The determination temperature-dependent thermal conductivity as inverse steady heat conduction problem

DOI10.1016/j.ijheatmasstransfer.2010.10.024zbMath1209.80035OpenAlexW1992948925MaRDI QIDQ632530

Magdalena Mierzwiczak, Jan Adam Kołodziej

Publication date: 25 March 2011

Published in: International Journal of Heat and Mass Transfer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijheatmasstransfer.2010.10.024

zbMATH Keywords

inverse thermal conductivity problemsteady heat conduction problemthe golden section search

Mathematics Subject Classification ID

Optimization problems in thermodynamics and heat transfer (80M50) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items

The inverse determination of the thermal contact resistance components of unidirectionally reinforced composite ⋮ Application of meshless procedure for the peristaltic flow analysis ⋮ Existence, uniqueness and construction of the solution of the energy transfer problem in a rigid and non-convex blackbody with temperature-dependent thermal conductivity ⋮ Application of MFS for determination of effective thermal conductivity of unidirectional composites with linearly temperature dependent conductivity of constituents ⋮ An overview of the method of fundamental solutions -- solvability, uniqueness, convergence, and stability ⋮ Parameter estimation of temperature dependent material parameters in the cooling process of TMCP steel plates ⋮ Numerical identification of a nonlinear diffusion coefficient by discrete mollification ⋮ A modified coupled complex boundary method for an inverse chromatography problem ⋮ Analysis of Carreau fluid flow between corrugated plates ⋮ Stability estimate and regularization for a radially symmetric inverse heat conduction problem ⋮ Edge effects for heat flux in fibrous composites ⋮ Recovering a variable exponent ⋮ Many names of the Trefftz method ⋮ Solving an inverse heat convection problem with an implicit forward operator by using a projected quasi-Newton method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The method of fundamental solutions for the inverse heat source problem
• One-step GPS for the estimation of temperature-dependent thermal conductivity
• A meshless method for solving an inverse spacewise-dependent heat source problem
• Method of fundamental solutions with optimal regularization techniques for the Cauchy problem of the Laplace equation with singular points
• Identification of parameters in one-dimensional IHCP
• A method to determine the thermal conductivity from measured temperature profiles
• A linear inverse model for the temperature-dependent thermal conductivity determination in one-dimensional problems
• An inverse analysis to estimate linearly temperature dependent thermal conductivity components and heat capacity of an orthotropic medium
• Simultaneous estimations of temperature-dependent thermal conductivity and heat capacity
• Estimation of the temperature-dependent thermal conductivity in inverse heat conduction problems
• Non-iterative estimation of temperature-dependent thermal conductivity without internal measurements
• Determination of the temperature dependent thermophysical properties from temperature responses measured at medium's boundaries
• A two-dimensional inverse problem in imaging the thermal conductivity of a non-homogeneous medium
• Identification of parameters in the 2-D IHCP
• The determination of the thermal properties of a heat conductor in a nonlinear heat conduction problem
• Identification of the thermal conductivity and heat capacity in unsteady nonlinear heat conduction problems using the boundary element method
• A method of fundamental solutions for inverse heat conduction problems in an anisotropic medium
• Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators
• Hybrid Laplace transform technique for non-linear transient thermal problems
• Numerical solution of the Cauchy problem for steady-state heat transfer in two-dimensional functionally graded materials
• Application of grey prediction to inverse nonlinear heat conduction problem
• A fundamental solution method for inverse heat conduction problem
• Determination of the unknown coefficient \(k(u)\) in the equation \(\nabla\cdot k(u)\nabla u = 0\) from overspecified boundary data
• Note on using radial basis functions and Tikhonov regularization method to solve an inverse heat conduction problem
• The method of fundamental solutions for inverse source problems associated with the steady-state heat conduction
• An Inverse Problem for a Nonlinear Diffusion Equation
• The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
• The method of fundamental solutions for solving a Cauchy problem of Laplace's equation in a multi-connected domain
• The method of functional equations for the approximate solution of certain boundary value problems
• A method for the approximate solution of limiting problems in mathematical physics
• Determining Unknown Coefficients in a Nonlinear Heat Conduction Problem
• Reconstruction of thermal conductivity and heat capacity using a tomographic approach

This page was built for publication: The determination temperature-dependent thermal conductivity as inverse steady heat conduction problem