Turbulent states in plane Couette flow with rotation
arXiv:1411.4866 · doi:10.1063/1.4917281
Abstract
Shearing and rotational forces in fluids can significantly alter the transport of momentum.A numerical investigation was undertaken to study the role of these forces using plane Couette flow subject to rotation about an axis perpendicular to both wall-normal and streamwise directions. Using a set of progressively higher Reynolds numbers up to Re = 5200, we find that the torque for a given Re is a non-monotonic function of rotation number, Ro. For low-to-moderate turbulent Reynolds numbers we find a maximum that is associated with flow fields that are dominated by downstream vortices and calculations of 2-d vortices capture the maximum also quantitatively. For higher shear Reynolds numbers a second stronger maximum emerges at smaller rotation numbers, closer to non-rotating plane Couette flow. It is carried by flows with a markedly 3-d structure and cannot be captured by 2-d vortex studies. As the Reynolds number increases, this maximum becomes stronger and eventually overtakes the one associated with the 2-d flow state.
arXiv comment15 pages, 10 figures
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Cited by in corpus (6)
- Momentum transport in Taylor-Couette flow with vanishing curvature
- Three-Dimensional Rotating Couette Flow Via The Generalised Quasilinear Approximation
- Fourier continuation method for incompressible fluids with boundaries
- Exact relations between Rayleigh-Bénard and rotating plane Couette flow in 2D
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