Magneto-convection of a binary micropolar fluid with suspended particles
Bibliographic record
Abstract
The present paper investigates the effect of vertical magnetic field and dust particles on the stability of a micropolar fluid layer heated and soluted from below. The Lorentz force term is introduced due to the presence of a magnetic field, which gives rise to oscillatory motions in the system. The other reason for the introduction of overstable motions is the coupling between micropolar and thermosolutal effects. The normal mode technique, along with the Boussinesq approximation is used to derive the dispersion relation. The thermal Rayleigh number is found for both types of convections and it is observed that it is more for stationary motions than for oscillatory motions; except for high values of the suspended particles factor. The effect of solute Rayleigh number and Chandrasekhar number is to stabilize the micropolar fluid layer while dust particles hasten the onset of convection. Interestingly, as the suspended particle factor increases, the mode of instability shifts from overstability to stationary convection. The effect of micropolar coefficient of coupling is found to stabilize the fluid–particle layer for stationary convection. Some earlier known results are recovered as special cases from the present formulation.
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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 | 0.001 | 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".