Blade coating analysis of carreau fluid model with Magnetohydrodynamics and slip effects

Abstract

Coating is a process that improves and enhances life, quality and efficiency of the web. Common industrial adhesive application to board and paper, metal foils polymer coatings, photographic film emulsions, recording films, textile fabrics, paints, coating on food items, medicine, catalogues are common examples. There are many fluids that are used as coatings. This paper analyses blade coating using both plane as well as exponential geometries along with slip and magnetohydrodynamics effects for a Carreau fluid model. To study the blade coating phenomenon, slip is introduced at the blade surface and a magnetic field is applied normal to the fluid flow. The LAT (Lubrication approximation theory) has been introduced to convert governing partial differential equations into a simpler form and a numerical solution is obtained by using shooting method. The significant physical quantities like volumetric flow rate, pressure, velocity, load, coated film thickness and pressure gradient are discussed in detail. The effects of power law index, slip parameter, Weissenberg number and Hartmann number on these physical quantities are presented. The observations are depicted in tabular data and in the graphical form as well. The Weissenberg number and Hartmann number play a very important role in controlling the load and coated film thickness.