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In this chapter we consider different approximations for the one-dimensional one-phase Stefan problem corresponding to the fusion process of a semi-infinite material with a temperature boundary condition at the fixed face and non-linear…

Statistical Mechanics · Physics 2019-06-21 Julieta Bollati , María F. Natale , José A. Semitiel , Domingo A. Tarzia

The paper deals with an empirical validation of a building thermal model. We put the emphasis on sensitivity analysis and on research of inputs/residual correlation to improve our model. In this article, we apply a sensitivity analysis…

Data Analysis, Statistics and Probability · Physics 2012-12-24 Thierry Alex Mara , Harry Boyer , François Garde

A new framework of thermodynamic modeling is proposed by introducing the concept of differentiable programming, where all the thermodynamic observables including both thermochemical quantities and phase equilibria can be differentiated with…

Materials Science · Physics 2021-02-23 Pin-Wen Guan

The effects of MHD boundary layer flow of non-linear thermal radiation with convective heat transfer and non-uniform heat source/sink in presence of thermophortic velocity and chemical reaction investigated in this study. Suitable…

Fluid Dynamics · Physics 2017-02-08 Shalini Jain , Rakesh Choudhary

The last years saw a renewal of interest for hypersonic research in general and regenerative cooling specifically, with a large increase of the number of dedicated facilities and technical studies. In order to quantify the heat transfer in…

Modeling plasmas in terms of atoms or ions is theoretically appealing for several reasons. When it is relevant, the notion of atom or ion in a plasma provides us with an interpretation scheme of the plasma's microscopic structure. From the…

Plasma Physics · Physics 2024-12-18 Robin Piron

We consider a system of equations that model the temperature, electric potential and deformation of a thermoviscoelastic body. A typical application is a thermistor; an electrical component that can be used e.g. as a surge protector,…

Numerical Analysis · Mathematics 2018-04-09 Axel Målqvist , Tony Stillfjord

The paper presents an analytical theory quantitatively describing the heterogeneous combustion of nonvolatile (metal) particles in the diffusion-limited regime. It is assumed that the particle is suspended in an unconfined, isobaric,…

Fluid Dynamics · Physics 2025-02-11 Daoguan Ning , Andreas Dreizler

Accurate knowledge of temperatures in power semiconductor modules is crucial for proper thermal management of such devices. Precise prediction of temperatures allows to operate the system at the physical limit of the device avoiding…

Signal Processing · Electrical Eng. & Systems 2020-06-15 Jakub Ševčík , Václav Šmídl , Ondřej Straka

The ferromagnetic nano-structures are recently of great interest for modern investigations. A comparison of the experimental data and theoretical results shows that the use of the standard molecular field approximation is insufficient for…

Materials Science · Physics 2009-01-12 I. Zasada , B. Busiakiewicz

At elevated temperature environments, elastic structures experience a change of the stress-free state of the body that can strongly influence the optimal topology of the structure. This work presents level-set based topology optimization of…

Computational Engineering, Finance, and Science · Computer Science 2020-02-19 Hayoung Chung , Oded Amir , H. Alicia Kim

The article contains calculation of the efficiency of the ideal thermomagnetic engine whose working body is ferromagnetic has been suggested. Suggested method being applicable to any heat engine operating on the basis of structural phase…

Other Condensed Matter · Physics 2012-06-12 A. G. Kvirikadze , M. D. Zviadadze , V. A. Barnov , G. G. Kiknadze , L. A. Zamtaradze

The thermal and mechanical behaviors of powders are important for various additive manufacturing technologies. For powder bed fusion, capturing the temperature profile and the packing structure of the powders prior to melting is challenging…

Soft Condensed Matter · Physics 2024-02-26 Sudeshna Roy , Hongyi Xiao , Vasileios Angelidakis , Thorsten Pöschel

This work presents a rigorous prediction of the effective equations governing the paramagnetic-ferromagnetic phase transition in a perforated three-dimensional body. Assuming a periodic distribution of perforations, we investigate the…

Analysis of PDEs · Mathematics 2025-08-29 Catherine Choquet , Mohamed Ouhadan , Mouhcine Tilioua

Thermally aware design of 2.5D and 3D advanced packaging systems will require fast, accurate, and powerful thermal analysis of chiplets, stacks, and packages. These systems contain multiple materials with non-linear heat transfer properties…

Fourier solvers have become efficient tools to establish structure-property relations in heterogeneous materials. Introduced as an alternative to the Finite Element (FE) method, they are based on fixed-point solutions of the…

Computational Physics · Physics 2017-09-01 Jan Zeman , Tom W. J. de Geus , Jaroslav Vondřejc , Ron H. J. Peerlings , Marc G. D. Geers

In this series of papers we shall carry out a reconsideration of the thermodynamical behavior of the called HMF model, a paradigmatic ferromagnetic toy model exhibiting many features of the real long-range interacting systems. This first…

Statistical Mechanics · Physics 2009-10-16 L. Velazquez , F. Guzman

We study thermodynamic processes in contact with a heat bath that may have an arbitrary time-varying periodic temperature profile. Within the framework of stochastic thermodynamics, and for models of thermo-dynamic engines in the idealized…

Optimization and Control · Mathematics 2022-04-06 Olga Movilla Miangolarra , Rui Fu , Amirhossein Taghvaei , Yongxin Chen , Tryphon T. Georgiou

In this paper, we survey our recent results on the variational formulation of nonequilibrium thermodynamics for the finite dimensional case of discrete systems as well as for the infinite dimensional case of continuum systems. Starting with…

Mathematical Physics · Physics 2019-04-09 François Gay-Balmaz , Hiroaki Yoshimura

The paper concerns the dependence of thermomechanical properties of three-dimensional solid nanoclusters on the cluster size as well as on its shape. Investigations are restricted to the class of so-called homogeneous thermodynamic…

Materials Science · Physics 2010-03-17 Andrzej Trzesowski