Application of [γ-Re_θ] transition model in hypersonic flow based on new correlation equation

In order to improve the simulation accuracy of the original [γ-Re_θ] transition model when applied to hypersonic flow calculation, a new correlation of the transitional moment thickness Reynolds number with Mach number, turbulence intensity and pressure-gradient correction-factor was proposed based on hypersonic wind tunnel data. Verification of the new correlation was conducted on hypersonic flows around the flat plate and cones. Comparison of the key parameters, which was computed by origin correlation and the new correlation, was performed, and mechanism of action of the new correlation was analyzed and elaborated. Results indicate that the [γ-Re_θ] transition model based on the origin correlation of low speed incompressible flow experiments leads to much lower transitional moment thickness Reynolds number in the flow field (usually only 40%~60% of the actual value), which cause early trigger of the transition, making transition position move upstream 10% or more (based on reference length). The proposed new correlation can improve the prediction of transition location and results agree better with experimental ones.