A half century historical review of the k-omega model

A brief historical review is presented tracing evolution of the k-omega two-equation turbulence model. The review compares the various k-omega models developed since 1942, and contrasts them to the well-known k-epsilon model. Straight-forward results based on perturbation analysis illustrate advantages offered by k-omega models for flows with adverse pressure gradient and for integration through the sublayer. As part of the historical perspective, the paper shows that Kolmogorov did remarkably well in formulating his model without the aid of a computer.