A. S. Vereshchagin, V. M. Fomin, “Mathematical model of motion of a mixture of gases and hollow microspheres with selective permeability”, Prikl. Mekh. Tekh. Fiz., 2015, Volume 56, Issue 5,Pages <nobr>5

This article is cited in 5 papers

Mathematical model of motion of a mixture of gases and hollow microspheres with selective permeability

A. S. Vereshchagin^abc, V. M. Fomin^abc

^a Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
^b Novosibirsk State University, Novosibirsk, 630090, Russia
^c Novosibirsk State Technical University, Novosibirsk, 630073, Russia

Abstract: A mathematical model of motion of solid particles with selective permeability and a mixture of moving gases is developed with the use of averaging principles of mechanics of multiphase media. The derived system of quasi-linear partial differential equations is studied for a particular one-dimensional isothermal case.

Keywords: permeability, helium, microsphere, mathematical model, mechanics of multiphase media.

UDC: 539.217.5

Received: 02.03.2015

DOI: 10.15372/PMTF20150501