Numerical solutions of magneto-hydrodynamic flow past a sphere at high Reynolds numbers
Bibliographic record
Abstract
Numerical solutions of a steady, incompressible magneto-hydrodynamic flow past a sphere at high Reynolds numbers are presented by using finite differences in spherical polar coordinates with an applied magnetic field parallel to the main flow. Nonlinear coupled governing equations are solved numerically using finite-difference techniques. The results are presented up to Reynolds’ number R ≤ 10 000 and interaction parameter N = 25. Stability and convergence of the finite-difference technique has been discussed. Contours of stream lines and the vorticity are represented graphically up to high Reynolds number R ≤ 10 000 and N = 25. The values of the minimum stream function and vorticity at the primary vortex for different Reynolds numbers are tabulated and discussed.PACS Nos.: 47.11.Bc, 47.27.Jv, 47.63.mc, 52.65.Kj
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.000 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.000 |
| Insufficient payload (model declined to judge) | 0.002 | 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 source (direct Gemma or distilled Codex), 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".