A modelling strategy for the prediction of both the scalar and the position-dependent thermal error components is presented. Two types of empirical modelling method based on the multiple regression analysis (MRA) and the artificial neural network (ANN) have been proposed for the reaLtime prediction of thermal errors with multiple temperature measurements. Both approaches have a systematic and c...

One of the first steps taken in any technological area is building a mathematical model. In fact, in the case of process control, modelling is a crucial aspect that influences quality control. Building a nonlinear model is a traditional problem. This paper illustrates how to built an accurate nonlinear model combining first principle modelling and a parametric identification, using Genetic Algo...

This article reviews the progress, challenges and opportunities in numerical modelling of thermal transport, thermochemical reactions and thermomechanics in high-temperature solar thermochemical systems. Continuum-scale models are presented in mathematical detail while highlighting the literature that uses them. The discussion is enhanced by selected examples of numerical studies of solar therm...

Mathematical modelling of welding phenomena is very complex: involving melt pool phenomena, solidification, weldability analysis, microstructure evolution in the heat affected zone, welding heat-flow simulation, electrical-thermal-mechanical simulation etc. Some interactions between these processes are included in Fig. 1. Each topic alone can be intellectually challenging and too hard to be inv...

─ A new functionality for the hybrid electromagnetic – thermodynamic simulations of microwave heating scenarios in the time domain is presented. The new functionality consists in the modelling of the heated load movement throughout the simulated process. Various types of the movement trajectories have been allowed for, including load rotation and load translation along user-defined piecewise-li...

This paper presents an approach to the modelling of transient thermal states in electronic circuits using an analytical solution of the heat equation. Fully three-dimensional analytical time dependent solutions are determined with the help of Green’s functions. The solution method is illustrated in detail on a practical example, where the results of transient thermal simulations of a real hybri...

Abstract. This paper focuses on the contribution of the second order corrector in periodic homogenization applied to a conductive-radiative heat transfer problem. Especially, for a heat conduction problem in a periodically perforated domain with a non-local boundary condition modelling the radiative heat transfer, if this model contains an oscillating thermal source and a thermal exchange with ...

We review our recent modelling work of carbon nanotubes as potential candidates for heat dissipation in microelectronics cooling. In the first part, we analyze the impact of nanotube defects on its thermal transport properties. In the second part, we investigate the loss of thermal properties of nanotubes in presence of an interface with various substances, including air and water. Comparison w...

A computer code ICARUS (Injuries CAused by Radiation Upon the Skin) has been developed for evaluating the time to second degree burn injury from thermal radiation. This paper introduces the modelling methodology incorporated in ICARUS and illustrates the validation of the code. It solves the heat transfer problem associated with simultaneous radiation, conduction and convection within a multila...