EFFECTS OF DISCRETE CONTROLLERS ON THE STABILIZATION OF NATURAL CONVECTION INDUCED BY INTERNAL HEAT GENERATION IN A SHALLOW CAVITY
Bibliographic record
Abstract
The stabilization of natural convection in a horizontal fluid layer with internal heat generation is studied numerically. The horizontal boundaries of the system are cooled isothermally. The system is stabilized using multiple sensors and discrete individually controlled actuators that modify the local intensity of the heating power. Discrete controllers of finite length and spacing are located on the horizontal boundaries of the system. The thermal sensors are positioned at a given vertical height of the fluid layer. Upon using a feedback proportional control, the heating power of the system is modulated in order to postpone the onset of motion or annihilate the intensity of convection. Two-dimensional numerical simulations of the full governing equations are carried out. The results are used to determine the influence of the governing parameters, such as the length and spacing of the actuators, positions of the thermal sensors, and control gain on the control of the system. A correlation equation is proposed to predict the critical length of the actuators, above which the no-motion state cannot be maintained in the layer, as a function of the Rayleigh number.
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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 | 0.000 | 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 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".