A Two-Dimensional Heat Transfer Model for Thermal Barrier Coating Average Thermal Conductivity Computation

ABSTRACT

The present article is devoted to quantifying the contribution of pores and cracks in the decrease of the effective thermal conductivity of thermal barrier coatings (TBCs). A finite-difference-based model is used for the computation of heat transfer through a porous structure. Each pixel of a binary picture describing the pore network is interpreted as a cell of integration of the heat conduction equation. A thermal gradient is applied and a large system of linear Equations is subsequently derived. Since it has a strong influence on the required CPU time, particular attention is given to the solving procedure.

The authors acknowledge the help of Ms. Lydie Lahoupe (LERMPS, Université de Technologie de Belfort-Montbéliard, France) for the sample preparation and Mr. Jean-Marc Dorvaux (ONERA, Materials Science Department, Chatillon, France) for his advice in improving the TS2C software. LERMPS is a member of Institut des Traitements de Surfaces de Franche-Comté (ITSFC, Surface Treatment Institute of Franche-Comté), France.

Notes

¹ Saint-Gobain Coating Solutions, Avignon, France.

² PHOENICS is a general-purpose CFD package developed by CHAM, Wimbledon, UK.