Flow through porous media: a momentum tracer approach

Flow through porous media: a momentum tracer approach The flow of a fluid through a spatially periodic porous medium is studied using the momentum tracer approach, that is by monitoring the temporal spread of an instantaneous source of momentum (the “momentum tracer”), following its initial introduction into the interstitial fluid. The fluid flow is described macroscopically by a Brinkman-like effective equation, containing three effective tensorial quantities, namely the permeability dyadic, the generalized viscosity tetradic and a coupling triadic term. These phenomenological coefficients are shown to be expressible in terms of the solution of the characteristic eigenvalue problem associated with the (tensorial) Stokes operator, defined within the interstitial region of a single unit cell of the periodic porous medium. The phenomenological coefficients are shown to be independent of the initial position of the momentum tracer as well as of the choice of weight function used in averaging the microscale momentum density over the unit cell. Finally, we show that the analytical expressions for the phenomenological coefficients identically satisfy the symmetry requirements that can be obtained by applying the reciprocal theorem at the macro-scale level. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Meccanica Springer Journals

Flow through porous media: a momentum tracer approach

Meccanica , Volume 52 (12) – Mar 9, 2017

Loading next page...
Springer Netherlands
Copyright © 2017 by Springer Science+Business Media Dordrecht
Physics; Classical Mechanics; Civil Engineering; Automotive Engineering; Mechanical Engineering
Publisher site
See Article on Publisher Site


You’re reading a free preview. Subscribe to read the entire article.

DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 12 million articles from more than
10,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Unlimited reading

Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.

Stay up to date

Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.

Organize your research

It’s easy to organize your research with our built-in tools.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

Monthly Plan

  • Read unlimited articles
  • Personalized recommendations
  • No expiration
  • Print 20 pages per month
  • 20% off on PDF purchases
  • Organize your research
  • Get updates on your journals and topic searches


Start Free Trial

14-day Free Trial

Best Deal — 39% off

Annual Plan

  • All the features of the Professional Plan, but for 39% off!
  • Billed annually
  • No expiration
  • For the normal price of 10 articles elsewhere, you get one full year of unlimited access to articles.



billed annually
Start Free Trial

14-day Free Trial