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Sensitivity Coefficients for Analyzing Interstitial Properties During Phase Change in Porous Media

[+] Author Affiliations
A. G. Agwa Nnanna

Purdue University-Calumet

A. Haji-Sheikh

University of Texas at Arlington

Paper No. IMECE2004-59369, pp. 249-258; 10 pages
doi:10.1115/IMECE2004-59369
From:
  • ASME 2004 International Mechanical Engineering Congress and Exposition
  • Heat Transfer, Volume 3
  • Anaheim, California, USA, November 13 – 19, 2004
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 0-7918-4711-X | eISBN: 0-7918-4178-2, 0-7918-4179-0, 0-7918-4180-4
  • Copyright © 2004 by ASME

abstract

The sensitivity coefficients for analyzing the interstitial properties during phase change in porous media are presented. Computation of the sensitivity coefficients is the main objective of this study. Experimentally measured temperature data provide an estimate of the phase front locations used as the state variable for this study. The derivations are based on the assumption that the phase front, X, at a given time, t, is a function of interstitial properties τt and τq with all other parameters remaining constant. The properties τt and τq are the lag-time in temperature and heat flux, respectively. The analysis includes two types of boundary conditions: prescribed temperature of phase change materials and prescribed temperature for solid matrix. Results for the first case show that for any given ratio τtq , the sensitivity coefficient decreases asymptotically to zero at large times. Furthermore, the sum of the sensitivity coefficients St + Sq = 0 when τtq ≈ 1. This is significant information because the variables St and Sq have the same magnitude with opposite signs. This implies that these two sensitivity coefficients become linearly dependent and it will be difficult to predict the values of τt and τq in the neighborhood of τtq ≈ 1. A similar trend but with different sensitivity values are reported for the second case.

Copyright © 2004 by ASME

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