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Updated: Jul 2, 2025

Quantifying Mixing using Magnetic Resonance Imaging
Published on: January 25, 2012
Robust Reconstruction of the Void Fraction from Noisy Magnetic Flux Density Using Invertible Neural Networks.
Nishant Kumar1, Lukas Krause2,3, Thomas Wondrak3
1Institute of Software and Multimedia Technology, Technische Universität Dresden, 01187 Dresden, Germany.
Detecting gas bubbles in electrolysis is crucial for efficient hydrogen production. Invertible Neural Networks (INNs) offer a robust solution for estimating bubble presence and conductivity, outperforming traditional methods.
Area of Science:
- Electrochemistry
- Applied Physics
- Computational Science
Background:
- Electrolysis is key for sustainable hydrogen production, but gas bubbles hinder efficiency and increase energy use.
- Detecting these bubbles is difficult due to opaque electrolysis cell walls.
- Gas bubbles alter electrolyte conductivity, causing measurable magnetic flux density fluctuations.
Purpose of the Study:
- To develop and compare methods for detecting gas bubbles in electrolysis cells.
- To estimate electrolyte conductivity and void fraction using magnetic field measurements.
- To evaluate the robustness of Invertible Neural Networks (INNs) against Tikhonov regularization for this inverse problem.
Main Methods:
- Solving the inverse problem of the Biot-Savart Law to relate magnetic flux density to internal cell properties.
- Implementing and comparing Invertible Neural Networks (INNs) and Tikhonov regularization techniques.
- Analyzing the impact of varying noise levels on the performance of each method.
Main Results:
- Invertible Neural Networks (INNs) demonstrate superior robustness in solving the inverse problem compared to Tikhonov regularization.
- INNs are more effective when dealing with unknown or dynamic noise in magnetic flux density measurements.
- The study validates the potential of using external magnetic sensors for non-invasive bubble detection.
Conclusions:
- INNs provide a more reliable approach for monitoring and optimizing electrolysis processes by accurately detecting gas bubbles.
- This magnetic-based sensing method, enhanced by INNs, offers a promising avenue for improving hydrogen production efficiency.
- Further research can explore advanced INN architectures for real-time monitoring in industrial electrolysis systems.
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