Arrhenius Activation Energy Impact on 3D Unsteady Carreau Nanofluid Flow with Joule Heating and Nonlinear Thermal Radiation by Taylor Wavelet

This investigation focuses on the unsteady 3D electrically conducting Carreau nanofluid (CNF) flow over a bilateral nonlinear stretching sheet. In this study, a new mathematical model is developed that includes the effects of Arrhenius activation energy, nonlinear thermal radiation, and Joule heating, analyzed using the Taylor wavelet series collocation method (TWSCM). An appropriate similarity transformation is applied to transform the governing partial differential equations (PDEs) into nonlinear coupled ordinary differential equations (ODEs). These ODEs are tackled using TWSCM to explore the physical parameters' impact on fluids demonstrating shear thinning (SThin) and shear thickening (SThick) behavior. The investigation's findings indicate that the activation energy parameter and thermal Biot number amplify the concentration field. Furthermore, it is observed that the Nusselt number intensifies for the temperature ratio and thermal Biot parameters while it declines for the thermophoresis parameter and Eckert number.