Skip to main content

On Adsorption and Diffusion in Microstructured Porous Media

  • Conference paper

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 125))

Abstract

We formulate the balance principles for an immiscible mixture of continua with microstructure in the broadest sense for include, e.g., phenomena of diffusion, adsorption and chemical reactions. After we consider the flow of a fluid/adsorbate mixture through big pores of an elastic solid skeleton and propose suitable constitutive equations to study the coupling of adsorption and diffusion under isothermal conditions.

This research was partially supported by the Italian M.U.R.S.T. through the project “Cofin2002 - Mathematical Models for the Material Science”.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Albers, B. (2000) Coupling of Adsorption and Diffusion in Porous and Granular Materials. A 1-D Example of the Boundary Value Problem. Arch. Appl. Mech. 70, 519–531

    MATH  Google Scholar 

  2. Bowen, R.M. (1969) The Thermochemistry of a Reacting Mixture of Elastic Materials with Diffusion. Arch. Rat. Mech. Anal. 34, 97–127

    Article  MATH  MathSciNet  Google Scholar 

  3. Capriz, G. (1989) Continua with Microstructure. Springer Tracts in Natural Philosophy 35. New York: Springer-Verlag

    Google Scholar 

  4. Giovine, P. (1990) Sulla Dinamica di una Miscela di Due Fluidi Comprimibili e Non Miscibili. Rend. Mat. Acc. Lincei 1(9), 377–385

    MATH  MathSciNet  Google Scholar 

  5. Giovine, P. (1996) Porous Solids as Materials with Ellipsoidal Structure. In Batra, R.C. and Beatty, M.F. (eds.): Contemporary Research in the Mechanics and Mathematics of Materials. Barcelona: CIMNE, pp. 335–342

    Google Scholar 

  6. Giovine, P. (2003) A Continuum Theory of Soils: Viewed as Peculiar Immiscible Mixtures. Mathematical and computer modelling 37, 525–532

    Article  MATH  MathSciNet  Google Scholar 

  7. Giovine, P., and Palumbo, A. (2003) Modeling Contaminant Transport in Soils. Proc. Medit. Conf. on Modelling and Simulation’ 03, Reggio Calabria, June 2003, Session on Modeling, Tech. Note No. 178 on CD Rom: NeuroLab

    Google Scholar 

  8. Langmuir, I. (1918) The Adsorption of Gases on Plane Surfaces of Glass, Mica and Platinum. Journal of American Chemical Society 40, 1361–1403

    Google Scholar 

  9. Passman, S.L., Nunziato, J.W., and Walsh, E.K. (1984). A Theory of Multiphase Mixtures. In Truesdell, C.: Rational Thermodynamics, 2nd edition. New York: Springer-Verlag, pp. 218–236

    Google Scholar 

  10. Truesdell, C. (1969). Thermodynamics of Diffusion. Rational Thermodynamics, Lecture 5. New York: McGraw-Hill

    Google Scholar 

  11. Wilmanski, K. (2002) Mass Exchange, Diffusion and Large Deformations of Poroelastic Materials. Capriz, G., Ghionna, V.N., and Giovine, P. (eds): Modeling and Mechanics of Granular and Porous Materials. Series on Modeling and Simul. in Sc., Engineering and Technology, Boston: Birkhauser, pp. 211–242

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer

About this paper

Cite this paper

Giovine, P. (2005). On Adsorption and Diffusion in Microstructured 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_20

Download citation

  • DOI: https://doi.org/10.1007/1-4020-3865-8_20

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-3864-8

  • Online ISBN: 978-1-4020-3865-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics