Non-linear radiative flow of unsteady Oldroyd-B nanofluid subject to Arrhenius activation energy

Abstract

It is generally known that the inclusion of nanoparticles improves the thermal conductivity of liquids. Because of their improved thermophysical and rheological properties, these are appropriate for energy transport. The objective of the current analysis is to investigate the thermal transport analysis of unsteady magnetohydrodynamic (MHD) Oldroyd-B nanofluid generated by an impermeable stretching cylinder. An important aspect of this endeavor is to add the effects of Arrhenius activation energy for modified Buongiorno's model of nanofluid. In an axisymmetric flow situation, boundary layer approximations are used to simulate the model equations of thermal energy, momentum, and, concentration for Oldroyd-B nanofluid. To convert the leading PDEs into a nonlinear ODEs system, dimensionless quantities are utilized. The physical consequences of the dimensionless constraints on nanofluid velocity, temperature, and concentration are discussed and revealed via graphs. It is worth noting that enhancing the estimation of the activation energy parameter results in an increase in the nanoparticles concentration field. These findings also provide the impression that as the reaction rate parameter is increased, the rate of heat transfer over the surface of the cylinder drops. Additionally, with enhancing values of the temperature difference parameter, the thickness of the nanoparticle's concentration layer depreciates.