People experiences heat propagation since ancient times. The mathematical foundations of this phenomenon were established nearly two centuries ago with the early works of Fourier [Fourier, 1952]. During this time the equations describing the conduction of heat in solids have proved to be powerful tools for analyzing not only the transfer of heat, but also an enormous array of diffusion-like pro...

we develop and apply the product integration method to a large class of linear weakly singular volterra systems. we show that under certain sufficient conditions this method converges. numerical implementation of the method is illustrated by a benchmark problem originated from heat conduction.

We study heat conduction in one-dimensional granular gases. In particular, we consider two mechanisms of viscous dissipation during intergrain collisions. In one, the dissipative force is proportional to the grain's velocity and dissipates not only energy but also momentum. In the other, the dissipative force is proportional to the relative velocity of the grains and therefore conserves momentu...

In order to manage the outdoor thermal environment with regard to human health and the environmental impact of waste heat, quantitative evaluations are indispensable. It is necessary to use a thermal environment evaluation index. The purpose of this paper is to clarify the relationship between the psychological thermal responses of the human body and winter outdoor thermal environment variables...

thermal resistance of the external walls of buildings is highly important for reducing and optimizing the energy consumption needed for heating and cooling the buildings. identifying and evaluation of the thermal performance of common external wall systems can be very effective in improving the heat resistance. the hollow clay- block system extremely are in use in the iran construction system, ...

The paper presents a hybrid-Trefftz element approach for the numerical solution of transient linear heat conduction problems. In the proposed method, the transient heat conduction equation is first discretized with respect to time and then the resulting set of elliptic equations is solved by the corresponding time independent hybrid Trefftz element approach. At the end of the paper, the propose...

The spectral formulation of the stochastic nite element method (SSFEM) is applied to the problem of heat conduction in a random medium. Speciically, the conductivity of the medium, as well as its heat capacity are treated as uncorrelated random processes with spatial random uctuations. The paper introduces the basic concepts of the SSFEM using a simple one-dimensional heat conduction examples. ...

A packed bed thermal storage has several desirable characteristics to be used for energy storage. The behavior of packed bed is predicted by set of differential equations. A numerical solution is developed for packed bed storage tank accounting to the secondary phenomena of thermal losses and conduction effect. The effect of heat loss to surrounding (K1), conduction effect (K2) and air capacita...