Abstract
In a thermodynamic framework which exploits the entropy inequality to obtain constitutive equations, it is common practice to assume charge neutrality and enforce this restriction using Lagrange multipliers. In this paper we show that the Lagrange multiplier used to enforce charge neutrality does not correspond to any known physical parameter, raising the question of whether charge neutrality can really be enforced.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Achanta, S., Cushman, J.H. and Okos, M.R. (1994) On multicomponent, multiphase thermomechanics with interfaces, International Journal of Engineering Science 32(11), 1717–1738
Bennethum, L.S. (1994) Multiscale, hybrid mixture theory for swelling systems with interfaces, PhD thesis, Purdue University, West Lafayette, 47907.
Bennethum, L.S. and Cushman, J.H. (1996) Multiscale, hybrid mixture theory for swelling systems — II: Constitutive theory, International Journal of Engineering Science 34(2), 147–169
Bennethum, L.S. and Cushman, J.H. (2002) Multicomponent, multiphase thermodynamics of swelling porous media with electroquasistatics: I. Macroscale field equations, Transport in Porous Media, 47(3), 309–336
Bennethum, L.S. and Cushman, J.H. (2002) Multicomponent, multiphase thermodynamics of swelling porous media with electroquasistatics: II. Constitutive theory, Transport in Porous Media 47(3), 337–362
Bennethum, L.S., Murad, M.A., and Cushman, J.H. (2000) Macroscale thermodynamics and the chemical potential for swelling porous media Transport in Porous Media 39(2), 187–225
Bennethum, L.S. and Weinstein, T. (2002) Three pressures in porous media Transport in Porous Media, To Appear.
Bowen, R.M. (1971) Theory of Mixtures, in: Continuum physics Vol. 3, ed. Eringen, A.C. Academic Press, New York
Coleman, B.D. and Noll, W. (1963) The thermodynamics of elastic materials with heat conduction and viscosity, Archive for Rational Mechanics and Analysis 13, 167–178
Eringen, A.C. (1967) Mechanics of Continua, John Wiley and Sons, New York
Eringen, A.C. (1998) A mixture theory of electromagnetism and superconductivity, International Journal of Engineering Science 36(5,6), 525–543
Gray, W.G. (1999) Thermodynamics and constitutive theory for multiphase porous-media flow considering internal geometric constraints, Advances inWater Resources 22(5), 521–547
Gu, W.Y., Lai, W.M., and Mow, V.C. (1999) Transport of multi-electrolytes in charged hydrated biological soft tissues, Transport in Porous Media 34, 143–157
Gu, W.Y., Lai, W.M., and Mow, V.C. (1998) A mixture theory for charged-hydrated soft tissues containing multi-electrolytes: Passive transport and swelling behaviors, Journal of Biomechanical Engineering 120, 169–180
Huyghe, J.M. and Janssen, J.D. (1999) Thermo-chemo-electro-mechanical formulation of saturated charged porous solids, Transport in Porous Media 34, 129–141
Kelly, P.D. (1964) A reacting continuum, International Journal of Engineering Science 2, 129–153
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer
About this paper
Cite this paper
Bennethum, L.S. (2005). Charge Neutrality — Does It Exist?. 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_29
Download citation
DOI: https://doi.org/10.1007/1-4020-3865-8_29
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3864-8
Online ISBN: 978-1-4020-3865-5
eBook Packages: EngineeringEngineering (R0)