A computational study on the sensitivity of slip constraints in the blade coating process of an electrically conducting oldroyd 4-constant fluid

The blade coating process holds significant importance due to its widespread application in manufacturing products such as newspapers, photographic film, fibers, catalogs, and magnetic storage media. Its economic impact has driven extensive research aimed at deepening the understanding of the underlying physical mechanisms, ultimately leading to improvements in process efficiency and optimization. Therefore, this article investigates the blade coating process of an electrically conducting Oldroyd 4-constant liquid with velocity slippage on the blade surface. The impression of viscous dissipation is also inspected through the energy equation. The mathematical equations are modeled with the use of lubrication approximation theory and the normalized equations of the Oldroyd 4-constant fluid and are numerically solved by the shooting method. To offer valuable insights, the pressure, pressure gradient, velocity, temperature, and load metrics are calculated and displayed in graphs and tables. It is found that liquid velocity and pressure decrease as the Hartmann number increases. As the Brinkman number increases, the temperature distribution increases, with the peak temperature appearing in the narrowest region of the flow.