macroscopic Properties. Interfacial Electrokinetics and Electrophoresis, 35–51, Springer-Verlag, Symbolic Computation, Tokyo
Bielski, W., Telega, J.J. and Wojnar, R. (1999) Macroscopic Equations for Nonstationary Flow of Stokesian Fluid through Porous Elastic Medium. Arch. Mech. 51, 243–274
Bourgeat, A., Mikelić, A. and Wright, S. (1994) Stochastic Two-scale Convergence in the Mean. J. reine angew. Math. 456, 19–51
Gu, W.Y., W. M. Lai, and V. C. Mow. (1998) A Mixture Theory for Charged-hydrated Soft Tissues Containing Multi-electrolytes: Passive Transport and Swelling Behaviors. J. Biomech. Eng. 120, 169–180
Huyghe, J.M. and Janssen J.D. Quadriphasic Mechanics of Swelling Incompressible Porous Media, in press
Lai, L.M., Mow, V.C. and Roth, V. (1981) Effects of Nonlinear Strain-dependent Permeability and the Rate of Compression on the Stress Behavior of Articular Cartilage. J. Biomech. Eng. 103, 61–66
Levitt, D.G. (2002) The use of Streaming Potential Measurements to Characterize Biological Ion Channels. Membrane Transport and Renal Physiology, 53–63, Springer, New York.
Reinish, G.B. and Nowick, A.S. (1975) Piezoelectric Properties of Bone as Functions of Moisture Content. Nature 253, 626–627
Telega J.J. (1991) Piezoelectricity and Homogenization. Application to Biomechanics. Continuum Models and Discrete Systems, 220–229, Longman, Essex.
Telega, J.J. and Bielski, W. (2002) Stochastic Homogenization and Macroscopic Modelling of Composites and the Flow through Porous Media. Theor. Appl. Mech. 28-29, 337–377
Telega, J.J. and Bielski, W. (2002) Nonstationary Flow of Stokesian Fluid through Random Porous Medium with Elastic Skeleton. Poromechanics II, 569–574, Lisse Abbington Exton (PA) Tokyo
Telega, J.J. and Bielski, w. (2003) Flow in Random Porous Media: Effective Models. Comp. Geotech. 30, 271–288
Telega, J.J. and Wojnar, R. (2000) Flow of Electrolyte through Porous Piezoelectric Medium: Macroscopic Equations. C. R. Acad. Sci. Paris Série IIb 328, 225–230
Telega, J.J. and Wojnar, R. (2002) Piezoelectric Effects in Biological Tissues. J. Theor. Appl. Mech. 40, 723–759
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Telega, J.J., Wojnar, R. (2005). Electrokinetics in Random Deformable Porous Media. In: Gladwell, G.M.L., Huyghe, J., Raats, P.A., Cowin, S.C. (eds) IUTAM Symposium on Physicochemical and Electromechanical Interactions in Porous Media. Solid Mechanics and Its Applications, vol 125. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3865-8_12
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DOI: https://doi.org/10.1007/1-4020-3865-8_12
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