ON THE ELECTROMECHANICAL BEHAVIOR OF ELECTROLYTE SOLUTIONS

ON THE ELECTROMECHANICAL BEHAVIOR OF ELECTROLYTE SOLUTIONS

Reis, M. C.; Bassi, A. B. M. S.

Full Article:

Since the publication of Cosserat brothers’ work, microcontinuum field theories have been making decisive progresses, concerning the fundamentals and the development of mathematical models, in several engineering and biomechanics topics. These theories, unlike the classical field ones, made possible to analyze many different properties of non-simple bodies. Thus, they attracted the researchers’ attention, especially of those studying the transport of electrolytes in charged hydrated biological tissues. Nevertheless, some fundamental aspects of the electromechanical and chemical interactions are usually neglected. In fact, the study of ion-solvent and ion-ion interactions in electrolyte solutions is still an important research topic, because these interactions affect the drift of ions and the electric and chemical properties of solutions. Thus, in this work we developed a model for diluted electrolyte solutions using continuum thermodynamics. For reaching this aim, the continuum mixtures theory concepts were employed. Moreover, we supposed that the electrolyte solutions are material bodies with inner rigid structures (micropolar medium) which can interact with mechanical, quasi-static electromagnetic and chemical fields. Global balance laws for mass, linear and angular momenta, energy, and entropy, were settled and localized to obtain the local laws. From these balance laws, we distinguished the chemical behavior of two kinds of electrolytes, and emphasized the polar character of the solution, which is related to physical-chemical interactions between the ion and solvent molecules. In addition, we showed that translational and rotational movements contribute differently to the energy flux vector. While numerical results are not presented, the theoretical results obtained exhibit central importance for the discussion and prediction of physical-chemical phenomena in more complex materials, such as blood, biological tissues, polymeric suspensions, and slurries.

Since the publication of Cosserat brothers’ work, microcontinuum field theories have been making decisive progresses, concerning the fundamentals and the development of mathematical models, in several engineering and biomechanics topics. These theories, unlike the classical field ones, made possible to analyze many different properties of non-simple bodies. Thus, they attracted the researchers’ attention, especially of those studying the transport of electrolytes in charged hydrated biological tissues. Nevertheless, some fundamental aspects of the electromechanical and chemical interactions are usually neglected. In fact, the study of ion-solvent and ion-ion interactions in electrolyte solutions is still an important research topic, because these interactions affect the drift of ions and the electric and chemical properties of solutions. Thus, in this work we developed a model for diluted electrolyte solutions using continuum thermodynamics. For reaching this aim, the continuum mixtures theory concepts were employed. Moreover, we supposed that the electrolyte solutions are material bodies with inner rigid structures (micropolar medium) which can interact with mechanical, quasi-static electromagnetic and chemical fields. Global balance laws for mass, linear and angular momenta, energy, and entropy, were settled and localized to obtain the local laws. From these balance laws, we distinguished the chemical behavior of two kinds of electrolytes, and emphasized the polar character of the solution, which is related to physical-chemical interactions between the ion and solvent molecules. In addition, we showed that translational and rotational movements contribute differently to the energy flux vector. While numerical results are not presented, the theoretical results obtained exhibit central importance for the discussion and prediction of physical-chemical phenomena in more complex materials, such as blood, biological tissues, polymeric suspensions, and slurries.

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DOI: 10.5151/meceng-wccm2012-25

Referências bibliográficas

• [1] Bockris, J. O’M., Reddy, A.K.N., Modern Electrochemistry. Ionics, 2nd Ed., Kluwer Academic Publishers: New York, 2002.
• [2] Eringen, A.C., Microcontinuum Field Theories. I. Foundations and Solids, Springer: New York, 1994.
• [3] Eringen, A.C., Nonlocal Continuum Field Theories, Springer: New York, 2002.
• [4] Hutter, K., Johnk, K.D., Methods of Physical Modeling. Continuum Mechanics, Dimensional Analysis, Turbulence, Springer: Berlin, 2004.
• [5] Liu, I-S., “Method of Lagrange Multipliers for Exploitation of the Entropy Principle”, Arch. Ration. Mech. Anal. 46, 131-148, 1972.
• [6] Melcher, J.R., Continuum Electromechanics, MIT Press: Cambridge, 1981.
• [7] Truesdell, C.A., Rational Thermodynamics, Springer: New York, 1968.
• [8] Truesdell, C.A., Noll,W., The Non-linear Field Theories of Mechanics, 3rd Ed., Springer: Berlin, 2004.

Como citar:

Reis, M. C.; Bassi, A. B. M. S.; "ON THE ELECTROMECHANICAL BEHAVIOR OF ELECTROLYTE SOLUTIONS", p-1-10. In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 23580828, DOI 10.5151/meceng-wccm2012-25