Analytic solutions to the nonlinear radiation diffusion equation with an instantaneous point source for a non-homogeneous medium power law spatial density profile, are presented. The generalization of well known homogeneous medium. It is shown that take various qualitatively different forms according value exponent. These studied in detail linear and non heat conduction. In addition, by inspect...

XVIII. XIX. Introduction ........................................ Restructured Thermodynamics of Open Systems and the Concept of Thermobaric Transfer. ................................. New Chemical Thermodynamics .......................... Homogeneous Mixtures and Reformulation of the Gibbs-Duhem Theorem .......................................... Nontensorial Virtual Work Approach to Finite Str...

In this paper we propose a numerical reconstruction method for solving a backward heat conduction problem. Based on the idea of reproducing kernel approximation, we reconstruct the unknown initial heat distribution from a finite set of scattered measurement of transient temperature at a fixed final time. Standard Tikhonov regularization technique using the norm of reproducing kernel is adopt to...

A semi-analytical investigation has been carried out to analyze unsteady MHD second-grade flow under the Dual-Phase-Lag (DPL) heat and mass transfer model in a vertical microchannel filled with porous material. Diffusion thermo (Dufour) effects and homogenous chemical reaction are considered as well. The governing partial differential equations are solved by using the Laplace transform method w...

Abstract A non-iterative approach based on adjoint formulation of conduction heat transfer is proposed to identify the thermal boundary conditions from a transient temperature history measured in a solid body. Using a numerical solution of the adjoint problem, which can be regarded as a numerical Green’s function, the temperature at the measuring point can be evaluated under arbitrary thermal b...

The transient liquid crystal technique is nowadays widely used for measuring the heat transfer characteristics in gas turbine applications. Usually, the assumption is made that the wall of the test model can be treated as a flat and semi-infinite solid. This assumption is correct as long as the penetration depth of the heat compared to the thickness of the wall and to the radius of curvature is...

We continue the study of a model for heat conduction [6] consisting of a chain of non-linear oscillators coupled to two Hamiltonian heat reservoirs at different temperatures. We establish existence of a Liapunov function for the chain dynamics and use it to show exponentially fast convergence of the dynamics to a unique stationary state. Ingredients of the proof are the reduction of the infinit...

It was recently shown theoretically that the time-dependent heat conduction equation is form invariant under curvilinear coordinate transformations. Thus, in analogy to transformation optics, fictitious transformed space can be mapped onto (meta)materials with spatially inhomogeneous and anisotropic heat-conductivity tensors in the laboratory space. On this basis, we design, fabricate, and char...