Open AccessNonlinear sorptive effects during the pumping of a nanofluid through porous medium
Author(s) -
V. A. Demin,
Boris S. Maryshev,
A. I. Menshikov
Publication year - 2020
Publication title -
vestnik permskogo universiteta. seriâ, fizika
Language(s) - English
Resource type - Journals
ISSN - 1994-3598
DOI - 10.17072/1994-3598-2020-4-09-16
Subject(s) - porous medium , nanofluid , materials science , porosity , mechanics , saturation (graph theory) , nonlinear system , darcy's law , permeability (electromagnetism) , sorption , particle size , thermodynamics , nanoparticle , membrane , composite material , chemical engineering , adsorption , chemistry , nanotechnology , physics , mathematics , biochemistry , organic chemistry , combinatorics , quantum mechanics , engineering
Filtration process of a nanofluid with particles size less than 100 nm through a porous medium is analyzed theoretically on the base of direct numerical simulation. Mathematical description of this process is fulfilled using the MIM model and Darcy's law, which are modified to take into account the nonlinear reverse reaction of sorption properties of the material on the intensity of pore velocity. A new parameter, which characterizes this nonlinearity, is introduced into the model. In fact, it represents the value of critical velocity for particle separation from the pore walls by the flow. The values of permeability and porosity decrease in dependence on time during the saturation of porous medium with nanoparticles. These parameters are related with each other by the Kozeny–Carman equation. The results of calculations show that the variation of the critical velocity for particle separation significantly affects on the dynamics of redistribution of the mobile and immobile impurity in porous material.