Thin film flow of Casson liquid over a nonlinear stretching sheet in the presence of a uniform transverse magnetic field
Bibliographic record
Abstract
Thin film flow of Casson liquid over a nonlinear stretching sheet is studied in the presence of a transverse uniform magnetic field. The evolution equation for the film thickness is derived using the long-wave approximation for thin liquid film and this nonlinear partial differential equation is solved numerically by using the Newton–Kantorovich method. Four different types of nonlinear stretching velocities are considered to study the effects of Casson parameter and Hartmann number on film thinning rate and the corresponding film thinning patterns are analyzed. It is observed that the Casson parameter exerts resistance on film thinning. Further it is also found that all types of stretching generate film thinning, but non-monotonic stretching provides faster thinning at small distances from the origin.
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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".