Extension of the Johnson-King turbulence model to the 3-D flows

A critical evaluation of the eddy viscosity model of Johnson and King extended to the three-dimensional case has been performed for three-dimensional boundary layer flows. The turbulence model is evaluated by a detailed comparison with available experimental data for incompressible flows over an infinite swept wing and near an idealized wing-body junction. The isotropic model of Johnson and King is found to work much better than the Cebeci-Smith model, especially in regions of strong cross flow. The significant decrease in the shear stress magnitude is almost reproduced. This means that this effect is as important as the nonisotropic eddy viscosity. The introduction of Rotta's modification to account for nonisotropic eddy viscosity in the Johnson-King formulation is found to have little effect on the predictions. The cross-flow properties are the most strongly affected.