Compositional Variation Considering Diffusion and Convection for a Binary Mixture in a Porous Medium
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Bibliographic record
Abstract
In this article we study the compositional variation in a porous cavity having different aspect ratios, accounting for natural convection and for thermal, pressure, and molecular diffusion for a binary mixture. The momentum equation is represented by Darcy's law and is solved numerically together with the energy equation and the species conservation equation using the control-volume scheme. The binary mixture's density and viscosity, as well as molecular, thermal, and pressure diffusion coefficients, vary with temperature, composition, and, pressure. Various thermal boundary conditions are investigated. In the lateral heating case the Soret effect is found to be weak, whereas in the bottom heating condition the Soret effect is more pronounced. Such findings are also evident when both bottom and lateral heating are combined, as in the third case studied in this article. In the presence of pressure diffusion, the competing effect of the thermal and pressure diffusions affects the compositional variation in the cavity. Darcy number variation also plays an important role in the mixture variation in the cavity, because of the formation of convective cells. It is important to note that the Soret effect is dominant when bottom heating is present and therefore should not be neglected.
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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)
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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