MATHEMATICAL MODEL OF MOTION OF A MIXTURE OF GASES AND HOLLOW MICROSPHERES WITH SELECTIVE PERMEABILITY
A. S. Vereshchagin1,2,3, V. M. Fomin1,2,3
1Khristianovich Institute of Theoretical and AppliedMechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
2Novosibirsk State University, Novosibirsk, 630090 Russia
3Novosibirsk State Technical University, Novosibirsk, 630073 Russia
Keywords: проницаемость, гелий, микросфера, математическая модель, механика многофазныхсред, permeability, helium, microsphere, mathematical model, mechanics of multiphase media
Abstract
A mathematical model of motion of solid particles withselective permeability and a mixture of moving gases is developedwith the use of averaging principles of mechanics of multiphase media.The derived system of quasi-linear partial differential equations isstudied for a particular one-dimensional isothermal case.
|
