A linear inverse model for the temperature-dependent thermal conductivity determination in one-dimensional problems

DOI10.1016/S0307-904X(97)00101-7zbMath0913.73011OpenAlexW2086617422MaRDI QIDQ1267156

Ching-Yu Yang

Publication date: 6 October 1998

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0307-904x(97)00101-7

zbMATH Keywords

approximated model of heat equationlinear domainthick slab

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15)

Related Items

Determination of specific heat with a simple inverse approach ⋮ The determination temperature-dependent thermal conductivity as inverse steady heat conduction problem ⋮ Application of MFS for determination of effective thermal conductivity of unidirectional composites with linearly temperature dependent conductivity of constituents ⋮ Application of grey prediction to inverse nonlinear heat conduction problem ⋮ Inverse solutions of temperature, heat flux and heat source by the Green element method ⋮ Estimation of the temperature-dependent thermal conductivity in inverse heat conduction problems

Uses Software

• IMSL Numerical Libraries

Cites Work

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• A general optimization method using adjoint equation for solving multidimensional inverse heat conduction
• A method to determine the thermal conductivity from measured temperature profiles
• Solving the two-dimensional inverse heat source problem through the linear least-squares error method
• Hybrid Laplace transform technique for non-linear transient thermal problems
• The Inverse Problem in Transient Heat Conduction