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We simulate convection near the solar surface, where the continuum optical depth is of order unity. Hence, to determine the radiative heating and cooling in the energy conservation equation, we must solve the radiative transfer equation…

Astrophysics · Physics 2007-05-23 Robert Stein , Aake Nordlund

Application of finite element method and heat conductivity transfer model for calculation of temperature distribution in receiver for dish-Stirling concentrating solar system is described. The method yields discretized equations that are…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Stanko Shtrakov , Anton Stoilov

Heat exchangers are critical components in a wide range of engineering applications, from energy systems to chemical processing, where efficient thermal management is essential. The design objectives for heat exchangers include maximizing…

Optimization and Control · Mathematics 2025-05-20 Weizheng Zhang , Hao Pan , Lin Lu , Xiaowei Duan , Xin Yan , Ruonan Wang , Qiang Du

Heat transfer in the human eyeball, a complex organ, is significantly influenced by various pathophysiological and external parameters. Particularly, heat transfer critically affects fluid behavior within the eye and ocular drug delivery…

Analysis of PDEs · Mathematics 2024-10-14 Thomas Saigre , Christophe Prud'Homme , Marcela Szopos

The thermal management of an outdoor electronic enclosure can be quite challenging due to the additional thermal load from the sun and the requirement of having an air-sealed enclosure. It is essential to consider the effect of solar…

General Physics · Physics 2008-01-08 Mahendra Wankhede , V. Khaire , A. Goswami , S. D. Mahajan

Considering high-temperature heating, the equations of transient heat conduction model require an adaptation, i.e. the dependence of thermophysical parameters of the model on the temperature is to be identified for each specific material to…

Systems and Control · Electrical Eng. & Systems 2022-07-04 Zhukov Petr , Glushchenko Anton , Fomin Andrey

A heat conduction problem is studied using extended hydrodynamic equations obtained from Enskog's equation for a simple case of two planar systems in contact through a porous wall. One of the systems is in equilibrium and the other one in a…

Statistical Mechanics · Physics 2009-11-11 Hideaki Ugawa

An accurate analysis of the conduction heat transfer in a cryogenic flask is made and some useful formulae are derived. Taking into account the temperature dependence of conductivity and tensile strength of the supporting rods for a helium…

Materials Science · Physics 2009-02-25 Sever Spanulescu

This paper addresses the set-point control problem of a heat equation with in-domain actuation. The proposed scheme is based on the framework of zero dynamics inverse combined with flat system control. Moreover, the set-point control is…

Optimization and Control · Mathematics 2015-11-03 Jun Zheng , Guchuan Zhu

Thermal properties of a two-layered composite conductor are modified in case the interface is damaged. The present paper deals with nondestructive evaluation of perturbations of interface thermal conductance due to the presence of defects.…

Mathematical Physics · Physics 2026-05-13 Gabriele Inglese , Raffaele Inglese

We develop an effective medium model of thermal conductivity that accounts for both percolation and interface scattering. This model accurately explains the measured increase and decrease of thermal conductivity with loading in composites…

Mesoscale and Nanoscale Physics · Physics 2016-10-06 Brian A. Slovick , Srini Krishnamurthy

The heat equation is considered in the complex system consisting of many small bodies (particles) embedded in a given material. On the surfaces of the small bodies a Newton-type boundary condition is imposed. An equation for the limiting…

Analysis of PDEs · Mathematics 2012-07-04 A. G. Ramm

Heat transfer in semiconductor devices is dominated by chip and substrate assemblies, where heat generated within a finite chip layer dissipates into a semi-infinite substrate with much higher thermophysical properties. This mismatch…

Machine Learning · Computer Science 2025-12-03 Wenhao Sha , Tienchong Chang

The large-scale integration of flexible heating systems in the European electricity market leads to a substantial increase of transportation requirements and consecutively grid congestions in the continental transmission grid. Novel model…

Systems and Control · Electrical Eng. & Systems 2023-10-25 David Kröger , Milijana Teodosic , Christian Rehtanz

A 3D thermoelectric numerical model is used to investigate different internal heat loss mechanisms for a thermoelectric generator with bismuth telluride p- and n-legs. The model considers all thermoelectric effects, temperature dependent…

Materials Science · Physics 2014-09-25 R. Bjørk , D. V. Christensen , D. Eriksen , N. Pryds

Asymmetric heat transfer systems, often referred to as thermal diodes or thermal rectifiers, have garnered increasing interest due to their wide range of application possibilities. Most of those previous macroscopic thermal diodes either…

Applied Physics · Physics 2022-09-09 Yishu Su , Ying Li , Minghong Qi , Sebastien Guenneau , Huagen Li , Jian Xiong

A theory is developed to describe the coupled transport of energy and charge in networks of electron donor-acceptor sites which are seated in a thermally heterogeneous environment, where the transfer kinetics are dominated by Marcus-type…

Mesoscale and Nanoscale Physics · Physics 2019-08-02 Galen T. Craven , Abraham Nitzan

The problem of heat conduction in one-dimensional piecewise homogeneous composite materials is examined by providing an explicit solution of the one-dimensional heat equation in each domain. The location of the interfaces is known, but…

Numerical Analysis · Mathematics 2016-12-23 Natalie E. Sheils

A method to calculate the statistics of energy exchange between quantum systems is presented. The generating function of this statistics is expressed through a Keldysh path integral. The method is first applied to the problem of heat…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Kindermann , S. Pilgram

In this paper thermal conductivity and thermal diffusivity of a two layer system is examined from the theoretical point of view. We use the one dimensional heat diffusion equation with the appropriate solution in each layer and boundary…

Condensed Matter · Physics 2009-10-28 G. Gonzalez de la Cruz , Yu. G. Gurevich
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