Numerical simulation of condensation around the 3-D wing

Abstract

Nonequilibrium condensation generating around 2-D and 3-D transonic wings in moist air is numerically studied. The fundamental equations of the compressible Navier-Stokes equations and the model equations for the phase change based on the classical condensation theory assuming homogeneous nucleation are solved using the fourth-order compact MUSCL TVD scheme and the explicit second-order Runge-Kutta scheme. As numerical examples, 2-D transonic viscous flows around the RAE2822 airfoil and 3-D transonic viscous flows around the ONERA M6 wing under atmospheric wind tunnel conditions are calculated changing the relative humidity, and the calculated results are compared with those of 0% humidity and the experiments. The calculated results show that nonequilibrium condensation induces the release of latent heat and it directly affects the pressure coefficient distributions on the airfoil surface by increasing the relative humidity. Therefore, wing performance is influenced by the condensation. Finally, the reliability and limitations of the present method are discussed.