Touching the classical scaling in penetrative convection
Bibliographic record
Abstract
The Cassini missions have identified the tiger stripes on Enceladus as the source of both thermal emission and plume jets. The hot spots in the tiger stripes are highly localized, and the plumes suggest active hydrothermal processes within the subglacial ocean of Enceladus. However, understanding the mechanism responsible for the heat anomalies in the tiger stripes remains a challenge. About 60 y ago, geoscientist George Veronis proposed a model for cold water oceans, along with the classical notion of a 1/3 scaling relationship between vertical heat transfer and the Rayleigh number ( Ra ), a dimensionless number representing the strength of buoyancy driving the convection within the fluid body. In this study, by delving into the steady coherent rolls arising in Veronis’ model, we first confirm the existence of the classical scaling as proposed. We identify two distinct pathways, characterized by different flow patterns, that converge to the unified classical scaling. In scenarios where stratification resulting from the density’s nonlinear temperature dependence is insignificant, convection rolls with fixed (width-to-height) aspect ratios achieve the classical scaling as Ra approaches infinity. Conversely, under high stratification levels, convection rolls with a heat-transport-maximizing aspect ratio achieve the classical scaling. This investigation also reveals a notable correspondence between optimal coherent rolls and turbulent flow patterns. Based on these coherent rolls, we offer insights into the formation of heat anomalies in the tiger stripes. The predicted heat flux through the ocean and the lateral flow length, are consistent with the measurements obtained by the Cassini spacecraft.
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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 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.003 |
| Scholarly communication | 0.001 | 0.002 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| 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".