Fundamentals of Turbulent Flows

Abstract

The velocity field of turbulent Couette flow between two, infinitely long plates, moving in opposite directions, shall be calculated. The flow with a constant density g has a time averaged steady velocity field that is a function of y only. Body forces are neglected. The turbulent apparent stresses (Reynolds’ stresses) are calculated using the Prandtl mixing length theory, where for the distribution of the mixing length the following relationship is used:

$$l\left( y \right) = K\left( {{h^2} - {y^2}} \right).$$