New open channel with elliptic sides and horizontal bottom
Why this work is in the frame
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Bibliographic record
Abstract
This paper presents a new general open channel section with elliptic sides and horizontal bottom. The proposed section produces special channel forms, such as a circular section with a horizontal bottom, a circular section, and a rectangular section. Exact and approximate formulas for the area and perimeter of the channel are derived. These formulas are then used to develop an optimization model for determining the optimal section design that minimizes the total construction cost for excavation and composite linings. In addition, the most hydraulically efficient elliptic section was derived. The constraints of the optimization model include channel discharge and physical requirements, such as flow depth, top width, and side slope with fixed or depth-dependent freeboard. The cost performance of the proposed section was compared with another general open channel section (power-law) and the trapezoidal section using different design scenarios. The results show that the new section is substantially more economical and more flexible than the existing power-law section, and is generally superior to the trapezoidal section.
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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)
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