Dynamic simulation of three-dimensional heat conduction through cylindrical inclusions using a BEM model formulated in the frequency domain

作者：Tadeu Antonio; Prata Joana^*; Simoes Nuno

来源：Applied Mathematics and Computation, 2015, 261: 397-407.

DOI：10.1016/j.amc.2015.03.123

• Heat conduction
• Three-dimensional boundary element method
• Singular integral
• Cylindrical inclusions
• Infrared thermography
• Phase difference

The analysis of surface temperatures in constructive elements using infrared thermography can be a useful tool for the in situ identification of constructive details and materials and for the evaluation of their thermal behaviour. It is therefore very important to be able to predict the effect of the materials' thermophysical properties on heat diffusion.
We present a numerical simulation model for the study of three-dimensional heat diffusion through cylindrical inclusions. This model is based on the boundary elements method (BEM), formulated in the frequency domain, and it was verified against two-dimensional analytical solutions that are known for cylindrical geometries. The proposed model was used to simulate heat conduction through a concrete column with a cylindrical inclusion embedded within it, subjected to a three-dimensional external heat point source. The effect of the inclusion properties and inclination on the temperature distribution inside the column and on its outer surface was analysed. The different heat wave phases of the physical models were compared.

• 出版日期2015-6-15