Insight into oscillation of wall temperature and horizontal Lorentz force in rotating water conveying solid aluminum oxide tiny particles nanolayer via simulation of finite element computation

Abstract

This present exploration aims to investigate the significance of the roles played by nanoparticles, nanolayer thickness, sinusoidal surface temperature, magnetohydrodynamic, and mixed convection fluid flow across extending surface. Our objective is to explore nanolayer mechanism, sinusoidal surface temperature, and nanoparticles volume concentration effects the dynamics of fluid. The leading equations of energy and momentum are converted into dimensionless form by using appropriate transformation. By using Finite element method (FEM) in MATLAB, the solution of final non-linear equations is obtained. Heat transfer and share stress augments with higher values of nanoparticle concentration $\chi$. Heat transfer rate and share stress has significant reducing behavior against greater values of rotating parameter. The amplifies in the magnetic strength causes declination in share stress coefficient $C{f}_{x}R{e}_x^{0.5}$ while share stress coefficient $C{f}_{x}R{e}_x^{0.5}$ has opposite behavior. When amplitude of surface temperature oscillation increase, the shear stress and heat transfer rate across the surface increases. To ensure the validity of present outcomes, a comprehensive comparison with existing outcomes is conducted and found an excellent relationship between them.