Squeeze Film Lubrication on a Rigid Sphere and a Flat Porous Plate with Piezo-Viscosity and Couple Stress Fluid

The paper aims to conduct a theoretical analysis about squeeze film behaviour with piezo-viscosity on a fluid lubricated with polar additives on a rigid sphere and a flat porous plate. By taking into account of microcontinum theory of stokes, Barus formula and Darcy’s equations, Reynolds equation in modified form is derived by bearing in mind the variation of viscosity along film thickness. An approximate analytical solution for fluid film pressure, dimensionless load and squeezing time is derived. The results are presented numerically and graphically. To make obvious the accuracy, the results are compared with accessible literature and a remarkable similarity is been reported

Geometrical influence of the source/drains configuration on the flow interactions in a sandbox model: A three-dimensional OpenFOAM simulation

This paper explores the interaction of different flow paths in a porous medium by observing the effect of having more than one drain in a simple model domain with a single source. The work is based on three-dimensional numerical simulations of the flow of injected water in a sandbox domain with porous volume completely filled by water and oil. The calculation uses the OpenFOAM library to solve Darcy’s equations for the dynamics of a two-phase flow: water as the wetting, oil as the nonwetting fluid. We observe the interactions of flows in different paths under changes of number of drains and their relative positions.

Spectral discretizations of the Darcy's equations with non standard boundary conditions

This paper is devoted to the approximation of anonstandard Darcy problem, which modelizes the flow in porous media, byspectral methods: the pressure is assigned on a part of the boundary.We propose two variational formulations, as well as three spectraldiscretizations. The second discretization improves the approximation of thedivergence-free condition, but the error estimate on the pressure is notoptimal, while the third one leads to optimal error estimate with adivergence-free discrete solution, which is important for someapplications. Next, their numerical analysis is performed in detailand we present some numerical experiments which confirm the interestof the third discretization.