A direct integration method for computation of gradually varied flow profiles
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Bibliographic record
Abstract
A simple procedure to compute the length of gradually varied flow profiles is presented. It is based on the direct integration of the dynamic equation for gradually varied flow, which forms the bases for existing methods of computing flow profiles. In these methods, a long reach for which the profile length is needed gets divided into several subsections, to ensure that the hydraulic exponents do not vary very much in the subsections. Since the proposed analytical method does not use the hydraulic exponent in its development, the flow profiles can be computed in one step and one can still get accurate results. The results of the profile computations based on existing methods are compared with the corresponding results of the present method. The results find direct application in hydraulic engineering practice, where flow profile lengths are needed for design purposes. Key words: gradually varied flow, flow profile computation, open channel flow, backwater curve, drawdown curve.
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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.
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