On the Transition Between Aiding and Opposing Double-Diffusive Flows in a Vertical Porous Cavity
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Bibliographic record
Abstract
Double-diffusive natural convection in a vertical porous layer induced by horizontal gradients of heat and mass is studied analytically and numerically using the Darcy model with the Boussinesq approximation. The governing parameters of the problem are the Rayleigh number, RT the Lewis number, Le, the buoyancy ratio, N, and the aspect ratio of the porous matrix, A. An approximate analytical solution to the present problem is obtained on the basis of the parallel flow approximation. Two types of solutions are found to exist for the situation in which thermal and solutal buoyancy forces oppose each other and are of comparable intensity. The domains of existence of each type of solution are delineated in terms of the buoyancy ratio, N, and the Lewis number, Le. Solving numerically the full governing equations, it is demonstrated that multiple steady-state solutions are possible and they are found to agree with the analytical solution. The results obtained in this article complete the results available in the literature concerning this subject.
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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