Effective Thermoelastic Properties of Flat and Curved Transpiration Cooled Multilayer Plates via Homogenization

A multiscale approach based on the homogenization method of periodic material structures is developed here to predict the effective thermoelastic properties of heterogeneous porous materials. This method allows the calculation of effective equivalent properties either for each layer separatlely or for the multilayer of transpiration cooled multilayer plates. As gas turbine components are usually not flat, three different cooled plate designs — plane, convex and concave — are analyzed numerically. Effective Young and shear moduli as well as Poisson and thermal expansion coefficients are presented in detail for the reference flat plate. Then for the curved plates, the most sensitive effective Young and shear moduli of the TBC layer are compared with the reference ones. The effect of the blowing ratio on the effective orthotropic stiffness properties is outlined. The influence of local geometrical imperfections of the cooling channel shapes on the effective thermoelastic properties of the TBC layer of flat plates is also discussed in detail.