Amplification factor transport model based on boundarylayer similarity solution

In order to make the linear stability theory adapt to the modern CFD solver technology, the similarity velocity profiles corresponding to various shape factors is obtained through solving the Falkner-Skan similarity equation. Then the approximate envelope lines of amplification factor can be achieved by analyzing different velocity profiles based on the linear stability theory. Finally, the amplification factor of envelope approximation method is solved locally in the form of scalar transport equation and the transport equation of intermittency factor in the original γ-Re_θt transition model is combined to model the prediction of natural transition and separation bubble transition. The transport model has been applied to conducting the transition prediction on the S&K plate flat, S809 airfoil, NLR7301 airfoil and DLR-F5 wing. The successful results verify the rationality and feasibility of the established transport transition model.