Micro-Channel Heat Sink is a heat exchanger which is used to control the temperature of electronic devices with high heat flux. A comprehensive thermal model for the micro-channels should include three dimensional conduction analysis in the solid body together with three dimensional developing fluid flow as well as heat transfer analyses in the fluid section. This paper reports on a research ...

This paper demonstrates the deterministic errors in thermocouple measurements, or bias, through numerical simulation and illustrates the impact of these erroneous measurements on inverse heat conduction problem solutions. The case of molten metal solidifying through cooling in a sand mold is considered. Artificial data for the sand surface temperature and at two different locations below the sa...

In this paper, the non-Fourier heat conduction in a semi-infinite body was examined. The heat wave non-Fourier heat conduction model was used for thermal analysis. Thermal conductivity was assumed temperature-dependent which resulted in a non-linear equation. The heat source was also considered temperature-dependent which resulted in a non-homogeneous equation. The Mac-Cormack predictor-correct...

The problem of fractional heat conduction in a composite medium consisting of a spherical inclusion ) 0 ( R r   and a matrix ) (    r R being in perfect thermal contact at R r  is considered. The heat conduction in each region is described by the time-fractional heat conduction equation with the Caputo derivative of fractional order 2 0   and , 2 0    respectively. The Laplace trans...

Micro-Channel Heat Sink is a heat exchanger which is used to control the temperature of electronic devices with high heat flux. A comprehensive thermal model for the micro-channels should include three dimensional conduction analysis in the solid body together with three dimensional developing fluid flow as well as heat transfer analyses in the fluid section. This paper reports on a research ...

In this paper the description of the simplest variant of conservative averaging method for partial differential (or integro-differential) equations in cylinder type domain is given. Different types of boundary conditions (both linear and non-linear) are considered. As application of the method the process of intensive steel quenching as the time inverse ill-posed problem for the hyperbolic heat...

An adjoint based functional optimization technique in conjunction with the spectral stochastic finite element method is proposed for the solution of an inverse heat conduction problem in the presence of uncertainties in material data, process conditions and measurement noise. The ill-posed stochastic inverse problem is restated as a conditionally well-posed L2 optimization problem. The gradient...

Generalized thermoelastic models have been developed with the aim of eliminating the contradiction in the infinite velocity of heat propagation inherent in the classical dynamical coupled thermoelasticity theory. In these generalized models, the basic equations include thermal relaxation times and they are of hyperbolic type. Furthermore, Tzou established the dual-phase-lag heat conduction theo...

We consider phononic heat transport through molecular chains connecting two thermal reservoirs. For relatively short molecules at normal temperatures we find, using classical stochastic simulations, that heat conduction is dominated by the harmonic part of the molecular force-field. We develop a general theory for the heat conduction through harmonic chains in three-dimensions. Our approach use...