Bifurcation model of the laminar-turbulent transition near a flat wall

In this article we describe a new mathematical model (bifurcational turbulence model) and argument why it's suitable for prediction of laminar and turbulent boundary layer characteristics. The model's distinguishing feature is that laminar-turbulent transition in medium arises as direct consequence of bifurcational properties of underlying RANS (Reynolds-averaged Navier–Stokes) equations which are closed in a specific way. The article is divided in three major parts. The first part describes RANS and second-order closure conditions along with premises that we use to obtain model equations in closed form. The second part is dedicated to the details of a particular turbulence model and its application to general shear layer problem. In the third part we consider turbulence transition in boundary layer over flat plate and present results of numerical simulations compared to experimental data for the case.