Viscoelastic nanofluids flow through Darcy–Forchheimer porous media with Newtonian conditions

This research is conducted by considering the Darcy–Forchheimer viscoelastic non-Newtonian fluids (NNF) generated by the movement of surface. Two types NNF namely Walter’s liquid B (WLB) and second grade (SG) fluids are chosen as the working fluids. Cattaneo–Christov energy diffusion model is carried out for the energy transmission analysis. Newtonian heating (NH) and Newtonian concentration (NC) conditions are imposed for the solutal and thermal analysis. The model is formulated by the application of boundary layer technique. These equations are converted into non dimensional model by the implication of similarity variables. The numeric solutions are executed by the utilization of Runge–Kutta–Fehlberg-45 order scheme. The results are presented by numeric benchmarks and graphical illustrations. A comparative discussion of WLB and SG fluids is reported. A comparative visualization shows that the higher velocity profile is achieved for SG fluid case while temperature and concentration profiles are larger in the case of SG fluid. The Brownian movement and thermophoretic constraints have similar influences on temperature. The Brownian movement constraint has reverse trends on concentration and temperature.