Numerical Analysis of the Blade Coating Process Using Non-Newtonian Nanofluid with Magnetohydrodynamic (MHD) and Slip Effects

The coating process is widely used in various industries to enhance the production quality and efficiency. This study gives a comprehensive analysis of non-isothermal blade coating of non-Newtonian nanofluid incorporating magnetic, thermophoresis, and Brownian effects. The mathematical equations derived from mass, momentum, and energy conservation laws are initially streamlined by means of lubrication approximation theory (LAT). Subsequently, these dimensionless equations are solved in dimensionless form numerically using fourth order Runge–Kutta and Newton–Raphson methods. This study includes the effects of the slip parameter, magnetohydrodynamic (MHD) and other material parameters on the coating thickness ($h_1$), blade load, velocity, temperature, concentration, and pressure profiles through graphs and tables. The velocity of molten polymer increases near the substrate while it decreases near the blade surface as the slip parameter increases. The temperature distribution increases as the Brinkman number rises, with the maximum temperature occurring in the nip region of the flow. The coating thickness and load-carrying force for both plane and exponential coater increase with higher values of the magnetohydrodynamic (MHD) parameter.