Computer Experiments on Rapidly Rotating Plane Couette Flow
Mustafa Barri 1*, Helge I. Andersson 11 Fluids Engineering Division, Department of Energy and Process Engineering, Norwegian University of Science and Technology, 7491 Trondheim, Norway.
Received 22 April 2009; Accepted (in revised version) 17 July 2009
Available online 12 October 2009
The turbulence in plane Couette flow subjected to system rotation is investigated. The anti-cyclonic rotation rate is well above the range in which roll-cells occur and close to the upper bound, beyond which no stationary turbulent states of motion exist. The mean velocity profile exhibits a linear region over 80% of the cross-section, in which the mean absolute vorticity is driven to zero. Viscous effects still prevail in narrow regions next to the walls, whereas the quasi-homogeneous central core exhibits abnormal anisotropies of the Reynolds stress tensor, the vorticity tensor and the energy dissipation rate tensor. In spite of the distinctly higher turbulence level observed, a 13% drag reduction is found. This paradoxical finding is ascribed to configurational changes in the turbulence field brought about by the system rotation.
AMS subject classifications: 76M12, 76F10, 76F65, 76U05
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Key words: Turbulence, plane Couette flow, system rotation, anti-cyclonic rotation, anisotropy tensor, zero absolute mean vorticity.
Email: firstname.lastname@example.org (M. Barri), email@example.com (H. I. Andersson)