Rayleigh-Taylor instability of a thin elastic solid loaded by a shock wave
Bibliographic record
Abstract
Growth of instability in a thin elastic solid accelerated by a gasdynamic shock tube is studied experimentally.Elastomers of different thicknesses, initial perturbation wavelengths, and initial perturbation amplitudes are examined-the initial perturbations are sinusoidal.Elastomer materials are used because of their hyperelasticity and very low elastic shear moduli, properties which facilitate examining the phenomenon of interest in a laboratory-scale, lowpressure shock tube.The samples are lightly supported in the shock tube test section to avoid the influence of boundary effects.The gas shock reflects off the sample, causing it to accelerate due to the reflected shock pressure.The dynamics of the sample is recorded using high-speed videography and photonic Doppler velocimetry (PDV) with the PDV configuration tracking the velocity of individual perturbation peaks and troughs of the sample free surface.The experimental results are compared against analytical Rayleigh-Taylor stability boundaries and amplitude growth rates found in the literature.Agreement between experiments and theory is found in that the samples that are predicted by theory to be unstable do experimentally display large perturbation amplitude growth while the samples predicted by theory to be stable experimentally display no significant perturbation amplitude growth.Although front authored by a single man, this thesis could not have seen the light of day without the help, support, and insight of many.Chief amongst the supporters stands my thesis advisor, Professor Andrew J. Higgins who provided me throughout my academic journey with an honest mentor-student relationship both in and out of the laboratory.Thanks to him my trek through graduate school was a genuine apprenticeship filled with discoveries and learning experiences, experiences which in turn have equipped me with a robust set of technical, ethical, and even administrative competences that are sure to be of great use throughout the remainder of my life.Thank you Professor for helping little ol' me stretch my horizon beyond the narrow scope of my tenderfoot gaze.Gratitude is also extended to Professor Jason Loiseau and Professor Oren Petel for their useful input with regards to all manners PDV.Lemuel Santos of General Fusion Inc. is also thanked for assistance with the PDV data processing
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.002 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.004 | 0.001 |
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 source (direct Gemma or distilled Codex), 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".