BEHAVIOR OF THE JOHNSON-KING TURBULENCE MODEL IN AXISYMMETRICAL SUPERSONIC FLOWS

A series of systematic tests are carried out on the Johnson-King turbulence model (JKM) for applied compressible aerodynamics. Two-dimensional flows with a moderate adverse pressure gradient and without separation at various Mach numbers are used for the tests. The results are compared with the Baldwin-Lomax model (BLM) as well as the measurements. The agreement of the results of both models and the measured data becomes poorer at higher Mach numbers. Overall, the performance of the JKM is slightly better than BLM except with respect to the prediction of the skin friction coefficient. The ordinary differential equation (ODE) in the JKM is effective in improving the prediction. However, the effects of the ODE are not as significant as in flows with separation. Use of the JKM even in nonseparated flows may improve accuracy of prediction, which has not been clearly established before this work.