Soret Convection in a Shallow Porous Cavity under a Magnetic Field and Submitted to Uniform Fluxes of Heat and Mass
Bibliographic record
Abstract
Combined effects of magnetic field and thermodiffusion (Soret effect) on natural convection within an electrically conducting binary mixture, confined in a horizontal sparsely packed porous enclosure subjected to uniform fluxes of heat and mass, is studied analytically and numerically. In the limit of a shallow enclosure, an analytical solution is derived using the parallel flow approximation. The approximate analytical solution is validated against the numerical solution of the full governing equations using a finite difference method. Interesting flow bifurcation phenomena are obtained herein and discussed. The linear stability theory and the parallel flow concept are used to determine explicitly the thresholds for the onset of stationary,subcritical and oscillatory convections as functions of the governing parameters. The obtained results showed the existence of different regions in the (N, Le) plane that correspond to different parallel flow behaviors. The number and the locations of these regions depend on the Soret parameter. The existence of a codimension-2 point is demonstrated. The effects of the Hartmann number on the fluid flow intensity and heat and mass transfer characteristics are also discussed.
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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 | 0.000 | 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 | 0.001 |
| 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 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".