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This paper is divided into three parts. The first part focuses on periodic layer heat potentials, demonstrating their smooth dependence on regular perturbations of the support of integration. In the second part, we present an application of…

Analysis of PDEs · Mathematics 2023-11-30 Matteo Dalla Riva , Paolo Luzzini , Riccardo Molinarolo , Paolo Musolino

Inverse problems of recovering heat transfer coefficient from integral measurements are considered. The heat transfer coefficient occurs in the transmission conditions of imperfect contact type or the Robin type boundary conditions. It is…

Analysis of PDEs · Mathematics 2024-01-04 Sergey Grigorievich Pyatkov

The aim of this article is to discuss the estimation of the diffusivity coefficient of a homogeneous metal rod from temperature values at a fixed point in the bar for different time instants. The time-dependent problem of heat conduction is…

Numerical Analysis · Mathematics 2024-04-22 Guillermo Federico Umbricht , Diana Rubio

An accurate and comprehensive numerical solution to the parabolic free boundary problem arising from thin film flow with both velocity and temperature distribution at large Reynolds numbers is obtained using a modified Keller box method. A…

Fluid Dynamics · Physics 2024-08-20 Jian-Jun Shu , Graham Wilks

In this work, we report the thermal characterization of platelike composite samples made of polyester resin and magnetite inclusions. By means of photoacoustic spectroscopy and thermal relaxation, the thermal diffusivity, conductivity and…

Materials Science · Physics 2014-08-19 F. Cervantes-Álvarez , J. J. Reyes-Salgado , V. Dossetti , J. L. Carrillo

A good understanding of the heat transfer in fused filament fabrication is crucial for an accurate stress prediction and subsequently for repetitive, high quality printing. This work focuses on two challenges that have been presented when…

Numerical Analysis · Mathematics 2023-05-09 Nathalie Ramos , Christoph Mittermeier , Josef Kiendl

The flexible profile approach proposed earlier to create CTM (compact or reduced order thermal models) is extended to cover the area of conjugate heat transfer. The flexible profile approach is a methodology that allows building a highly…

General Physics · Physics 2008-01-08 M. -N. Sabry

In order to improve the presently used ad hoc flux limiter treatment of parallel heat flux transport in edge plasma fluid codes we consider here a generalized version of the Fourier law implementing a non-local kernel for the heat flux…

The recently established connection between stochastic thermodynamics and fluctuating hydrodynamics is applied to a study of efficiencies in the coupled transport of heat and matter on a small scale. A stochastic model for a mesoscopic cell…

Statistical Mechanics · Physics 2019-04-01 Jean-François Derivaux , Yannick De Decker

We investigate the stationary nonequilibrium states of a quasi one-dimensional system of heavy particles whose interaction is mediated by purely elastic collisions with light particles, in contact at the boundary with two heat baths with…

Statistical Mechanics · Physics 2009-11-10 Christian Gruber , Annick Lesne

Presented here is a nanowire model, consisting of coupled elastic membranes with the purpose of investigating thermal transport in quasi-one-dimensional quantum systems. The vibrations of each elastic membrane are quantized and the flow of…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Julian A Lawn , Daniel S Kosov

Many computational studies on hotspot microfluidic cooling devices found in the literature rely on simplified assumptions and conventions that do not capture the full complexity of the conjugate thermal problem, such as constant…

Fluid Dynamics · Physics 2024-05-09 L. G. Chej , A. G. Monastra , M. F. Carusela

The modelling of quantum heat transfer processes at the nanoscale is crucial for the development of energy harvesting and molecular electronics devices. Herein, we adopt a mixed quantum-classical description of a device, in which the open…

Chemical Physics · Physics 2018-12-12 Junjie Liu , Chang-Yu Hsieh , Dvira Segal , Gabriel Hanna

In this paper, we study the heat equation with an irregular spatially dependent thermal conductivity coefficient. We prove that it has a solution in an appropriate very weak sense. Moreover, the uniqueness result and consistency with the…

Analysis of PDEs · Mathematics 2023-02-21 Michael Ruzhansky , Mohammed Elamine Sebih , Niyaz Tokmagambetov

This article presents a computational study of saturated flow boiling in non-circular microchannels. The unit channel of a multi-microchannel evaporator, consisting of the fluidic channel and surrounding evaporator walls, is emulated and…

Fluid Dynamics · Physics 2022-03-18 F. Municchi , I. El Mellas , O. K. Matar , M. Magnini

In this paper we study macroscopic thermodynamic properties of a stochastic microscopic heat conduction model that is reduced from deterministic problems. Our goal is to numerically check how the `low energy site effect' inherited from the…

Mathematical Physics · Physics 2019-05-22 Yao Li , Wenbo Xie

In this paper, we propose and analyze a new semi-implicit stochastic multiscale method for the radiative heat transfer problem with additive noise fluctuation in composite materials. In the proposed method, the strong nonlinearity term…

Numerical Analysis · Mathematics 2026-05-12 Shan Zhang , Yajun Wang , Xiaofei Guan

We introduce a new class of mesoscopic heat engines consisting of a tunnel junction coupled to a linear thermal bath. Work is produced by transporting electrons up against a voltage bias like in ordinary thermoelectrics but heat is…

Mesoscale and Nanoscale Physics · Physics 2012-08-01 Tomi Ruokola , Teemu Ojanen

Characterizing the connection between material design decisions/parameters and their effective properties allows for accelerated materials development and optimization. We present a global sensitivity analysis of woven composite…

Computational Engineering, Finance, and Science · Computer Science 2021-04-29 Lincoln N. Collins , Scott A. Roberts

We investigate the properties of a harmonic chain in contact with a thermal bath at one end and subjected, at its other end, to a periodic force. The particles also undergo a random velocity reversal action, which results in a finite heat…

Mathematical Physics · Physics 2023-03-01 Tomasz Komorowski , Joel L. Lebowitz , Stefano Olla
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