Abstract
Mathematical methods are developed to describe helium sorption by microspheres with a certain size distribution. An analytical solution of the problem is derived and applied to expand the experimental dependences of the degree of helium sorption by microspheres on time into harmonics. As a result, the time characteristics of the sorption process can be analyzed.
Similar content being viewed by others
REFERENCES
V. M. Fomin, V. N. Zinovyev, I. V. Kazanin, et al., “Method of Separation of a Multispecies Vapor–Gas Mixture," RF Patent 2012118350, MPK B 01 D 53/02," Publ. 03.05.2012, Bul. No. 6.
V. P. Fomichev, V. M. Fomin, L. N. Puzyrev, et al., “System and Method of Separation of a Gas Mixture," RF Patent 2291740, MPK B 01 D 69/12, B 01 D 61/00, and B 01 D 53/22, Publ. 24.02.2005.
S. V. Dolgushev, V. M. Fomin, and V. P. Fomichev, “Method of Separation of a Gas Medium," RF Patent 2161527, MPK7 B 01 D 53/22, B 01 D 61/00, Publ. 17.01.2000.
A. S. Vereshchagin, “Glass Spheres for Solar Gas," Nauka iz Pervykh Ruk 5, 32–37 (2010).
A. S. Vereshchagin, V. N. Zinovyev, V. M. Fomin, et al., “Estimate of the Permeability Coefficient of Microsphere Walls," Vestn. Novosib. Gos. Univ., Ser. Fizika 5 (2), 8–16 (2010).
I. V. Kazanin, V. N. Zinovyev, A. Yu. Pak, et al., “Permeability of Hollow Microspherical Membranes to Helium," Inzh.-Fiz. Zh. 89 (1), 240036 (2016).
R. T. Tsugawa, I. Moen, P. E. Roberts, et al., “Permeation of Helium and Hydrogen from Glass-Microsphere Laser Targets," J. Appl. Phys. 47 (5), 1987–1993 (1976).
V. N. Zinovyev, I. V. Kazanin, V. A. Lebiga, et al., “Co-Extraction of Water Vapor and Helium from Natural Gas," Teplofiz. Aeromekh. 23 (5), 771–777 (2016) [Thermophys. Aeromech. 23 (5), 741–746 (2016)].
A. S. Vereshchagin, I. V. Kazanin, V. N. Zinov’ev, et al., “Mathematical Model of Permeability of Microspheres with Allowance for their Size Distribution," Prikl. Mekh. Tekh. Fiz. 54 (2), 88–96 (2013) [J. Appl. Mech. Tech. Phys. 54 (2), 243–250 (2013)].
A. S. Vereshchagin, V. N. Zinovyev, V. M. Fomin, et al., “Determination of the Permeability of Microspherical Membranes to Helium Based on the Experimental Time Dependence of Helium Sorption by these Membranes," Inzh.-Fiz. Zh. 92 (4), 1059–1064 (2019).
R. M. Barrer, Diffusion in and Through Solids (Cambridge University Press, Cambridge, 1951) (Cambridge ser. phys. chem.).
S. K. Godunov, Ordinary Differential Equations with Constant Coefficients (Izd. Novosib. Gos. Univ., Novosibirsk, 1994) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2021, Vol. 62, No. 3, pp. 60-70.https://doi.org/10.15372/PMTF20210306.
Rights and permissions
About this article
Cite this article
Vereshchagin, A.S., Fomin, V.M., Zinovyev, V.N. et al. INVESTIGATION OF HELIUM SORPTION BY MICROSPHERES AND COMPOSITE SORBENT ON THEIR BASIS. J Appl Mech Tech Phy 62, 401–410 (2021). https://doi.org/10.1134/S0021894421030068
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021894421030068