A complex variable boundary element method is proposed for solving numerically the axisymmetric steady-state problem of heat conduction in a nonhomogeneous isotropic solid. To assess the validity and the accuracy of the method, it is applied to solve specific cases of the problem. The numerical solutions obtained agree well with known solutions.

We introduce a quantum stochastic dynamics for heat conduction. A multi-level subsystem is coupled to reservoirs at different temperatures. Energy quanta are detected in the reservoirs allowing the study of steady state fluctuations of the entropy production. Our main result states a symmetry in its large deviation rate function.

Hydrodynamic model simulations of a steady-state electron shock wave in a 1-pm Si semiconductor device at 77 K are compared with a Monte Carlo simulation of the Boltzmann equation using the DAMOCLES program. Excellent agreement between the two different methods for simulating the electron shock wave can be obtained by adjusting the amount of heat conduction in the hydrodynamic model.

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...

nanofluids are gaining much importance over the past decade due to their enhanced thermal conductivity, specific heat, cooling capacity, electrical conductivities. novel properties of nanofluids are yet to be explored to the highest potential applications. one of the prominent applications of nanofluids is in thermal conduction. the presence of nanoparticle in a fluid can enhance the thermal co...

a theoretical solution is presented for the forced convection heat transfer of a viscoelastic fluid obeying the giesekus constitutive equation in a concentric annulus under steady state, laminar, and purely tangential flow. a relative rotational motion exists between the inner and the outer cylinders, which induces the flow. a constant temperature was set in both cylinders, in this study. the f...

A finite element model is constructed to analyze the steady heat conduction and thermal stress in a ceramic/FGM/metal composite EFBF plate under convective heat transfer boundary. From numerical calculation, when 1   b a   , T0=Ta =300K and Tb=1 800K, the steady heat conduction and thermal stress distributions in the plate were obtained. The numerical results show that the temperature distr...

This paper presents an overview on applications of HFS-FEM to functionally graded materials. Recent developments on the hybrid fundamental solution (HFS) based finite element model (FEM) of steady-state heat transfer, transient heat conduction, nonlinear heat transfer, and elastic problems of functionally graded materials (FGMs) are described. Formulations for all cases are derived by means of ...

Recently a novel concise representation of the probability distribution of heat conducting nonequilibrium steady states was derived. The representation is valid to the second order in the “degree of nonequilibrium”, and has a very suggestive form where the effective Hamiltonian is determined by the excess entropy production. Here we extend the representation to a wide class of nonequilibrium st...

Using 1D and 2D cooling codes, we study thermal emission from neutron stars with steady state internal heaters of various intensities and geometries (blobs or spherical layers) located at different depths in the crust. The generated heat tends to propagate radially, from the heater down to the stellar core and up to the surface; it is also emitted by neutrinos. In local regions near the heater,...