engleski

Effects of rough boundary and boundary conditions on the lubrication process with micropolar fluid

The lubrication theory is mostly concerned with the behavior of a lubricant flowing through a narrow gap. Motivated by the experimental findings from the tribology literature, we take the lubricant to be a micropolar fluid and study its behavior in a thin domain with specific rough boundary. We first consider (commonly used) zero boundary condition, and, after that, we impose non-zero boundary conditions for the microrotation. Using rigorous asymptotic analysis of the corresponding 3D boundary value problems, we propose simplified mathematical models acknowledging the roughness-induced effects and the effects of the boundary conditions on the macroscopic flow. In case of non-zero boundary conditions, we study numerically the influence of the roughness on the performance of a linear slider bearing. The numerical results clearly indicate that the use of the rough surfaces may contribute to enhance the mechanical performance of such device.

lubrication process ; micropolar fluid ; nonzero boundary conditions ; rough boundary ; asymptotic analysis ; numerical results

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