Homotopy analysis on magnetized Williamson-micropolar nanofluid flow over a bi-directionally extending surface with multiple slip conditions
Why this work is in the frame
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Bibliographic record
Abstract
This current investigation examines the behavior of Williamson-micropolar nanofluid across a bi-directionally extending sheet with thermal radiation, heat source, and multiple slip conditions. It is noteworthy to measure heat transmission of the Williamson-micropolar flow filled with water-based alumina nanofluid subjected to the bi-directional stretching sheet. By utilizing the proper similarity transformation rules, the governing complex partial differential equations (PDEs) of the problem are altered to non-linear ordinary differential equations (ODEs). The Homotopy Analysis Method (HAM) is used to solve the transmuted system of non-linear ODEs. Graphical representations of findings are used to examine the effects of various physical factors on the velocity, angular velocity and temperature profiles. Convergence of the results has been presented. The HAM results, presented in tabular form, are compared to existing literature, demonstrating that our findings surpass previously published research. It has been revealed in this study that nanofluid volume fraction reduces the velocity profiles.
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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 | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.000 | 0.002 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.006 | 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