On Computation of MHD Flow Near a Rotating Disk
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Bibliographic record
Abstract
The steady laminar flow of an incompressible, viscous, electrically conducting fluid near a rotating disk in the presence of a transverse magnetic field has been computed. Using von Kármán transformation the equations of motion have been reduced to a boundary value problem (BVP) characterized by a dimensionless number m, which measures the relative importance of magnetic field. The solution is obtained in terms of series of exponentially decaying functions, the convergence of which improves as the value of m is increased. Also presented are (i) a perturbation solution valid for small m, (ii) an asymptotic solution valid for large m, and (iii) an approximate solution, based on stretching of the independent variable and minimization of the residuals of differential equations, which is valid for all values of m. A comparison has been made with the exact solution and appropriate conclusions drawn.
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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 | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 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 it