Effects of Arrhenius activation energy in development of covalent bonding in axisymmetric flow of radiative-Cross nanofluid

Abstract

Abstract Numerical simulation and mathematical modeling are presented to propose the innovative concept of activation energy and binary chemical reaction aspects on unsteady axisymmetric flow of Cross nanofluid past a radially stretching surface. Non-linear thermal radiation is also taken into account. A revised model of nanoparticles is adopted to examine the impact of thermophoresis as well as Brownian diffusion on heat transfer mechanism. Boundary layer approximation is implemented to model the basic equations of nanoparticle concentration, thermal energy and momentum for Cross nanofluid in axisymmetric flow case. We have employed dimensionless quantities to alter the leading PDEs into nonlinear ODEs system. The numerical simulation is executed with the help of shooting Runge-Kutta Fehlberg approach. The heat transfer rate and resistance opposing to flow are measured with the guidance of Nusselt number and skin friction coefficient relations respectively. Fabulous results are achieved and also compared with existing work and noticed to be in excellent agreement. It is interesting to found that larger estimation of activation energy parameter resulted in the increment of nanoparticle concentration field. Additionally, nanoparticle concentration layer thickness is depreciated for higher values of temperature difference parameter and chemical reaction rate parameter. Furthermore, magnitude of surface drag force is diminished for appreciating values of Weissenberg number.