Elastohydrodynamic Lubrication of Porous Substrates. Application to Synovial Joint Analysis

This work presents computational results for an elastohydrodynamic model with a porous wall. The model - inspired by the cartilage exudation phenomenon arising in living joints - allows the lubricating fluid to be transferred from the porous walls to the flow channel and viceversa. The system is represented through a strongly coupled set of nonlinear equations which involves hydrodynamic lubrication, plane elasticity and continuity in porous media. The solution technique employed is based on the finite element method, Newton iteration and parametric continuation processes. The predictions obtained uncover mechanisms that might be responsible for the extremely low friction coefficients found in synovial joints.