Genetic algorithm based correlations for heat transfer calculation on concave surfaces

Laboratory experiments were carried out on a boundary layer over a concave wall subject to Görtler instability in the presence of forced wavelengths. Measurements of the local heat transfer along the concave wall permit calculation of the local Stanton number St for various axial positions x, nominal velocity Un, the wavelength λ and strength dw   of the forced initial perturbations. The relation among these variables was constructed by a phenomenological argument in the form of classical power law correlations: St=a(Reθ)bxRcλθd. Correlations constants are then derived by genetic algorithm methods. The calculated Stanton number is in good agreement with the experimental results. In this paper we propose correlations for the calculation of heat transfer on concave surfaces (such as gas turbine blade pressure side) where the flow is complex due to the presence of streamwise vortices.