Low Reynolds number one-equation turbulence modelling for prediction of transitional flows over a flat plate

A new version of one-equation turbulence model for predicting incompressible, transitional flows over flat plate is developed in the present paper. Based on an analysis of the existing one-equation models and some physical features of transitional flow, both the eddy viscosity and turbulence length scale in the turbulence kinetic energy equation are modified in order to bring the low Reynolds number effect into the new model. The capability of this model in prediction of transitional flows is demonstrated by an extensive numerical testing for flat plate flows under free stream turbulence intensity ranging from 0.03 to 20 percent. Comparison of both the calculated mean and fluctuating flow properties with experimental data indicates the agreement between the results and data is very good.