Modeling two‐fluid response of thin elastic shells
Bibliographic record
Abstract
Abstract The interaction between a weak external shock wave and a thin elastic cylindrical shell filled with and submerged into fluids with different properties is considered. The interest in investigating such a system is largely driven by the need for an accurate assessment of the performance of a number of industrial systems in extreme conditions of operations, with offshore, chemical, aerospace and nuclear industries being examples. The interaction is simulated using a semi‐analytical approach based on combining the analytical techniques of mathematical physics with finite‐difference approximations, and a number of effects of practical interest are observed, some for the first time. Specifically, it is demonstrated that four different interaction scenarios are possible, depending on the ratio of the acoustic speeds in the internal and external fluids, ζ. The case of ζ=1 is the previously addressed scenario of two identical fluids. When ζ>1, the situation changes dramatically because the internal pressure wave propagates faster than the external one, and as a result, not one but two high‐magnitude wavefronts are observed in the external fluid. The case of ζ<1 is even more interesting, with the possibility of two sub‐scenarios: one where the classical ‘reflection‐focusing’ sequence is observed inside the shell, and one where not one but two focusings are seen, one before and one after the reflection of the internal wave from the shell surface. The effect of placing rigid co‐axial cores of various radii inside the shell on the hydrodynamic fields is discussed as well. Copyright © 2010 John Wiley & Sons, Ltd.
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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) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.002 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 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 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".