Marangoni and Gravity Driven Convection in a Liquid Layer Overlying a Porous Layer: Lateral and Bottom Heating Conditions
Bibliographic record
Abstract
In this article we study the onset of thermal convection in a liquid layer overlying a porous layer in the presence of a free surface. The full non-linear two-dimensional Navier Stokes and the Fourier energy equations are solved for the liquid layer. The Brinkman model, together with the energy equation, describes the porous layer. The partial differential equations are solved numerically using the finite element technique. Two cases are presented: In the first case, the finite rectangular cavity is heated from below. The cavity aspect ratio, defined as the ratio of its width to its thickness, is studied in detail. The results are compared to the earlier results of Desaive et al. (2002) Desaive, Th., Lebon, G. and Hennenberg, M. 2002. Coupled capillary and gravity driven instability in a liquid layer overlying a porous layer. Physical Review E, 64: 66304 [CROSSREF][Crossref] , [Google Scholar] who studied a similar situation for layer of infinite lateral extent.
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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 | 0.001 |
| 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 | 0.001 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 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".