Soret and Double Diffusive Convection in a Porous Cavity
Bibliographic record
Abstract
Natural convection in a rectangular porous medium filled with a binary fluid is studied analytically and numerically. The two vertical walls of the cavity are subject to constant gradients of temperature while the two horizontal ones are adiabatic and impermeable. Solutal gradients are assumed to be induced either by the imposition of constant gradients of concentration on the vertical walls (double-diffusive convection, a = 0) or by the Soret effect (a = 1). Governing parameters of the problem under study are the thermal Rayleigh number RT, buoyancy ratio φ, Lewis number Le, and aspect ratio of the cavity, A. An analytical solution, based on the parallel flow approximation, is reported for tall enclosures. The analysis reveals that there is a range of buoyancy ratios φ which yields up to three analytical solutions for a given set of governing parameters. The range of buoyancy ratios for the existence of multiple solutions is found to depend on the type of convection induced by the solutal gradients, i.e., on the constant a. In the range of the governing parameters considered in this study, good agreement is observed between the analytical predictions and a numerical solution of the full governing equations.
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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 | 0.000 | 0.001 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.001 | 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".