MathematicalModeling of Transient Heat Conduction and Analysis of Thermal Stresses in a Thin Circular Plate
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
In this paper, the solution of the problem of transient heat conduction in a thin circular plate subjected to two types of boundary conditions is obtained by employing the integral transform technique in the form of infinite series. It is assumed that the plate is in the plane state of stress and initially the temperature of the plate is kept at zero. The first type of boundary condition is that in which the upper surface is kept at arbitrary temperature, lower surface is kept at zero temperature and circular edge is insulated. In the literature, the origin of coordinates is taken to be the centre of the lower surface of the plate. The second type of boundary condition is that in which a linear combination of temperature and its normal derivatives is prescribed on the circular edge as well as on the plane surfaces of the plate. The true results are given in the form of figure. Key words :
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) | 0.001 | 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 it