Steady Two-Dimensional Non-Newtonian Flow Past an Array of Long Circular Cylinders up to Reynolds number 500: A Numerical Study
Bibliographic record
Abstract
The free surface and zero vorticity cell models have been combined with the equations of motion to investigate numerically the steady flow of incompressible power-law (shear-thinning and shear-thickening) fluids across banks of long cylinders. The equations of motion in the stream function/vorticity formulation have been solved numerically using a second order accurate finite difference method to obtain extensive information on the behaviour of the drag coefficient, surface vorticity distribution, streamlines and iso-vorticity patterns, for high Reynolds numbers (Re = 50 500) and using a wide range of power-law index (0.3 ≤ n ≤ 2.0), and porosity (0.4 ≤ e ≤0.9) values. The behaviour of the aforementioned parameters at low Reynolds numbers has also been investigated and validated using theoretical and numerical work from the literature. The results reported here enable extension of the limits of creeping flow behaviour up to Re = 50 for fluids with highly shear-thickening characteristics under low porosity conditions. Les modèles de cellules à surface libre et vorticité nulle ont été combinés aux équations de mouvement afin d'étudier numériquement l'écoulement stationnaire de fluides (rhéofluidifiants et rhéoépaississants) de loi de puissance incompressibles dans des groupes de longs cylindres. Les équations de mouvement exprimées sous forme de fonction de courant/vorticité ont été résolues numériquement à l'aide d'une méthode de différences finies précise au second ordre pour obtenir des données complètes sur le comportement du coefficient de traînée, de la distribution de vorticité de surface, de lignes de courants et des iso-vorticités, pour des nombres de Reynolds élevés (Re = 50, 500) et une large gamme de valeurs d'indice de loi de puissance (0,3 ≤ n ≤ 2,0) et de porosité (0,4 ≤ e ≤ 0,9). Le comportement de ces paramètres à de faibles nombres de Reynolds a également été étudié et validé à l'aide du travail théorique et numérique de la littérature scientifique. Les résultats présentés ici permettent l'extension des limites de comportement d'écoulement rampant jusqu'à Re = 50 pour des fluides très rhéoépaississants dans des conditions de faible porosité.
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How this classification was reachedexpand
Full frame distilled prediction
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)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".