Thermodynamic dependences of slip length for nanofluidic flows over crystalline surfaces: Predictions of molecular theory of solvation
Bibliographic record
Abstract
Abstract We study the pressure and temperature dependence of the hydrodynamic slip length for the laminar flow of water near the crystalline surfaces of gold, copper, and nickel by the methods of nonequilibrium statistical mechanics. This study is further development of our previous work on formulation of the molecular theory of hydrodynamic (slip) boundary conditions in nanofluidics. Phenomenological picture relates slip length to viscosity of the liquid, and establishes the direct proportionality among them. Any difference between this phenomenological approach and measurements could not be explained, unless one uses the molecular theory of liquids and an appropriate atomistic model for surface corrugation. To vindicate the anomaly, we refer to the notion of formation and rupture of the hydrogen bond network in water. To verify this hypothesis, we apply the theory and perform calculations in the entire range of temperatures for the stable liquid phase and for pressures up to 100 MPa. The variation found in the slip length is of two orders of magnitude, which is much more than the variation in the viscosity alone. We validate our concept by referring to observable changes in the liquid microscopic structure and relating them with the theory. The information obtained is relevant for rational design of new MEMS/NEMS devices. © 2009 Wiley Periodicals, Inc. Int J Quantum Chem, 2009
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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 | 0.000 |
| 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.
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".