Mathematical model of the CO<sub>2</sub> solubilisation reaction rates developed for the study of photobioreactors
Bibliographic record
Abstract
The transfer of CO2 between the gas and liquid phases is one of the most important processes that occur during cultivation of microalgae in photobioreactors. A key factor that influences the rate of mass transfer is the concentration of CO2 in the liquid phase, which, in turn, depends on the rates of the reactions involved in CO2 solubilisation. This work presents a mathematical model for the rate of these solubilisation reactions with correlations that allow the calculation of the model parameters at temperatures from 5°C to 40°C. The model was validated using data of CO2 mass transfer from the literature obtained with two experimental systems: a bubble column for CO2 absorption and a flat‐panel photobioreactor. The model was further used to show that the increase in the rate of CO2 absorption that occurs at higher pH values is due to increased consumption of CO2(aq) in the solubilisation reactions and not to an increase in kLa. The pH decreases as CO2 is solubilised, therefore, when pH is controlled, the mass transfer rate is higher than it would be without pH control. Our model can be used as a tool to guide the operation, control and scale‐up of photobioreactors for the cultivation of microalgae.
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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 | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 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) | 0.003 | 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".