Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
We present results on the isothermal laminar flow of a thin fluid layer over a sphere as it exits from a small hole at the top of the sphere. Such a flow can be observed in a globe fountain. The fluid is taken to be viscous, incompressible and Newtonian while the flow is assumed to possess azimuthal symmetry. The governing Navier-Stokes equations are solved subject to no-slip and impermeability boundary conditions on the surface and the dynamic and kinematic conditions along the free surface. An approximate analytical solution for the steady-state flow has been derived by expanding the flow variables in powers of a small parameter, d, which represents the shallowness parameter. The leading and first-order terms in the series have been determined and the findings demonstrate that for thin flows the approximate solution is indeed accurate. Various results and comparisons are presented and discussed. Lastly, the analysis was also extended to solve the problem of thin flow over a cylinder and the fundamental differences between the flow over a sphere and that over a cylinder have been identified and explained. The technique and the approach adopted can be used to model and understand similar thin flows that occur in other settings.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.001 | 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 it