Technical Simulation for the Hydromagnetic Rotating Flow of Carreau Fluid with Arrhenius Energy and Entropy Generation Effects: Semi-Numerical Calculations

Abstract

The present study aimed to investigate the influence of activation energy on the MHD Boundary layer of Carreau nanofluid using a semi-numerical/analytical technique. The governing formulated system of partial differential equations (PDEs) subject to appropriate boundary conditions is shortened to ordinary differential equations (ODEs) by convenient transformations. Generalized Differential Transform (GDTM) is used and compared with the Runge–Kutta Dahlberg method to find the results of the proposed system. GDTM is chosen to cure and overcome the highly non-linear differentiation parts in the present system of ODEs. Gradients of velocity, temperature, and concentration are computed graphically with different values of physical parameters. The solutions are offered in two cases, the first in the case of non-Newtonian fluid (We=0.2) and the other in the case of base fluid (We=0.2), which is concluded in the same figure. The accuracy of GDTM is tested with many existing published types of research and found to be excellent. It is worth-mentioned that the distribution of velocity growths at high values of power index law relation. This fluid model can be applied in solar energy power generation, ethylene glycol, nuclear reactions, etc.