High Re<sub>λ </sub>Turbulence in a von Kármán device
ORAL
Abstract
We investigate turbulent flow in a von Kármán apparatus driven by two independently rotating D = 0.5 m rotors inside a 0.8 m-high octagonal tank. Planar particle image velocimetry measurements are performed in the mid-vertical plane for rotation rate, f = [0.7-3.1] rps, and rotation rate ratios ΓΩ = Ωb/Ωt = [0,−1], where Ω = 2pf. We use two modes of operation - the base mode (BM), wherein the rotors have the same frequency (ft = fb and ΓΩ = −1), and the differential mode (DM) wherein they have different frequencies such that (ft > fb). Multiple runs, each consisting of over 50,000 images, are acquired in each mode for better convergence. The BM is characterized by the symmetric recirculation regions separated by a stagnation zone formed near the center of the device. In the DM, the flow symmetry is broken, and the stagnation zone location depends on the ratio fb/ft. As ΓΩ tends from 0 to -1, the flow transitions from an asymmetric jet-dominated regime to a symmetric state seen in BM. The variation of rms velocities urms and vrms, along the horizontal and vertical central lines is in line with the mean flow conditions. In the central region the ratio urms/vrmsthat characterizes anisotropy is about 1.5 for BM and is in the range 0.8-1.8 for DM depending on ΓΩ. The Reynolds stress 〈uv〉 plotted for the DM clearly shows a formation of shear layer at the boundary of the jet-plume observed with lower values of ΓΩ. We compute the characteristic Reynolds number based on Taylor microscale, Reλ = ((20/3) ReL)0.5 ~ 900-2000, taking ReL = k0.5D/ν. The device provides suitable conditions for evaluation of high-Re turbulence dynamics.
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Publication: In this study, we explore how turbulence behaves when two large disks rotate in opposite directions inside a water-filled tank. By adjusting the speed of each disk, we observe how the flow changes from a strong, jet-like stream to a more balanced and symmetric motion. Using advanced imaging techniques, we capture over 50,000 measurements of the flow in each case to understand how chaotic motion evolves under different conditions. These results help scientists better understand how turbulence forms, spreads, and organizes itself in systems ranging from industrial mixers to natural whirlpools. This is especially important when dealing with strong swirling motions and high flow speeds.
Presenters
Abdullah A Alhareth
King Abdullah Univ of Sci & Tech (KAUST)
Authors
Abdullah A Alhareth
King Abdullah Univ of Sci & Tech (KAUST)
Vivek Mugundhan
King Abdullah Univ of Sci & Tech (KAUST)
Tariq Alghamdi
King Abdullah Univ of Sci & Tech (KAUST), kaust
Sigurdur T Thoroddsen
King Abdullah University of Science and Technology