An analytical study of incompressible free turbulent mixing in adverse and favorable pressure gradients

The equations governing free turbulent mixing are derived from the Navier-Stokes equations and transformed into a mathematical plane which is explicitly independent of the eddy viscosity model. The coupled momentum and turbulent kinetic energy equations are analytically solved in the transformed plane by a perturbation technique and subsequently retransformed into physical space based on a hypothesized dependence of the eddy viscosity on the turbulent kinetic energy. The adequacy of a given model in reproducing the velocity and turbulent kinetic energy field is assessed by comparing the results of the analysis with some experimental data of planar turbulent wake mixing in constant adverse and favorable pressure gradients. (Author)http://archive.org/details/analyticalstudyo00hokeNAN