Numerical calculation of local convective heat transfer coefficients over air-cooled vane surfaces

A numerical model for iterative, simultaneous solution of two-dimensional compressible boundary layer equations and steady-state equations of heat conduction is presented, together with a FORTRAN program for calculating the local convective heat transfer coefficients over an air-cooled, vaned surface. The approximate integral method is employed for the boundary layer equation, while the finite element method is used to derive the temperature field of the blades. The program input comprises the blade geometry, the pressure or velocity distribution of the gas flow outside the boundary layer, the entrance flow characteristics, the internal cooling conditions, the nodal numbers, and the coordinates of the elements. The program yields the heat transfer coefficients and the temperature distribution on the surface and inside the blades. Good agreement was found with experimental results