Note on a thermal law of the wall for separating and recirculating flows

The characteristics of the turbulent boundary layer near a separation point are studied here. The emphasis is on providing analytical expressions for the velocity and temperature near-wall solutions which are also valid in the region of reverse flow. These expressions can then be used as boundary conditions in numerical schemes that use two-equation differential models. The paper proposes a new expression for the description of the near-wall characteristic length. The temperature profiles near the wall are described by a newly proposed expression that reduces to a logarithmic profile in the attached region, and assumes a minus half power law profile at the separation point.