Mathematical analysis of roll coating process by using couple stress fluid

In this article, an incompressible isothermal model of a couple stress fluid between two rotating rolls is developed. Lubrication approximation theory is applied to simplify the flow equations. Exact solutions for velocity and pressure profiles are derived. Parameters of an industrial interest like pressure, separating force, coating thickness, detachment point and power transmitted by the rolls to the fluid are computed numerically. It is observed that the flow parameter is a controlling parameter for an exiting coating thickness. As the problem is symmetric, only one half of the geometry is considered.