On single limits and the asymptotic behaviour of separating turbulent boundary layers

Abstract

The present work studies the asymptotic structure of the turbulent boundary layer near a separation point through the single limit concept of Kaplun. A new scaling procedure is introduced resulting in a changeable asymptotic structure which is consistent with the experimental data. The classical structure of the velocity and temperature boundary layers is shown to develop into a one-deck structure near the separation joint due to the merging of the two principal equations. The Reynolds analogy breaks down yielding a different power-law for the temperature profile. New laws of the wall for both the velocity and temperature fields are derived.