NUMERICAL METHOD OF HEAT EMISSION CALCULATION FOR THE REQUIRED TEMPERATURE FIELD ON THE CONTACT SURFACE OF A BLADE AND THERMAL BARRIER COATING IN A CROSS-COOLING SCHEME

Abstract

We have derived constitutive equations of the heat exchange process in the case of internal cross-cooling of a gas-turbine engine blade for the desired temperature field on the contact surface of the blade and the coating exposed to the greatest thermal load. The method is developed for calculating heat transfer coefficients from the inner surface of the blade to the cooling agent by constructing a finite-difference scheme. In deriving difference relations, the dependence of thermal properties of multilayer thermal barrier coatings on temperature, type of material and layer thickness is taken into account. A recurrence formula is obtained for estimating the coolant temperature changing along the contour of the blade.