Marangoni and Gravity Driven Convection in a Liquid Layer Overlying a Porous Layer: Lateral and Bottom Heating Conditions
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
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.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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