On Particulate Taylor-Couette Flow Driven by Periodically Oscillating Cylinders
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Bibliographic record
Abstract
Abstract Oscillatory laminar Taylor-Couette (TC) flow of a particle-laden fluid between two periodically oscillating cylinders is studied under the assumption that the time-averaged value of particle volume fraction remain essentially constant with the time-periodic small-amplitude oscillation of particles around their initial positions. Unlike oscillatory Taylor-Couette flow of a clear fluid governed by a linear equation for the azimuthal velocity field alone, it is shown here that oscillatory particulate Taylor-Couette flow governed by coupled nonlinear equations for the azimuthal and radial velocity fields gives rise to the nonzero radial velocity field of dispersed particles which contains a nonperiodic steady component. Explicit expressions are derived for the leading-order azimuthal and radial velocity fields of the suspension and dispersed particles. Assuming that the radii of cylinders are much larger than the thickness of Stokes boundary layer, detailed results are demonstrated for the case of a single oscillating cylinder and the case of oscillating inner cylinder with fixed outer cylinder. It is shown that the steady radial velocity of particles is vanishingly low except in a thin boundary layer of the oscillating cylinder, and the direction of steady radial velocity of particles is determined by whether the particles are heavier or lighter than the carrier fluid. Unlike known works on particulate Taylor-Couette flow driven by uniformly rotating cylinders, the results reported here could offer new insight to oscillatory particulate Taylor-Couette flow driven by periodically oscillating cylinders with non-neutrally buoyant particles.
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Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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