Effect of Air Pressure Difference on the Stability and Sensitivity of Simplified Curtain Drawing Flow

Abstract

Stability and sensitivity of the curtain drawing flow have been investigated by employing the simplified one-dimensional viscocapillary model. A time-dependent model has been derived using the lubrication approximation and integral momentum balance approach of two-dimensional curvilinear Navier-Stokes equations. Process stability and sensitivity have been examined by considering linear stability and frequency response methods for a linearized curtain system, respectively. Among the process conditions affecting the curtain dynamics, the effect of air pressure difference across the curtain has been mainly focused upon. It is shown that the air pressure difference makes the system less stable and more sensitive to disturbances, leading to curtain deflection and a slightly longer trajectory.