Stability of buoyancy-driven flow in a vertical channel with one heated wall
Bibliographic record
Abstract
The stability of the buoyancy-driven flow in a channel between an isothermal heated vertical wall and an adiabatic vertical wall is investigated by numerical integration of the derived two-dimensional stability equations for this type of buoyant flow. Stability calculations are carried out for a Prandtl number of 0.707 inside four vertical channels at Grashof numbers of 6.1×1010 and 1.49×1011 and with length-to-width aspect ratios of 8, 10, 40/3, and 20. The flow within the channel is numerically modeled by means of two-dimensional direct numerical simulations (DNSs), and the solved temperature and velocity fields are used as the base flow properties in the derived stability equations. Solutions of the stability equations yield the phase velocity, wave number, and growth rate for upper- and lower-branch neutrally stable disturbances, disturbances with maximum growth rates, and disturbances with phase velocities equal to the maximum velocity of the base flow inside the vertical channels. The predictions of the linear stability theory are compared with the disturbance growth observed in the simulated flow by means of a short-time Fourier transform of the velocity field computed from the DNS. The results show that while a range of disturbance wave numbers may be amplified in the channel, those that sustain the largest linear amplification have phase velocities equal to the peak velocity of the flow near the heated wall. The frequency of the most amplified disturbance increases linearly with the channel aspect ratio.
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.
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 | 0.000 |
| 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 | 0.001 |
| Scholarly communication | 0.001 | 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 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".