The thermophysical flow of viscous fluid toward a permeable rotating disk with the Hall current and the Maxwell-Cattaneo law
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Bibliographic record
Abstract
The phenomenon of fluid flow through rotating surfaces has been a topic of vast interest among the research community due to its industrial applications such as spinning disk electrodes, evaporators, centrifuges, power engineering, and microclimate systems. Inspired by such developments, the ongoing study investigates the swirl flow of viscous fluid about a permeable disk. The disk experiences a uniform rotation and undergoes shrinking or stretching in its own plane. Hall’s current effects are also featured in the flow model. The energy equation is demonstrated by the Maxwell-Cattaneo law. This law holds the main feature of thermal inertia due to which the relaxation time initiates the steady-state heat conduction. Therefore, such a law overcomes the paradox of heat conduction in Fourier’s law. The traditional Von Karman approach of similarity functions is implemented to convert the governing flow equations into a self-similar form. The resultant flow system is then solved by the Runge–Kutta-Fehlberg (RKF) procedure with the shooting technique. For the exactness of the numerical computations, the results are compared with the available data for the limiting case of the physical flow configuration. The physical quantities are elaborated through graphical descriptions.
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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) | 0.000 | 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 it