0
Research Papers

Thermodynamically Constrained Averaging Theory Approach for Heat Transport in Single-Fluid-Phase Porous Medium Systems

[+] Author and Article Information
William G. Gray

Department of Environmental Sciences and Engineering, University of North Carolina, Chapel Hill, NC 27599-7431graywg@unc.edu

Cass T. Miller

Department of Environmental Sciences and Engineering, University of North Carolina, Chapel Hill, NC 27599-7431casey_miller@unc.edu

J. Heat Transfer 131(10), 101002 (Jul 28, 2009) (14 pages) doi:10.1115/1.3160539 History: Received September 09, 2008; Revised November 03, 2008; Published July 28, 2009

The recently developed thermodynamically constrained averaging theory is briefly summarized as a tool for the building of rigorous macroscale models of transport phenomena in complex systems. The specific case of thermal transport in a single-fluid-phase porous medium system is considered. Key results from the application of this theory are used to develop a simplified entropy inequality, which is in turn used to guide the development of closure relations. The decomposition of exchange terms is considered, and closed models for internal energy are derived for the case of nonequilibrium and local thermal equilibrium conditions. Since all variables are expressed in terms of precisely defined averages of microscale quantities, the resultant models can be compared with highly resolved microscale simulations to determine the range of validity of the upscaled models.

Copyright © 2009 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In