Significance of thermophoresis and brownian motion on a reactive casson-williamson nanofluid past a vertical moving cylinder

The current paper addresses the boundary layer flow of two non-Newtonian fluids past a vertical moving cylinder in the presence of Brownian motion and thermophoresis effects. The two non-Newtonian fluids (Casson and Williamson fluids) are combined to give the fluid its viscoelastic property. To enable comparison between the flows of both non-Newtonian fluids, a novel parameterization approach is presented. Random motion of micronanoparticles that exists in the fluid is under consideration (i.e., Brownian motion). The influence of binary chemical reaction and the Arrhenius activation energy is accommodated in the mass transfer. The Galerkin Weighted Residual Method is used to solve the set of governing equations. To ensure the code validity, a comparison with earlier studies is conducted and an excellent consensus is accomplished. Comparisons of the pertinent parameters on the flow profiles are exhibited in graphical and tabular forms. Analyses reveal that when the yield stress is greater than the shear stress, the non-Newtonian Casson fluid parameter exhibits a solid feature. Moreover, the flow motion is not caused by the activation energy of the material reaction.