Boltzmann Physical Kinetic for Deep Bed Filtration: Homogenization by solving operator equation in Hilbert space

17 Jan 2020 Dinariev Oleg Rego Afonso Bedrikovetsky Pavel

This paper develops a modified version of the Boltzmann equation for micro-scale particulate flow with capture and diffusion that describes the colloidal-suspension-nano transport in porous media. An equivalent sink term is introduced into the kinetic equation instead of non-zero initial data, resulting in the solution of an operator equation in the Fourier space and an exact homogenization... (read more)

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  • FLUID DYNAMICS