In this paper, a new mathematical model of a Kelvin-Voigt type thermo-visco-elastic, infinite thermally conducting medium has been considered in the context of a new consideration of heat conduction having a non-local fractional order due to the presence of periodically varying heat sources. Three-phase-lag thermoelastic model, Green Naghdi models II and III (i.e., the models which predicts the...

In this work, a novel model is presented that describes thermal diffusion processes through non-local semiconductor materials. The material under study subjected to the influence of strong magnetic field, which creates Hall current. Interference between excited electrons and holes had been exposed temperature was present, conductivity depending on changes in graduated were accounted for. govern...

In this paper, the effect of the Brownian term in natural convection of CuO-Water nanofluid inside a partially filled porous cavity, with internal heat generation has been studied. It is assumed that the viscosity and thermal conductivity of nanofluid consists of a static part and a Brownian part of which is a function of temperature and the volume fraction of nanofluid. Because of internal hea...

1. Abstract This paper describes a hierarchical computational model to optimize the material distribution and the local material properties of thermo-mechanical structures within the context of transient thermal conduction problems. The problem formulation assumes a given domain, prescribed thermal boundary and initial conditions, and the objective is to identify the non-homogeneous material th...

Abstract. This paper focuses on the contribution of the second order corrector in periodic homogenization applied to a conductive-radiative heat transfer problem. Especially, for a heat conduction problem in a periodically perforated domain with a non-local boundary condition modelling the radiative heat transfer, if this model contains an oscillating thermal source and a thermal exchange with ...