Low Frequency Oscillations Of Thin Airfoils In Subsonic Compressible Flows
Bibliographic record
Abstract
*† New and efficient analytical solutions are presented in this paper for the unsteady subsonic compressible flows past rigid and flexible airfoils executing low frequency oscillations. These solutions are obtained using a specially developed method based on velocity singularity associated with the airfoil leading edge and ridges (defined by the changes in the boundary conditions). Efficient analytical solutions in closed form are presented for the unsteady lift and pitching moment coefficients and for the chordwise distribution of the unsteady pressure difference coefficient in the general case of rigid or flexible airfoils executing oscillatory rotations and translations and flexural oscillations. A detailed analysis of the variations of these aerodynamic coefficients with the Mach number and with the reduced frequency of oscillations is also presented for the cases of oscillatory pitching rotations and normal-to-chord translations of rigid airfoils and for the flexural oscillations of flexible airfoils. The present solutions were found in very good agreement with previous incompressible flow results obtained in the limit case of incompressible flows by Theodorsen, Postel & Leppert and Mateescu & Abdo, and with previous compressible flow results.
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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 | 0.001 | 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".