NEW MODELS IN MICROPOLAR FLUID AND THEIR APPLICATION TO LUBRICATION
Guy Bayada, Nadia Benhaboucha, Michèle Chambat · Mathematical Models and Methods in Applied Sciences · 2005
A thin micropolar fluid with new boundary conditions at the fluid-solid interface, linking the velocity and the microrotation by introducing a so-called "boundary viscosity" is presented. The existence and uniqueness of the solution is proved and, by way of asymptotic analysis, a generalized micropolar Reynolds equation is derived. Numerical results show the influence of the new boundary conditions for the load and the friction coefficient. Comparisons are made with other works retaining a no slip boundary condition.