Non-Newtonian couple stress poroelastic squeeze film

• Numerical analysis of couple stress poroelastic squeeze film between two discs.
• Small elastic deformation of the porous disc calculated by the thin elastic layer model.
• Film thickness and friction coefficient increase with increasing the couple stress.
• These properties are reduced by permeability and elastic deformation.

The aim of this paper is to develop a new model of the interaction of a fluid film with a porous medium. The model takes into account the fluid inertia in both the lubricant and the porous matrix. Non-Newtonian behavior of the fluid, viscous effects in the porous matrix, and poroelasticity of the matrix are also considered. The main concerns are modeling and simulation of the squeeze film lubrication between two discs when one has a porous facing. The fluid flow is described using a reduced version of the Navier–Stokes equations in the fluid film, and the Darcy–Brinkman–Forchheimer generalized model in the porous matrix.The present study focuses on the combined effects of the non-Newtonian fluid lubricant and porous matrix deformation. The non-Newtonian behavior of the lubricant is described by the so-called couple stress model. The porous interface deformation is obtained using the thin elastic layer approach. The partial differential equations established in this study are discretized by finite differences. The resulting algebraic equations are solved using the Gauss–Seidel relaxation method.The numerical results of the present simulations show that all these effects have a significant influence on the porous squeeze film performance.