Open AccessModeling the nonlinear permeability of porous composite structures with non-Newtonian fluids
Author(s) -
Yu. I. Dimitrienko,
LI Sh
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/934/1/012014
Subject(s) - compressibility , non newtonian fluid , newtonian fluid , darcy's law , mechanics , homogenization (climate) , generalized newtonian fluid , porous medium , permeability (electromagnetism) , nonlinear system , anisotropy , materials science , herschel–bulkley fluid , viscosity , porosity , mathematics , physics , composite material , chemistry , shear rate , biodiversity , ecology , biochemistry , quantum mechanics , membrane , biology
This work is related to the modelling filtration flow of an incompressible non-Newtonian viscous fluid in porous composite structures. A physical mathematical model of an incompressible non-Newtonian fluid flowing in a porous composite structure has been proposed. The pore–scale description of flow in a reinforced composite is obtained using asymptotic homogenization method. Then, the nonlinear filtration law is investigated theoretically using the anisotropic tensor function representation of the tensor independent variable. The finite element method was used to calculate the local problem, and the distribution of single hole velocity, pressure and non-Newtonian viscosity was obtained. Based on the numerical results verified by the famous Darcy’s law, the nonlinear filtration law of Carreau viscosity fluid was explored and the effective permeability under different parameters was obtained.