Mean flow scaling in a spanwise rotating channel

Abstract

While it is known that the mean flow in a spanwise rotating channel follows a linear law at the pressure side with an additive constant $C$, the exact dependence of this additive constant on the Reynolds number and the rotation speed was not entirely clear. It is shown that this additive constant $C$ is a logarithmic function of a rotating induced length scale. After determining the mean-flow scaling, this knowledge is used for wall modeling and for relating the skin friction and the flow rate.

Topics & Concepts