Soret and thermosolutal effects on natural convection in a vertical cavity filled with a binary mixture
Bibliographic record
Abstract
Abstract This paper reports an analytical and numerical study of the combined Soret and thermosolutal effects on natural convection in a vertical rectangular cavity filled with a binary mixture. Neumann boundary conditions for temperature and solute are applied to the vertical walls of the enclosure, while the two horizontal ones are assumed impermeable and insulated. The governing parameters for the problem are the thermal Rayleigh number, RaT, the Lewis number Le, the buoyancy ratio φ, the solute flux imposed on the vertical boundaries j, the Prandtl number Pr, the aspect ratio of the cavity A, and the integer number a (a = 0 for double diffusive convection and a = 1 for the coexistence of double diffusion convection and Soret effect). For convection in a thin vertical layer (A ≫ 1), analytical solutions for the stream function, temperature, and solute fields are obtained using a parallel flow approximation in the core region of the cavity and an integral form of the energy and constituent equations. Numerical solutions of the full governing equations are obtained for a wide range of the governing parameters. A good agreement is observed between the analytical model and the numerical simulations. Cet article fait état d'une étude analytique et numérique des effets combinés de Soret et thermosolutale sur la convection naturelle dans une cavité rectangulaire verticale remplie d'un mélange binaire. Des conditions à la frontière de type Neumann pour la température et le soluté sont appliquées aux parois verticales de la cavité, tandis que les deux parois horizontales sont supposées imperméables et isolées. Les paramètres fondamentaux du problème sont le nombre thermique de Rayleigh (Rat), le nombre de Lewis (Le), le rapport de flottabilité (φ), le flux de soluté imposé aux frontières verticales (j), le nombre de Prandtl (Pr), le rapport d'aspect de la cavité (A), et le nombre réel a (a = 0 pour la convection double diffusive et a = 1 pour la coexistence de la convection double diffusive et de l'effet de Soret). En ce qui concerne la convection dans une couche verticale mince (A ≫ 1), les solutions analytiques pour la fonction de courant, les champs de température et du soluté sont obtenus en utilisant une approximation d'écoulement parallèle dans l'espace du noyau de la cavité ainsi qu'une forme intégrale des équations d'énergie et de constituant. Les solutions numériques pour l'intégralité des équations fondamentales sont obtenues pour un large éventail de paramètres fondamentaux. Une bonne concordance est observée entre le modèle analytique et les simulations numériques. Can. J. Chem. Eng. © 2010 Canadian Society for Chemical Engineering
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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 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 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".