Numerical and experimental study of flow of a stratified fluid over a sill towards a sink
Bibliographic record
Abstract
The selective withdrawal of a linearly stratified fluid through a line sink at the base of a reservoir with a sill at the bed is investigated theoretically and experimentally. The nonlinear equations of motion are solved using a finite-difference technique in curvilinear coordinates in two dimensions. The evolution of selective withdrawal and the flow properties in the steady state are studied. Using the numerical results, an improvement is made to a previously proposed equation for the withdrawal-layer thickness upstream of a sill. Empirical equations are given for the critical Froude number and the density thickness. For comparison, experiments were conducted in a flume and particle image velocimetry technique was used to capture the flow field upstream of a sill during evolution of selective withdrawal. In general, good agreement is obtained between the numerical and experimental results. It is found that the presence of a sill causes the withdrawal layer to be thicker and to shift upward compared to the flat-bed case. The proposed equation for the withdrawal-layer thickness is verified experimentally.
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How this classification was reachedexpand
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)
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 teacher head, 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".