Journal of Machine and Computing


A Machine Centric Computing Model for IoT Based Estimation of Bubble Diameter in Gas Liquid Systems



Journal of Machine and Computing

Received On : 19 April 2025

Revised On : 03 July 2025

Accepted On : 10 July 2025

Published On : 05 October 2025

Volume 05, Issue 04

Pages : 2006-2018


Abstract


In gas–liquid systems, the precise estimation of bubble diameter plays a critical role in analyzing mass transfer, interfacial area, and flow dynamics. We have suggested a machine-centric IoT-integrated computing paradigm called BubbleGLS, which can estimate bubble diameter in real-time leveraging multimodal sensor data and hybrid machine learning. The overall system connects pressure, acoustic, flow and optical sensors that are located above the cylindrical reactor. These sensors record dynamic parameters which are denoised and normalised by means of wavelet filtering and Z-score normalisation. Bubble area, circularity, rise velocity, and acoustic signatures are used as feature extraction and combined through Dempster Shafer Theory which provides noise resistance. The learning engine consists of Inception network of spatial features based on an image and XGBoost of structured physical parameters. The model is deployed onto fog and edge devices, and it provides real-time lower than 30 milliseconds latency inference. The validation of 10 different flow regimes reveals that the level of the mean absolute error (MAE) output by BubbleGLS does not exceed 0.25 mm, whereas its R2 score is higher than 0.97, thus being superior to CNN-LSTM, MobileMe, and Random Forest. It is also resilient as it can remain steady in the accuracy in different noise levels that are up to 45dB. To be used in the smart industrial space where fast response and low cloud reliance are the key factors, BubbleGLS has been optimized. Its modular design and the aspect of this design being machine-specific allows it to be implemented on an otherwise distributed fluidic system with much little calibration to fit its recalibration. All in all, the system reveals a powerful potential in the future third-generation fluid monitoring system, promising a high performance, low-latency, and intelligent character of bubble diameter estimation in a full-scale gas and liquid scenario.


Keywords


Bubble Diameter Estimation, Gas Liquid Systems, Machine Learning, Edge Computing, IoT Sensors, Dempster Shafer Theory, Fog Analytics, Inception Network.


  1. M. Rosiak, B. Stanisławski, and M. Kaczmarek, “Optical Bubble Microflow Meter for Continuous Measurements in a Closed System,” Electronics, vol. 13, no. 5, p. 1000, Mar. 2024, doi: 10.3390/electronics13051000.
  2. E. E. Franco, S. Henao Santa, J. J. Cabrera, and S. Laín, “Air Flow Monitoring in a Bubble Column Using Ultrasonic Spectrometry,” Fluids, vol. 9, no. 7, p. 163, Jul. 2024, doi: 10.3390/fluids9070163.
  3. G. Toma and J. R. Alcántara Avila, “Experimental Optimization of a Venturi-Type Fine Bubble Generation System Based on Gas Absorption Rate,” Fluids, vol. 10, no. 2, p. 25, Jan. 2025, doi: 10.3390/fluids10020025.
  4. J. Wang, Z. Huang, Y. Xu, and D. Xie, “Gas–Liquid Two-Phase Flow Measurement Based on Optical Flow Method with Machine Learning Optimization Model,” Applied Sciences, vol. 14, no. 9, p. 3717, Apr. 2024, doi: 10.3390/app14093717.
  5. V. Bello, E. Bodo, and S. Merlo, “Optical Multi-Parameter Measuring System for Fluid and Air Bubble Recognition,” Sensors, vol. 23, no. 15, p. 6684, Jul. 2023, doi: 10.3390/s23156684.
  6. I. Starodumov et al., “Computer Vision Algorithm for Characterization of a Turbulent Gas–Liquid Jet,” Inventions, vol. 9, no. 1, p. 9, Jan. 2024, doi: 10.3390/inventions9010009.
  7. Y. Gou, D. Shi, and J. Wang, “Modeling and Reliability Evaluation of the Motion and Fluid Flow Characteristics of Spark Bubbles in a Tube,” Applied Sciences, vol. 15, no. 5, p. 2569, Feb. 2025, doi: 10.3390/app15052569.
  8. K. Karatayev and Y. Fan, “Modeling Liquid Droplet Sizes in Gas–Liquid Annular Flow,” Energies, vol. 17, no. 13, p. 3094, Jun. 2024, doi: 10.3390/en17133094.
  9. D. Han, C. Sun, T. Sun, J. Zhao, and S. Shi, “Hydrodynamic Characterization of Particle–Bubble Aggregate Transport: Bubble Load Dynamics During Vertical Ascent,” Processes, vol. 13, no. 4, p. 1218, Apr. 2025, doi: 10.3390/pr13041218.
  10. C. Li, S. Liu, and G. Liu, “Investigation of Gas-Liquid Mass Transfer in the Fuel Scrubbing Inerting Process Using Mixed Inert Gas,” Processes, vol. 12, no. 10, p. 2157, Oct. 2024, doi: 10.3390/pr12102157.
  11. M. M. Hoque, S. Mitra, and G. Evans, “Bubble size distribution and turbulence characterization in a bubbly flow in the presence of surfactant,” Experimental Thermal and Fluid Science, vol. 155, p. 111199, Jun. 2024, doi: 10.1016/j.expthermflusci.2024.111199.
  12. H. Yan, H. Zhang, L. Liu, T. Ziegenhein, And P. Zhou, “Effect of gas flow rate and nozzle diameter on bubble size and shape distributions in bubble column,” Transactions of Nonferrous Metals Society of China, vol. 34, no. 5, pp. 1710–1720, May 2024, doi: 10.1016/s1003-6326(24)66501-5.
  13. K. Arhar, M. Može, M. Zupančič, and I. Golobič, “Evaluation of Hydrogen Bubble Growth on a Platinum Microelectrode Under Varying Electrical Potential,” Applied Sciences, vol. 15, no. 8, p. 4107, Apr. 2025, doi: 10.3390/app15084107.
  14. S. Tosti and L. Farina, “Tritium Extraction from Liquid Blankets of Fusion Reactors via Membrane Gas–Liquid Contactors,” Journal of Nuclear Engineering, vol. 6, no. 2, p. 13, May 2025, doi: 10.3390/jne6020013.
  15. S. Mahmoudi and M. W. Hlawitschka, “Impact of Solid Particle Concentration and Liquid Circulation on Gas Holdup in Counter-Current Slurry Bubble Columns,” Fluids, vol. 10, no. 1, p. 14, Jan. 2025, doi: 10.3390/fluids10010014.
  16. H. Kim and C.-H. Park, “Estimation of Bubble Size and Gas Dispersion Property in Column Flotation,” Separations, vol. 11, no. 12, p. 331, Nov. 2024, doi: 10.3390/separations11120331.
  17. F. Maluta, F. Alberini, A. Paglianti, and G. Montante, “Hydrodynamics, power consumption and bubble size distribution in gas-liquid stirred tanks,” Chemical Engineering Research and Design, vol. 194, pp. 582–596, Jun. 2023, doi: 10.1016/j.cherd.2023.05.006.
  18. W. Fan et al., “A modelling approach to explore the optimum bubble size for micro-nanobubble aeration,” Water Research, vol. 228, p. 119360, Jan. 2023, doi: 10.1016/j.watres.2022.119360.
  19. L. Wang et al., “Bubble evolution and gas-liquid mixing mechanism in a static-mixer-based plug-flow reactor: A numerical analysis,” Chemical Engineering Journal, vol. 485, p. 149899, Apr. 2024, doi: 10.1016/j.cej.2024.149899.
  20. J. da Silva et al., “Beyond bubbles: Unraveling the interfacial pH effects on bubble size distribution,” Chemical Engineering Journal, vol. 494, p. 152943, Aug. 2024, doi: 10.1016/j.cej.2024.152943.

CRediT Author Statement


The authors confirm contribution to the paper as follows:

Conceptualization: Ramamoorthy M L, Gayathri C S, Ramya P, Indhuja N and Sathishkumar R; Methodology: Ramamoorthy M L and Gayathri C S; Software: Ramya P, Indhuja N and Sathishkumar R; Data Curation: Ramamoorthy M L, Gayathri C S, Ramya P, Indhuja N and Sathishkumar R; Writing- Original Draft Preparation: Ramamoorthy M L and Gayathri C S; Visualization: Ramya P, Indhuja N and Sathishkumar R; Investigation: Ramamoorthy M L, Gayathri C S, Ramya P, Indhuja N and Sathishkumar R; Supervision: Ramamoorthy M L and Gayathri C S; Validation: Ramya P, Indhuja N and Sathishkumar R; Writing- Reviewing and Editing: Ramamoorthy M L, Gayathri C S, Ramya P, Indhuja N and Sathishkumar R; All authors reviewed the results and approved the final version of the manuscript.


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Cite this article


Ramamoorthy M L, Gayathri C S, Ramya P, Indhuja N and Sathishkumar R, “A Machine Centric Computing Model for IoT Based Estimation of Bubble Diameter in Gas Liquid Systems”, Journal of Machine and Computing, vol.5, no.4, pp. 2006-2018, October 2025, doi: 10.53759/7669/jmc202505157.


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© 2025 Ramamoorthy M L, Gayathri C S, Ramya P, Indhuja N and Sathishkumar R. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.