The ow and heat transfer due to lm cooling over a turbine nozzle guide vane, which was also cooled by internal convection, were numerically analysed under engine conditions. The timedependent, two-dimensional, mass-averaged, Navier-Stokes (N-S) equations are solved in the physical plane based on the four-stage Runge-Kutta algorithm in the nite volume formulation. Local time stepping, variable coef cient implicit residual smoothing and a full multigrid technique have been implemented to accelerate the steady state calculations. Turbulence was simulated by the algebraic Baldwin-Lomax (B-L) model. The computed heat transfer distributions with lm cooling in conjunction with internal cooling were in good agreement with the experimental data. The present computation was successful in describing the coolant behaviour over the curved suction and pressure surfaces of a turbine blade for varying blowing and temperature ratios.
NOTATIONc chord (m) e total energy per unit mass (J/kg) h heat transfer coef cientˆq w /(T 01 ¡ T w ) (W/m 2 K) m blowing ratioˆr c V c /(r ? V ? ) M Mach number p pressure (N/m 2 ) P c /P t coolant-inlet total pressure ratio (blowing strength) q heat ux (W/m 2 ) Re Reynolds numberˆrVc/m s surface length (m) T temperature (K) T c /T g coolant to gas absolute temperature ratio (thermal dilution) u, v Cartesian velocity components (m/s) V magnitude of velocity vector (m/s) x, y Cartesian coordinates y ‡ law-of-the wall coordinate m coef cient of viscosity (N s/m 2 ) r density (kg/m 3 ) t i,j stress tensor (N/m 2 )