Analysis of Alternating Current Electroosmotic Flows in a Rectangular Microchannel
Bibliographic record
Abstract
Electroosmotic flow is widely used as a primary method of species transport in microfluidic devices. The recent introduction of several alternating current (ac) based microfluidic applications has led to enhanced interest in time periodic electroosmotic flows. In this work, an analytical solution, via a Green's function formulation, is developed for ac electroosmotic flow through a rectangular microchannel for the case of a sinusoidal applied electric field. The response of the flow field to excitation by more complex waveforms is also investigated using numerical simulations. It is shown that the steady time periodic (after the effects of the initial impulse are dissipated) velocity profile is characterized by the ratio of the period of oscillation to the time scale for viscous diffusion, by the surface ζ-potential distribution, and by the channel aspect ratio. Impulsively started flows are also shown to exhibit interesting transient behavior resulting in a net positive velocity at the channel midpoint during the initial cycles prior to reaching the steady state oscillation. The influence of the particular excitation waveform is demonstrated to be more significant at lower frequencies since the bulk flow has more time to respond to instantaneous changes in the applied potential.
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How this classification was reachedexpand
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 | 0.001 |
| 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, 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".