Review of computational schemes in inverse heat conduction problems

CW Chang, CH Liu, CC Wang - Smart Science, 2018 - Taylor & Francis
This paper aims to present a review of the current computational methods and applications
of inverse heat conduction problems (IHCPs) in different fields. Generally speaking, there …

Estimation metrics and optimal regularization in a Tikhonov digital filter for the inverse heat conduction problem

KA Woodbury, JV Beck - International Journal of Heat and Mass Transfer, 2013 - Elsevier
Tikhonov regularization for the inverse heat conduction problem (IHCP) is considered a
“whole domain” or “batch” method, meaning that observations are needed over the entire …

Evaluation of generalized polynomial function specification methods

F Samadi, KA Woodbury, JV Beck - International Journal of Heat and Mass …, 2018 - Elsevier
The sequential function specification method (SFSM) for solution of the inverse heat
conduction problem was introduced by Beck (1968)[1], and described in more detail [2] in …

Estimating thermal efficiency of a self-developed capacitor discharge welding equipment through nonlinear function specification method

FS Faria, RGD da Silva, M de Melo Antunes - International Journal of …, 2025 - Elsevier
This study presents a thermal analysis using a self-developed capacitor discharge welding
equipment. The addressed process involves a rapid welding of the hot junction of a K-type …

Estimation of a location-and time-dependent high-magnitude heat flux in a heat conduction problem using the Kalman filter and the approximation error model

CC Pacheco, HRB Orlande, MJ Colaço… - … Heat Transfer, Part A …, 2015 - Taylor & Francis
This paper aims to estimate a location-and time-dependent high-magnitude heat flux in a
heat conduction problem. The heat flux is applied on a small region of a surface of a flat …

Solving stationary inverse heat conduction in a thin plate

J Chepkorir, F Berntsson, V Kozlov - Partial Differential Equations and …, 2023 - Springer
We consider a steady state heat conduction problem in a thin plate. In the application, it is
used to connect two cylindrical containers and fix their relative positions. At the same time it …

Determination of optimal parameters for the immune algorithm used for solving inverse heat conduction problems with and without a phase change

E Hetmaniok, I Nowak, D Słota… - Numerical Heat Transfer …, 2012 - Taylor & Francis
In this article the inverse heat conduction problem and the inverse Stefan problem with the
third kind of boundary condition are solved by applying the immune algorithm. This method …

[HTML][HTML] Heat transfer error analysis of high-temperature wall temperature measurement using thermocouple

Z Kou, R Wu, Q Wang, B Li, C Li, X Yin - Case Studies in Thermal …, 2024 - Elsevier
Thermocouples are widely employed as the temperature measuring element for an aero-
engine. However, due to the unique characteristics of the aero-engine test environment …

Estimation of slab surface radiative emissivities by solving an inverse coupled conduction, convection, and radiation problem

M Cui, L Zhou, J Mei, B Zhang - Numerical Heat Transfer, Part A …, 2017 - Taylor & Francis
Slab surface radiative emissivities severely affect the radiative heat transfer in a reheating
furnace, as well as the slabs' coupled conduction, convection, and radiation. Accurate …

[HTML][HTML] Estimation of surface temperatures from interior measurements using Tikhonov regularization

JP Ngendahayo, J Niyobuhungiro… - Results in Applied …, 2021 - Elsevier
In many industrial applications, such as in the steel industry, it is important to monitor the
surface temperature, and also heating or cooling rates, during an industrial process …