Geodesic
Determination of helium permeability of silica microspheres
Čelâbinskij fiziko-matematičeskij žurnal, Tome 9 (2024) no. 2, pp. 311-323

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This work is devoted to the study of helium permeability of hollow glass silica microspheres. To conduct the study, an experimental stand was prepared to obtain kinetic sorption curves for helium at given values of pressure and temperature. In the course of coordinating experiments and analyzing the helium sorption curves of silica microspheres in the temperature range $21.5$–$110.0$ $^{\circ}\mathrm{C}$, permeability parameters were obtained using a mathematical model: permeability and specific sorption volume. A new method is proposed for determining the distribution of microspheres according to characteristic permeabilities based on solving the inverse ill-posed problem for the integral equation. The obtained values are in good agreement with the results obtained using a previously developed mathematical model.
Keywords: helium, silica microspheres, sorption curve, mathematical model, permeability, specific sorption volume. 
@article{CHFMJ_2024_9_2_a17,
     author = {M. V. Frolov and A. S. Vereshchagin and I. V. Kazanin},
     title = {Determination  of helium permeability of silica microspheres},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {311--323},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2024_9_2_a17/}
}
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M. V. Frolov; A. S. Vereshchagin; I. V. Kazanin. Determination  of helium permeability of silica microspheres. Čelâbinskij fiziko-matematičeskij žurnal, Tome 9 (2024) no. 2, pp. 311-323. http://geodesic.mathdoc.fr/item/CHFMJ_2024_9_2_a17/