Mathematical modeling of Johnson-Segalman fluid in blade coating process

This article deals with the blade coating process for Johnson-Segalman (JS) fluid using plane coater. Flow equations are simplified with the Lubrication approximation theory (LAT). The equations are normalized using suitable scales. Reduced equations are solved numerically using the shooting technique. Also, for small Weissenberg numbers, a perturbation solution is obtained. How Weissenberg number and slip parameter influence the pressure gradient, velocity, pressure, load, and thickness are expressed graphically and via table. In the present work, load on the blade is crucial as it controls the thickness quality. One observes that an increased Weissenberg number decreases load, while the coating thickness increases when compared to the viscous case.

Automated summary

This article discusses the blade coating process for Johnson-Segalman (JS) fluid using a plane coater. By solving the equations numerically and through perturbation solutions, the influence of Weissenberg number and slip parameter on pressure gradient, velocity, pressure, load, and thickness is explored. The study emphasizes the importance of load on the blade in controlling the quality of coating thickness and observes that coating thickness increases with increased Weissenberg number.