Analytical treatment of flow in infinitely extended circular microchannels and the effect of slippage to increase flow efficiency
Bibliographic record
Abstract
Slippage of liquids at hydrophobic surfaces in microchannels has frequently been observed. We present here an analytical solution for oscillating flow in circular microchannels by combining the electrokinetic transport phenomena with Navier's slip condition. For pressure-driven flow, our results suggest that slippage of a typical electrolyte solution at a channel wall with a 10% slip length can improve fluid flow rate by about 20%. With respect to electro-osmotic pumping at a given flow rate, we showed that the voltage requirement for a typical electrolyte solution can be greatly reduced, by as much as 90% for a 1% slip length and 99% for a 10% slip length. Our results are useful to precisely control time-dependent microflow in microfluidic microelectromechanical system devices. They also provide design guidelines to improve the efficiency of lab-on-a-chip devices and miniature mechanical pumping/cooling systems by inducing slippage of liquids at the channel wall.
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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) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 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".