Methods to Calculate Thermal Protection of Gas Turbine Blades

A new mathematical model is presented along with the efficient method to calculate the temperature field of convectively cooled gas turbine blades. The theoretical substantiation of the method is performed by proving the relating theorems. Discrete operators and logarithmic potential of the dual and simple layer are studied. Convergent quadrature processes are constructed and their systematic errors are estimated in terms of Zigmund modules of continuity. Boundary conditions for heat-exchange are determined from the solution of the corresponding integral equations and empiric relations.