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- In relation to this article, we declare that there is no conflict of interest.
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Received April 29, 2024
Accepted January 5, 2025
Available online November 25, 2025
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This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits
unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Resemblance and Difference in Hydrodynamic Aspects Between Critical Current Density in Water Electrolysis and Critical Heat Flux in Boiling System
https://doi.org/10.1007/s11814-025-00385-5
Abstract
Boiling and hydrogen evolving systems both exhibit N-shaped curves, which include peak points known as critical heat flux
(CHF) and critical current density (CCD). Since the CCD represents the maximum manageable current density, it would be
a tentative obstacle to improving the hydrogen generation rate using a water electrolysis. However, studies explaining the
mechanism of or modeling the critical current density (CCD) are scarcely performed. In contrast, substantial efforts have
been made to develop the CHF models in the nuclear engineering field, resulting in well-accepted CHF correlations. Based
on the analogous N-shaped curves in the two systems, the present study explores the CCD in hydrodynamic perspectives
by adopting CHF models. The critical superficial velocities of gas (bubbles), where CHF or CCD occurs are introduced
to compare the bubble generation rate adjacent to the surface. The result shows that the critical superficial velocity in the
hydrogen evolving experiment is about 100 times smaller than that predicted by the CHF correlation. It seems that remarkably
higher active nucleation site density in the hydrogen evolving system attributes the discrepancy. In a phenomenological
standpoint, the critical number of surrounding bubbles limiting the gas generation rate was estimated as six in the hydrogen
evolving system with a maximum error of 8.07%, which is similar to estimate of five in the boiling system. It is concluded
that the CCD phenomenon is governed by the hydrodynamic behavior of the bubbles adjacent to the surface similar to that
of the CHF. This work also insists that the key parameter governs CCD is active nucleation site density, while CHF can be
predicted well by physical properties of fluid solely.

