Turbulent plane Couette flow at high Reynolds number

A new set of numerical simulations of turbulent plane Couette flow in a large box of dimension (۲۰nh, ۲h, ۶nh) at Rex = ۱۲۵, ۱۸۰, ۲۵۰ and ۵۵۰ is described and compared with simulations at lower Reynolds numbers, Poiseuille flows, and experiments. The simulations present a logarithmic near-wall layer and presently used to verify and revise previously confirmed that fluctuation intensities in the stream wise and spanwise directions do not scale well in wall units. The scaling failure happens both near and away from the wall. On the contrary, the wallnormal intensity scales in inner units in the near-wall region and in outer units in the core region. The spectral ridge found in Hoyas & Jimenez [Scaling of the velocity fluctuations in turbulent channels up to Rex = ۲۰۰۳, Physics of Fluids, ۰۱۱۷۰۲] for the turbulent Poiseuille flow can bealso seen in the present flow. Away from the wall, very large scale motions are found spanning through all the length of the channel.

Keywords:

Reynolds number , Couette flow , Poiseuille flow , Turbulent plane Couette flow