Double-layer coating using MHD flow of third-grade fluid with Hall current and heat source/sink

Abstract

Multiple coating assessments of fiber optics utilizing micropolar convection non-Newtonian third-order liquid in the existence of Hall effect are examined and executed throughout this academic article. The wet-on-wet (WOW) coating process is used in the research. The fourth Runge–Kutta–Fehlberg algorithm is used to computationally solve the governing equations which dictate the movement of fluid inside the container. In this research, the RK4-Fehlberg algorithm is applied to get numerical results for a list of nonlinear ordinary differential equations (ODEs) describing liquid motion. Pictorially, the contribution of regulating variables on velocity and temperature profiles is examined. It is observed that the velocity profile enhances as the viscoelastic parameter increases and the velocity profile increases for both the non-Newtonian and Hall current increasing parameters in the presence and absence of magnetic parameter M. It is observed that the velocity of the fluid decreases with the increasing values of the Hartmann number m, Brinkman number Br, and magnetic parameter M. Furthermore, the temperature profile increase for BrBr, K, M, and opposite effect is observed for β\beta increases. The suggested approach is compared to homotopy analysis method (HAM) for verification purpose, and excellent agreement is obtained. In addition, as a restricted scenario, a connection is made with the existing literature.

Keywords

• double-layer coating
• numerical solutions
• mathematical modeling
• third-grade fluid
• hall current
• magnetohydrodynamics (mhd) flow
• heat source/sink