Marangoni convection in superposed fluid and anisotropic porous layers with throughflow
Bibliographic record
Abstract
Marangoni convective flow of fluid layer overlying a porous layer with anisotropic permeability and thermal diffusivity is addressed. Flow analysis has been carried out in presence of throughflow. Beavers-Joseph's slip condition is applied to the fluid-porous layer interface. The boundaries are known to be rigid, but permeable, and insulated to fluctuations in temperature. The problem of own value resulting from the stability analysis is solved through regular perturbation technique. Flow pattern with the influence of pertinent parameters namely the throughflow parameter, mechanical, thermal anisotropy parameters Prandtl number and depth ratio is investigated. Expression of critical Marangoni number is computed and analyzed. It is found that the depth of the relative layers, the direction of throughflow and mechanical and thermal anisotropy parameters deeply affect system stability. Reducing the parameter of mechanical anisotropy and increasing the parameter of thermal anisotropy contributes to process stabilization. In addition, the probability of regulating surface driven convection is discussed in detail through the appropriate choice of physical parameters.
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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".