Theoretical Solutions for Finite-Span Wings of Arbitrary Shapes Using Velocity Singularities
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
This paper presents a new method of solution for the e nite-span wings of arbitrary shapes, which avoids the dife culties of the previous methods. This method uses velocity singularities in the Trefftz plane to derive the contributions in the solution of the circulation distribution caused by the changes in the spanwise variation of the wing chord and incidence. The new functions derived for these contributions contain both natural and forced symmetry and antisymmetry terms (which are absent in the previous methods ) and thus represent a correct mathematical modeling of the physical problemsthat lead to highly accurate theoretical solutions. The method has beenvalidatedbycomparisonwiththesolutionsobtainedbyRasmussenandSmithandCarafoliforrectangularand tapered wings of uniform incidence, and with the panel method results by Katzand Plotkin. Accurateand efe cient theoretical solutions of aeronautical interest are then obtained for wings with asymmetric incidence distributions caused by symmetric and antisymmetric dee ections of e aps and ailerons and for wings with curved leading and trailing edges and variable incidence, which are dife cult to model in current panel methods.
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 | 0.000 | 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 it