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Journal of Applied Mechanics and Technical Physics

2021 year, number 3

Investigation of Helium Absorption by Microspheres and Composite Sorbent on Their Basis

A. S. Vereshchagin1,2,3, V. M. Fomin1,2,3, V. N. Zinoviev1, I. V. Kazanin1,2, A. Yu. Pak1, V. A. Lebig1,2,3
1Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
2Novosibirsk State University, Novosibirsk, 630090, Russia
3Novosibirsk State Technical University, Novosibirsk, 630073, Russia
Keywords: helium, natural gas, microspheres, separation, mathematical simulation, harmonics, ordinary differential equations, matrix exponent


Mathematical methods are developed to describe helium sorption by microspheres with a certain dispersion distribution. An analytical solution of the problem is derived and applied to expand the experimental dependences of the degree of helium absorption by microspheres on time into harmonics. As a result, the time characteristics of the sorption process can be analyzed.