– We study heat conduction in one dimensional (1D) anharmonic lattices analytically and numerically by using an effective phonon theory. It is found that every effective phonon mode oscillates quasi-periodically. By weighting the power spectrum of the total heat flux in the Debye formula, we obtain a unified formalism that can explain anomalous heat conduction in momentum conserved lattices wit...

Abstract The present work considers a two-dimensional (2D) heat conduction problem in the semi-infinite domain based on classical Fourier model and other non-Fourier models, e.g., Maxwell–Cattaneo–Vernotte (MCV) equation, parabolic, hyperbolic, modified hyperbolic dual-phase-lag (DPL) equations. Using integral transform technique, Laplace, transforms, we provide solution of (Green’s function) L...

abstract:a mathematical model for the performance prediction of an industrial glass furnace with six ports on each side was developed. this model comprises of two main sub-models for the combustion chamber and glass-melting tank. the first sub-model consists of the models for the combustion and the heat transfer model including, radiation, convection and conduction. the fuel combustion in atmos...

The control of heat conduction through the manipulation of phonons as coherent waves in solids is of fundamental interest and could also be exploited in applications, but coherent heat conduction has not been experimentally confirmed. We report the experimental observation of coherent heat conduction through the use of finite-thickness superlattices with varying numbers of periods. The measured...

We study networks of interacting oscillators, driven at the boundary by heat baths at possibly different temperatures. A set of first elementary questions are discussed concerning the uniqueness of a stationary possibly Gibbsian density and the nature of the entropy production and the local heat currents. We also derive a Carnot efficiency relation for the work that can be extracted from the he...

Whereas in electrical discharge machining (EDM) the heat flux entering the workpiece is extremely high, the Fourier heat conduction model may fails. This article reports on determination of temperature distribution in the workpiece due to EDM using non-Fourier heat conduction model. Equations are solved by deriving the numerical solution. The temperature layers and profiles of sample calculatio...

Effect of a crystalline-amorphous interface on heat conduction has been studied using atomistic simulations of a silicon system. System with amorphous silicon was created using the bond-switching Monte Carlo simulation method and heat conduction near room temperature was studied by molecular dynamics simulations of this system. INTRODUCTION As the sizes of electronic devices decrease an increas...

Starting from the basic equations of solids we have shown one possible construction of the modification method of the law of heat conduction. Based on this method the steps of development can be outlined, the sequence and role of the tasks can be established. As an additional result we managed to highlight some aspects of the cognitive process, which emerge in the course of natural scientific r...

In the heat conduction problems if the heat flux and/or temperature histories at the surface of a solid body are known as functions of time, then the temperature distribution can be found. This is termed as a direct problem. However in many heat transfer situations, the surface heat flux and temperature histories must be determined from transient temperature measurements at one or more interior...