350
Views
13
CrossRef citations to date
0
Altmetric
Original Articles

Inverse problem in a porous medium: estimation of effective thermal properties

, , , , , & show all
Pages 581-593 | Received 14 May 2004, Accepted 18 Feb 2005, Published online: 22 Aug 2006

  • Mejias, MM, Orlande, HRB, and Ozisik, MN, 1999. "A comparison of different parameter estimation techniques for the identification of thermal conductivity components of orthotropic solids". In: In: Proceeding of the 3rd Int. Conference on inverse Problems in Engineering. WA, USA. 1999.
  • Hahne, E, Song, YW, and Gross, U, 1991. "Measurements of thermal conductivity in porous media". In: Convective Heat and Mass Transfer in Porous Media. Netherlands. 1991. pp. 849–865.
  • Coment, E, Fudym, O, Ladevie, B, Batsale, JC, and Santander, R, 2004. Extension of the hot wire method to the characterization of stratified soils with multiple temperature analysis, Inverse Problems in Science and Engineering 12 (5) (2004), pp. 485–499.
  • Yang, C-Y, 2000. Determination of the temperature dependent thermophysical properties from temperature responses measured at medium's boundaries, International Journal of Heat and Mass Transfer 43 (2000), pp. 1261–1270.
  • Sawaf, B, Ozisik, MN, and Jarny, Y, 1995. An inverse analysis to estimate linearly temperature dependent thermal conductivity components and heat capacity of an orthotropic medium, International Journal of Heat and Mass Transfer 38 (16) (1995), pp. 3005–3010.
  • Ozisik, MN, and Orlande, HRB, 1999. Inverse Heat Transfer: Fundamentals and Applications. Pennsylvania. 1999.
  • Colaço, MJ, and Orlande, HRB, 1999. Comparison of different versions of the conjugate gradient method of function estimation, Numerical of Heat Transfer 36 (1999), pp. 229–249, Part A.
  • Levenberg, K, 1944. A Method for the solution of certain non-linear problems in least squares, Quarterly of Applied Mathematics 2 (1944), pp. 164–168.
  • Marquardt, DW, 1963. An algorithm for least squares estimation of nonlinear parameters, Journal of Social Industrial Applied Mathematics 11 (1963), pp. 431–441.
  • Beck, JV, and Arnold, K, 1977. Parameter Estimation in Engineering and Science. New York. 1977.
  • Huang, C-H, and Yeh, C-Y, 2002. An inverse problem in simultaneous estimating the Biot numbers of heat and moisture transfer for a porous material, International Journal of Heat and Mass Transfer 45 (2002), pp. 4643–4653.
  • Blackwell, JH, 1954. A transient flow method of determination of thermal constants of insulating materials in bulk, Part I – theory, Journal of Applied Physics 25 (2) (1954), pp. 137–144.
  • Baklouti, M, and Laurent, A, 1997. Effective thermal conductivity measurements by the transient hot-wire method: investigation of the interpretation procedure of experimental data, High Temperatures-High Pressure 29 (1997), pp. 295–307.
  • Patankar, SV, 1980. Numerical Heat Transfer and Fluid Flow. New York. 1980.
  • Raynaud, M, 1999. Strategy for experimental design and the estimation of parameters, High Temperatures-High Pressure 31 (1999), pp. 1–15.
  • Taktak, R, Beck, JV, and Scott, EP, 1993. Optimal experimental design for estimating thermal properties of composite materials, International Journal of Heat and Mass Transfer 36 (12) (1993), pp. 2977–2986.
  • Emery, AF, and Nenarkomov, AV, 1998. Optimal experiment design, Measurment of Scientific Technology 9 (1998), pp. 864–876.
  • Bernaerts, K, Servaes, RD, Kooyman, S, Versyck, KJ, and Van Impe, JF, 2002. Optimal temperature input design for estimation of the Square Root model parameters: parameter accuracy end model validity restrictions, International Journal of Food Microbiology 73 (2002), pp. 145–157.
  • Mzali, F, Sassi, L, Jemni, A, and Ben Nasrallah, S, 2004. Optimal experiment design for the identification of thermo-physical properties of orthotropic solids, Inverse Problems in Science and Engineering 12 (2) (2004), pp. 193–209.
  • Asprey, SP, and Macchietto, S, 2002. Designing robust optimal dynamic experiments, Journal of Process Control 12 (2002), pp. 545–556.
  • Hamming, RW, 1973. Numerical Methods for Scientists and Engineers. New York. 1973, Chap. 8.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.