Distributed Control of Heat Conduction in Thermal Inductive Materials with 2D Geometrical Isomorphism

Distributed Control of Heat Conduction in Thermal Inductive Materials with 2D Geometrical Isomorphism

In a previous study we provided analytical and experimental evidence that some materials are able to store entropy-flow, of which the heat-conduction behaves as standing waves in a bounded region small enough in practice. In this paper we continue to develop distributed control of heat conduction in these thermal-inductive materials. The control objective is to achieve subtle temperature distri...

Heat conduction in a 2D domain with geometrical uncertainty using intrusive polynomial chaos method

The primary objective of this work is to understand geometrical uncertainty based on the intrusive polynomial chaos method which allows computing the statistical output for geometrical uncertainty. Currently, very few techniques are available for such computations and this makes these computations a very active research topic. This article deals with the computation of some statistics of the so...

Finite Heat conduction in 2D Lattices

This paper gives a 2D hamonic lattices model with missing bond defects, when the capacity ratio of defects is enough large, the temperature gradient can be formed and the finite heat conduction is found in the model. The defects in the 2D harmonic lattices impede the energy carriers free propagation, by another words, the mean free paths of the energy carrier are relatively short. The microscop...

Heat conduction in 2d nonlinear lattices

The divergence of the heat conductivity in the thermodynamic limit is investigated in 2d-lattice models of anharmonic solids with nearest-neighbour interaction from single-well potentials. Two different numerical approaches based on nonequilibrium and equilibrium simulations provide consistent indications in favour of a logarithmic divergence in ”ergodic”, i.e. highly chaotic, dynamical regimes...

Boundary Element Analysis of Nonlinear Heat Conduction Problem with Point, Line and Distributed Heat Sources Employing Analytical integrations