Sentence examples for heat diffusion problem from inspiring English sources

The novelty of this work lies in the accurate description of the thermal gradient field, in terms of the actual measurable input data to the heat diffusion problem, as well as the refined mechanical representation of the 3D effects of the thermo-geometric stiffness and the elastic moduli.

It is highlighted that the new approach is capable of accurately reproducing results of some existing numerical approaches, with a more general setting and treatment of the heat diffusion problem, and hence provides a possible unified framework for the estimation of thermal field in soils.

The extension of the method to formulate transient and/or three-dimensional convective heat diffusion problems is also described, and the relevant fundamental solutions are given.

The mathematical technique used in the present analysis is the parameter-group transformation, the linear transformation group approach is developed to solve the heat diffusion problems in the presence of thermal conductivity and heat capacity.

A boundary element method is described in detail for the solution of two-dimensional steady-state convective heat diffusion problems in homogeneous and isotropic media with both linear and nonlinear boundary conditions.

Such parameters are frequently encountered in PDE-based models and correspond to quantities such as density or pressure fields, elasto-plastic moduli and internal variables in solid mechanics, conductivity fields in heat diffusion problems, permeability fields in fluid flow through porous media etc.

To corroborate these indicators, the complete heat conduction moisture diffusion problem was numerically solved, and the predictions showed, precisely, that analytical solutions may be used to estimate diffusion coefficients in wheat.

This paper proposes a full grid interval collocation method (FGICM) and a sparse grid interval collocation method (SGICM) to solve the uncertain heat convection-diffusion problem with interval input parameters in material properties, applied loads and boundary conditions.

Especially, the anomalous behaviors involving the diffusion problem, heat transfer, creep phenomena, fluid flow process, oscillating circuits and the convection dispersion have been the research hot spots (see [13 18]).

In this paper we propose a discontinuous Galerkin scheme for the numerical approximation of unsteady heat conduction and diffusion problems in multi dimensions.

Kim et al. in [15] solved multiple-class-based co-segmentation problem by anisotropic heat diffusion.