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Knowledge-informed learning of rising bubbles in gas-liquid systems
KTH, School of Architecture and the Built Environment (ABE), Civil and Architectural Engineering, Concrete Structures.ORCID iD: 0000-0002-5239-6559
State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610065, China.
2026 (English)In: International Communications in Heat and Mass Transfer, ISSN 0735-1933, E-ISSN 1879-0178, Vol. 175, no P2, article id 111106Article in journal (Refereed) Published
Abstract [en]

Accurate prediction of rising bubbles in liquids is essential for optimizing gas-liquid processes in environmental systems, bubble columns, and heat exchangers. Existing empirical correlations are limited in generality, while conventional data-based models are often opaque. To address the challenges, this study combines domain knowledge with data-driven discovery to develop a knowledge-informed symbolic learning (KISL) framework that creates a generalizable, explicit velocity model for rising bubbles. The KISL model is established and validated using over 7000 measurements from 58 independent experimental studies covering 46 distinct gas-liquid combinations. It achieves high accuracy (coefficient of determination, CD = 0.96) and delivers substantial improvements over established correlations, reducing the root mean square error (RMSE) by 23–45% and the mean absolute error (MAE) by 28–48%. Compared with benchmark data-driven models, KISL reduces RMSE by 35–52% and lowers MAE by 40–50% when applied to independent datasets. Beyond predictive gains, the KISL framework enhances scientific understanding by revealing physically consistent parameter interactions and providing mechanistic insight that black-box approaches cannot. The resulting formulation is compact, transparent, and embeddable into process optimization tools and uncertainty-based evaluation frameworks. These findings establish KISL as a reliable physics-data hybrid modeling strategy and a transferable approach for advancing predictive modeling of multiphase processes.

Place, publisher, year, edition, pages
Elsevier BV , 2026. Vol. 175, no P2, article id 111106
Keywords [en]
Gas-liquid system, Knowledge-informed learning, Multiphase flow, Rising bubble, Terminal velocity
National Category
Energy Engineering Other Computer and Information Science
Identifiers
URN: urn:nbn:se:kth:diva-379295DOI: 10.1016/j.icheatmasstransfer.2026.111106ISI: 001729414300001Scopus ID: 2-s2.0-105034592173OAI: oai:DiVA.org:kth-379295DiVA, id: diva2:2053634
Note

QC 20260417

Available from: 2026-04-17 Created: 2026-04-17 Last updated: 2026-04-17Bibliographically approved

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Li, Shicheng

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