An inverse problem of Bilayer textile thickness determination in dynamic heat and moisture transfer

DOI10.1080/00036811.2013.835042zbMath1290.35337OpenAlexW1992250666MaRDI QIDQ5417851

Dinghua Xu, Lei Wen, Boxi Xu

Publication date: 22 May 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2013.835042

zbMATH Keywords

parabolic partial differential equationsinverse problemswell-posednessheat transfernumerical algorithmregularized solutionmoisture transferbilayer textile materialsthickness determination

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (8)

Reconstruction of inaccessible boundary value in a sideways parabolic problem with variable coefficients -- forward collocation with finite integration method ⋮ On the inverse problem of thermal conductivity determination in nonlinear heat and moisture transfer model within textiles ⋮ Inverse problems of textile material design based on clothing heat-moisture comfort ⋮ An inverse problem of triple-thickness parameters determination for thermal protective clothing with Stephan-Boltzmann interface conditions ⋮ Stability estimate for a nonlinear coupled heat transfer model ⋮ Mathematical modeling and inverse problem approaches for functional clothing design based on thermal mechanism ⋮ Weak solution to a Robin problem of anomalous diffusion equations: Uniqueness and stable algorithm for the TPC system ⋮ Variational formulation for a fractional heat transfer model in firefighter protective clothing

Cites Work

• Finite volume method for solving a one-dimensional parabolic inverse problem
• Optimal porosity distribution of fibrous insulation
• Heat and moisture transfer with sorption and condensation in porous clothing assemblies and numerical simulation
• Modeling heat and moisture transfer through fibrous insulation with phase change and mobile condensates
• Thickness determination in textile material design: dynamic modeling and numerical algorithms
• Unnamed Item

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