Blade-coating analysis of a second-grade fluid with a porous plate

An analysis has been presented for the second-grade fluid of blade coating with a moving porous substrate. The lubrication approximation theory has been used to simplify the equations of motion. For the investigation of the nature of the steady solutions that exist, we make use of the combination of exact solution and numerical methods. The expressions for the velocity profile, rate of volumetric flow, and pressure gradient are found in the form of exact solutions. Furthermore, the quantities of interest by an engineering point of view, such as pressure distribution and load, are also computed. Some results are shown graphically while others are given in tabulated form. It is found that the non- Newtonian parameter " and Reynolds number Reserve as the controlling parameters for the blade-coating process.