ASYMPTOTIC ANALYSIS OF TURBULENT COUETTE-FLOW

This paper deals with asymptotic analysis of turbulent Couette flow at large Reynolds number using open equations of mean motion. The flow i s divided into three layers (central core region, inner region I near stationary wall and inner region II near moving wall) and asymptotic e xpansions are matched in two overlapping domains. It is shown that the velocity at the center line is one half of the velocity of the moving wall. In the regions of stationary and moving walls the relative velo city obeys a logarithmic law with universal constants. Asymptotic anal ysis of turbulent kinetic energy shows algebraic rather than logarithm ic behaviour in the overlap region. It is shown that the predictions o f the asymptotic theory compare well with the measurements.