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. ...

in this research, the coupling between non-gray radiation and separation convection flow in a duct is investigated numerically. distributions of absorption coefficients across the spectrum  are obtained from the hitran2008 database. the full-spectrum k-distribution method is used to deal with the non-gray part of the problem, while the gray radiation calculations are performed using the planck ...

In this paper, a boundary integral method is used to solve an inverse linear heat conduction problem in two-dimensional bounded domain. An inverse problem of measuring the heat flux from partial (on part of the boundary) dynamic boundary measurements is considered. An algorithm is given by using the fundamental solution.

Heat conduction modelling ........................................................................................................................... 1 Case studies ........................................................................................................................................... 2 Analytical solutions.........................................................................

Heat conduction modelling ........................................................................................................................... 1 Case studies ........................................................................................................................................... 2 Analytical solutions.........................................................................

INTRODUCTION Pursuing a strategy of power density leadership, Fairchild Semiconductor has released a new power specific packaging technology, Dual Cool TM , to meet the rigors of escalating demand for more improved thermal management in electronics designs. This technology creates a direct heat path from both the drain and source sides of the vertical MOSFET die structure through the addition o...

In this paper, a new meshless numerical scheme for solving inverse heat conduction problem is proposed. The numerical scheme is developed by using the fundamental solution of heat equation as basis function and treating the entire space-time domain in a global sense. The standard Tikhonov regularization technique and L-curve method are adopted for solving the resultant ill-conditioned linear sy...

Estimation of the heat flux for a quenched solid tungsten sphere is demonstrated using a filter formulation. Even though the values of the thermal properties significantly change during quenching, nearly as accurate heat flux estimates as with a temperature-variable analyses are possible using the proposed filter method. The filter algorithm is very efficient for the repeated analyses of simila...