Skip to main content

Main menu

  • Home
  • Content
    • Current
    • Archive
    • Special Volumes and Special Issue
  • Subscriptions
    • Subscribers
    • Pricing
    • FAQ
    • Terms & Conditions for use of AJS Online
  • Instructions to Authors
  • Site Features
    • Alerts
    • Feedback
    • Usage Statistics
    • RSS
  • About Us
    • Editorial Board
    • The Journal

User menu

  • Register
  • Subscribe
  • My alerts
  • Log in
  • My Cart

Search

  • Advanced search
American Journal of Science
  • Register
  • Subscribe
  • My alerts
  • Log in
  • My Cart
American Journal of Science

Advanced Search

  • Home
  • Content
    • Current
    • Archive
    • Special Volumes and Special Issue
  • Subscriptions
    • Subscribers
    • Pricing
    • FAQ
    • Terms & Conditions for use of AJS Online
  • Instructions to Authors
  • Site Features
    • Alerts
    • Feedback
    • Usage Statistics
    • RSS
  • About Us
    • Editorial Board
    • The Journal
  • Follow ajs on Twitter
  • Visit ajs on Facebook
  • Follow ajs on Instagram
Research ArticleArticles

On Diffusion in Heterogeneous Media

Youxue Zhang and Liping Liu
American Journal of Science November 2012, 312 (9) 1028-1047; DOI: https://doi.org/10.2475/09.2012.03
Youxue Zhang
*Department of Earth and Environmental Sciences, the University of Michigan, Ann Arbor, Michigan 48109-1005, USA
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
  • For correspondence: youxue@umich.edu
Liping Liu
**Department of Mechanical Engineering, University of Houston, Houston, Texas 77004, USA
§Current address: Department of Mechanical Aerospace Engineering and Department of Mathematics, Rutgers University, New Jersey 08854
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
  • Article
  • Figures & Data
  • References
  • Info & Metrics
  • PDF
Loading

Abstract

Diffusion in heterogeneous solid media has been investigated for over forty years. However, the derived equations for bulk (or effective) diffusivity used similarity argument between diffusion and other physical properties such as electrical and thermal conductivity, and hence either implicitly or explicitly assumed that the concentrations are continuous across phase boundaries. That is, these derived relations, which have permeated through the literature and textbooks, can only be applied when the partition coefficients of the component between every pair of phases in the medium is 1, which is rarely the case. In this work, we include the effect of partitioning between different phases and present the method to derive the equations to relate bulk diffusivity to individual-phase diffusivities in heterogeneous media.

  • Diffusion
  • heterogeneous media
  • multi-mineral rocks
  • multi-phase media
  • composite materials
  • kinetics
  • porous rocks
View Full Text

This article requires a subscription to view the full text. If you have a subscription you may use the login form below to view the article. Access to this article can also be purchased.

Log in using your username and password

Forgot your user name or password?

Purchase access

You may purchase access to this article. This will require you to create an account if you don't already have one.
PreviousNext
Back to top

In this issue

American Journal of Science: 312 (9)
American Journal of Science
Vol. 312, Issue 9
1 Nov 2012
  • Table of Contents
  • Table of Contents (PDF)
  • About the Cover
  • Index by author
  • Ed Board (PDF)
Print
Download PDF
Article Alerts
Sign In to Email Alerts with your Email Address
Email Article

Thank you for your interest in spreading the word on American Journal of Science.

NOTE: We only request your email address so that the person you are recommending the page to knows that you wanted them to see it, and that it is not junk mail. We do not capture any email address.

Enter multiple addresses on separate lines or separate them with commas.
On Diffusion in Heterogeneous Media
(Your Name) has sent you a message from American Journal of Science
(Your Name) thought you would like to see the American Journal of Science web site.
CAPTCHA
This question is for testing whether or not you are a human visitor and to prevent automated spam submissions.
2 + 9 =
Solve this simple math problem and enter the result. E.g. for 1+3, enter 4.
Citation Tools
On Diffusion in Heterogeneous Media
Youxue Zhang, Liping Liu
American Journal of Science Nov 2012, 312 (9) 1028-1047; DOI: 10.2475/09.2012.03

Citation Manager Formats

  • BibTeX
  • Bookends
  • EasyBib
  • EndNote (tagged)
  • EndNote 8 (xml)
  • Medlars
  • Mendeley
  • Papers
  • RefWorks Tagged
  • Ref Manager
  • RIS
  • Zotero
Share
On Diffusion in Heterogeneous Media
Youxue Zhang, Liping Liu
American Journal of Science Nov 2012, 312 (9) 1028-1047; DOI: 10.2475/09.2012.03
del.icio.us logo Digg logo Reddit logo Twitter logo Facebook logo Google logo Mendeley logo
  • Tweet Widget
  • Facebook Like
  • Google Plus One

Jump to section

  • Article
    • Abstract
    • INTRODUCTION
    • DEFINITION OF BULK MOBILITY AND BULK DIFFUSIVITY, AND RELATIONS BETWEEN THEM
    • DIFFUSION IN A MULTIPHASE MEDIUM MADE OF DIFFUSIONALLY ISOTROPIC PHASES
    • DIFFUSION IN POROUS MEDIA AND TORTUOSITY
    • CONTRIBUTION OF GRAIN BOUNDARY DIFFUSION TO BULK DIFFUSION
    • EFFECTIVE DIFFUSIVITY OF ONE-PHASE POLYCRYSTALLINE MATERIAL
    • ACKNOWLEDGMENTS
    • APPENDIX 1
    • APPENDIX 2
    • APPENDIX 3
    • REFERENCES
  • Figures & Data
  • Info & Metrics
  • References
  • PDF

Related Articles

  • No related articles found.
  • Google Scholar

Cited By...

  • No citing articles found.
  • Google Scholar

More in this TOC Section

  • Timing and Nd-Hf isotopic mapping of early Mesozoic granitoids in the Qinling Orogen, central China: Implication for architecture, nature and processes of the orogen
  • India in the Nuna to Gondwana supercontinent cycles: Clues from the north Indian and Marwar Blocks
  • Unravelling the P-T-t history of three high-grade metamorphic events in the Epupa Complex, NW Namibia: Implications for the Paleoproterozoic to Mesoproterozoic evolution of the Congo Craton
Show more Articles

Similar Articles

Keywords

  • diffusion
  • heterogeneous media
  • multi-mineral rocks
  • multi-phase media
  • composite materials
  • kinetics
  • porous rocks

Navigate

  • Current Issue
  • Archive

More Information

  • RSS

Other Services

  • About Us

© 2022 American Journal of Science

Powered by HighWire