Special Non-Newtonian Third-Grade Fluid Flow with Magnetic Field: A Numerical Study

Abstract

The Buongiorno model is utilized for the non-Newtonian third-grade fluid. With non-linear radiation and magnetic action, it incorporates both Brownian motion and thermophoresis processes. Aim this research is to look at non-Newtonian third-grade fluid boundary layer flow with non-linear solar energy thermal radiation and the magnetic effect. The similarity transformation is used to convert nonlinear PDEs into ODEs. Then numerically solved by shooting technique and the sixth-order R-K method. For various physical parameters, derived findings are graphically discussed. We believe that the current findings can be utilized to explain the non-Newtonian properties of second and third-grade fluids, as well as for applications in tribology, the automobile industry, and other fields.