English

Turbulent drag in a rotating frame

Fluid Dynamics 2021-07-26 v1

Abstract

What is the turbulent drag force experienced by an object moving in a rotating fluid? This open and fundamental question can be addressed by measuring the torque needed to drive an impeller at constant angular velocity ω\omega in a water tank mounted on a platform rotating at a rate Ω\Omega. We report a dramatic reduction in drag as Ω\Omega increases, down to values as low as 1212\% of the non-rotating drag. At small Rossby number Ro=ω/ΩRo = \omega/\Omega, the decrease in drag coefficient KK follows the approximate scaling law KRoK \sim Ro, which is predicted in the framework of nonlinear inertial wave interactions and weak-turbulence theory. However, stereoscopic particle image velocimetry measurements indicate that this drag reduction rather originates from a weakening of the turbulence intensity in line with the two-dimensionalization of the large-scale flow.

Keywords

Cite

@article{arxiv.1603.06484,
  title  = {Turbulent drag in a rotating frame},
  author = {Antoine Campagne and Nathanaël Machicoane and Basile Gallet and Pierre-Philippe Cortet and Frédéric Moisy},
  journal= {arXiv preprint arXiv:1603.06484},
  year   = {2021}
}

Comments

To appear in Journal of Fluid Mechanics Rapids

R2 v1 2026-06-22T13:15:24.577Z