Abstract

The present comparative investigation unfolds the impacts of the soret mechanism, and generalized Fourier’s law among other flow parameters on non-Newtonian fluids flow over a nonlinear stretching surface. The compared two non-Newtonian fluids herein include Williamson and Casson fluids, with the imposition of the magnetic field, inclination angle, radiation, soret, dissipation, Joule heat, and the assumption of the non-Fourier’s concept. We utilized the appropriate similarity variables on the controlling flow PDEs models to obtain the required ODEs equations. The resulting ODEs systems are then solved numerically via the implementation of the collocation method with legendary polynomial as the basis function. In a limiting case, the model is in line with the earlier studies. The results herein identified that the Casson fluid possesses higher material conductivity than the Williamson fluid. The soret mechanism elevates the fluids flows, energy distributions, and fluid concentration significantly. Moreover, material with higher relaxation time signifies a lesser energy and velocity disposition throughout the entire medium. Other invaluable results are presented in the respective tables and graphs.