Models for Pressure Drop for Poiseuille Flow in Trapezoidal and Triangular Microchannels in Silicon
Bibliographic record
Abstract
Models, numerical and experimental results for developed laminar flow of liquids in long isosceles trapezoidal and triangular microchannels KOH-etched in < 100 > silicon substrates are reviewed and compared. The equivalent rectangle model (ERM) based on a novel model for the effective aspect ratio was developed for non-circular microchannels; it will be compared with the numerical results of Morini (2004) and McHale and Garimella (2010) as well as the extensive experimental data of Wu and Cheng (2003) for several trapezoidal and triangular microchannels. In addition, a simple correlation equation for all numerical and experimental data (62 points) is presented. The equivalent rectangle model is accurate with rms difference of 3.1%. A maximum difference of −7% occurs for data obtained for flow through four very narrow trapezoidal microchannels.
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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 | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.002 |
| Open science | 0.002 | 0.000 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 0.001 |
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".