Lubrication as a damping force in the model of eye rotation under listing's constraint

Abstract

In this work, the effect of lubrication forces to the rotation of the eye is investigated where the eye is modeled as a perfect sphere and the movement is restricted to Listing's Law. For the lubrication forces, the nondimensional forms of Navier-Stokes and continuity equations are found, the boundary conditions are applied and the torques are derived. Then, Listing's constraint is introduced to the model and a potential function and lubrication as a damping force has been added. Using lubrication as a damping force, an optimum potential function for the model is derived.