A new hybrid one-equation k-L /backflow model has been used to compute several turbulent flow problems involving detached flow regions. The model incorporates algebraic near-wall treatments for the kinetic energy of turbulence fc, the length scale L, and the eddy viscosity /*,. The near-wall formulation depends on whether the flow is attached or detached. This approach obviates the need to use wall functions. Agreement between predictions and experimental data is generally very good throughout the Mach number range.