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On the inverse problem of thermal conductivity determination in nonlinear heat and moisture transfer model within textiles

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  • Yu, Yue
  • Xu, Dinghua

Abstract

This paper focuses on an inverse problem of textile thermal conductivity determination (IPTCD) based on the nonlinear heat and moisture transfer model under low temperature. The conditional well-posedness of the analytical solution and the stability for numerical solution to the inverse problem of determining the left boundary value (IPLB) are derived respectively. The mathematical formulation of IPTCD is presented and deduced to an optimization problem with least squares. By means of Parametrized Fibonacci (PF) search method and Genetic Algorithm (GA), the approximate solution to the IPTCD is numerically obtained.

Suggested Citation

  • Yu, Yue & Xu, Dinghua, 2015. "On the inverse problem of thermal conductivity determination in nonlinear heat and moisture transfer model within textiles," Applied Mathematics and Computation, Elsevier, vol. 264(C), pages 284-299.
    • Handle: RePEc:eee:apmaco:v:264:y:2015:i:c:p:284-299
    DOI: 10.1016/j.amc.2015.04.084
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    Cited by:

    1. Zálešák, Martin & Klimeš, Lubomír & Charvát, Pavel & Cabalka, Matouš & Kůdela, Jakub & Mauder, Tomáš, 2023. "Solution approaches to inverse heat transfer problems with and without phase changes: A state-of-the-art review," Energy, Elsevier, vol. 278(PB).
    2. Alpar, Sultan & Rysbaiuly, Bolatbek, 2023. "Determination of thermophysical characteristics in a nonlinear inverse heat transfer problem," Applied Mathematics and Computation, Elsevier, vol. 440(C).
    3. Salva, N.N. & Tarzia, D.A., 2024. "Relationship between two solidification problems in order to determine unknown thermal coefficients when the heat transfer coefficient is very large," Applied Mathematics and Computation, Elsevier, vol. 468(C).

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