Direct numerical simulation of turbulent Taylor-Couette flow with grooved walls

Xiaojue Zhu, Rodolfo Ostilla-Monico, Roberto Verzicco, Detlef Lohse

Research output: Contribution to conferencePaperpeer-review


We present direct numerical simulations of Taylor-Couette flow with grooved walls up to inner cylinder Reynolds number of Rei = 3.76 × 104, corresponding to Taylor number of Ta = 2.15 × 109. The simulations are performed at a fixed radius ratio η = ri/ro = 0.714. The grooves are axisymmetric V-shaped obstacles attached to the wall with a tip angle of 90°. Results are compared with the smooth wall case in order to investigate the effects of the grooved walls. In particular, we focus on the effective scaling laws for torque, boundary layers and flow structures. With increasing Ta, the boundary layer thickness finally becomes smaller than the groove height. When this happens, the plumes are ejected from tips of the grooves and a secondary circulation between the grooves is formed. This is associated with a sharp increase of the torque and thus the effective scaling law for the torque becomes much steeper. Further increasing Ta does not result in an additional slope increases. Instead, the effective scaling law saturates to the same “ultimate” regime effective exponents seen for smooth walls.

Original languageEnglish
Publication statusPublished - 1 Jan 2015
Event15th European Turbulence Conference, ETC 2015 - Delft, Netherlands
Duration: 25 Aug 201528 Aug 2015
Conference number: 15


Conference15th European Turbulence Conference, ETC 2015
Abbreviated titleETC 2015


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