Abstract
The hydro-thermal features of 3D (3-dimensional) nonlinear Carreau fluid motion over a paraboloid surface of revolution are examined. The impacts of thermal radiation and mass transfer are considered during the fluid motion. The flow is modeled by a set of nonlinear coupled partial differential equations (PDEs) satisfying certain associated boundary conditions. Appropriate transformations are used to convert the coupled system of PDEs to ODEs. The resultant coupled ODEs system is solved analytically by using the well developed analytical procedure of Homotopy Analysis Technique (HAM). The influence of relevant parameters are investigated on the state functions of the Carreau fluid MHD motion by depicting 2D graphs. It has been found that the increasing thickness of paraboloid surface of revolution augments the fluid velocity and shear stress components, whereas drops the gradient in the velocity distribution. The enhancing Grashof number increases the fluid velocity components as well as its gradients. The increasing magnetic field strength retards the fluid migration, and therefore drops the velocity gradients. The increasing rotation parameter augments the horizontal component of velocity and reduces the velocity vertical component. The fluid temperature enhances with the increasing strength of radiation source, internal heat source, and reflection parameters. The enhancing chemical reaction parameter values drop the fluid concentration. The convective heat energy transport increases with the enhancing Brownian motion, while the convective mass transfer rises with the increasing radiation source strength. The results obtained are compared with a numerical technique by graphs and tables, where the accuracy and effectiveness of HAM is proved The agreement of the obtained results and the published research validates the exactness of the applied analytical technique.