Instantaneous Thermal-Diffusion and Diffusion-Thermo Effects on Carreau Nanofluid Flow Over a Stretching Porous Sheet

Abstract

In this study, the system of nonlinear partial differential equations of boundary-layer steady flow of Carreau nanofluid over a moving stretching sheet is modulated. Moreover, both thermal diffusion and diffusion thermo effects are considered. This system has been simplified into a system of nonlinear ordinary differential equations using appropriate similarity transformations. Then it has been solved by using the multi-step differential transformation method and the differential transformation method with Padé approximation. These methods represent approximations with a high degree of accuracy and minimal computational effort for studying the particle motion in a steady boundary layer flow and heat transfer over a porous moving plate in presence of thermal radiation. In addition, the velocity, temperature and nanoparticles concentration profiles are obtained and depicted graphically in the current study. The porosity parameter effect on the stretching velocity is analyzed and it is shown that the increase of porosity parameter tends to reduce the stretching velocity.