Analytical treatment of flow in infinitely extended circular microchannels and the effect of slippage to increase flow efficiency
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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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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) | 0.001 | 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)
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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