Theoretical Analysis of Magnetohydrodynamical Waves for Plasma based Coating Process of Isothermal Viscous-Plastic Fluid

Abstract

A mathematical formulation on coating of a thin film for a compressible isothermal magnetohydrodynamic (MHD) viscous-plastic fluid flowing across a narrow gap between two rotating rolls is described in this article. The lubrication approximation theory is used to create and simplify the equations of motion required for the fluid injected for coating. The relation explaining MHD wave dynamics and instability is obtained by analytical calculations. According to the current investigation, the growth rate in the unstable MHD waves are numerically evaluated as the function of the concerned parameters, It's worth noting that the Lundquist and Prandtl's numbers are growth rate control parameters in unstable MHD modes. The results show that the viscous-plastic parameter and ratio of diffusion rate have a significant impact on the fundamental MHD dynamics. It is also concluded that the MHD effects have had a significant impact on the coating of Casson material.