Open AccessMathematical Simulation of local transfer for non-Newtonian uid in porous fabrics
Author(s) -
Yu. I. Dimitrienko,
LI Sh
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1392/1/012023
Subject(s) - non newtonian fluid , newtonian fluid , rheology , porous medium , carreau fluid , generalized newtonian fluid , mechanics , viscosity , filtration (mathematics) , materials science , pressure gradient , permeability (electromagnetism) , porosity , mathematics , physics , composite material , chemistry , membrane , shear rate , biochemistry , statistics
Many processes in the polymer composite, textile, food, and pharmaceutical industries are associated with the flow of non-Newtonian fluids in porous media. This paper considers the mathematical model of a multi-scale process for the filtration of non-Newtonian fluid in periodic porous fabrics. The model should be based on a three-dimensional Navier-Stokes equation with non-Newtonian Carreau-Yasuda viscosity using the asymptotic averaging method. A numerical algorithm was developed for solving local problems of non-Newtonian fluids in periodic cells, and the distribution of velocity, pressure and non-Newtonian viscosity in a single pore was obtained. The algorithm for calculating the permeability tensor is developed, and the effects of fluid rheology are also highlighted.