Author(s)

Gudrat Isfandiyar Kelbaliev, Manaf Rizvan Manafov, Fatma Rashid Shikhieva^*

Institute of Catalysis and Inorganic Chemistry Named after Academician Murtuza Naghiyev, Baku, Azerbaijan.

The hydrodynamics of the capillary flow of a viscous-plastic liquid in cylindrical rectilinear pores is considered, as a result of which the structural velocity distribution over the pore cross section is obtained. Analytical solutions are proposed for the equations of hydraulic diffusion and nonlinear filtration for a non-Newtonian fluid in a cylindrical porous medium. It is noted that when a non-Newtonian fluid flows in a porous medium, the filtration equations take a nonlinear form due to the effective viscosity, shear, and yield stresses taken into account in its structure. The proposed solutions make it possible to evaluate the state of the porous medium and its main parameters (permeability, hydraulic diffusion, and effective viscosity coefficients). The obtained solutions are compared with existing experimental data for non-Newtonian oils.

Stress and Shear Rate, Rheology, Structure and Structural Flow, Hydraulic Diffusion, Filtration, Porous Media, Effective Viscosity, Permeability

Kelbaliev, G. , Manafov, M. and Shikhieva, F. (2023) Rheology of a Viscous-Plastic Liquid in a Porous Medium. Open Journal of Fluid Dynamics, 13, 16-31. doi: 10.4236/ojfd.2023.131002.