Abstract
Non-Newtonian fluids have a wide range of engineering applications, which has drawn researchers to study their puzzling rheology as well as the transport of thermal and somatic energy behaviors. The researchers provide a variety of empirical models to describe the behavior of the non-Newtonian fluids because non-Newtonian fluids alter their flow behavior in response to the applied stress. This study considered a two-dimensional transport mechanism in viscoelastic fluid over convectively heated surface moving with non-uniform velocity is modelled via simplified conservation laws by considering temperature and concentration gradients. Axisymmetric PDEs are further transformed into their dimensionless forms under similarity principle. The associated set of models are solved numerically using finite element numerical technique. Convergent mesh free solutions are further utilized in exploring the underlying physics. The significant role of temperature gradient in transporting species observed whereas impact of compositional gradient in transferring the heat energy is investigated. Brownian motion of solid nano-sized structures in viscoelastic non-Newtonian fluid is rheological observed to strongly impact the simultaneous transport of heat and mass. Convectively heated surface is also responsible for thermal enhancement. Convective transport is being accelerated by convectively varying amount of species at the con-vectively heat surface of cylindrical body.