Steady mathematical modeling and numerical analysis of Cross magneto‐nanofluid flow over a wavy surface with heat and mass transfer features

Abstract

AbstractMixed convectively driven wavy flow of Cross‐generalized fluid is modeled on a wavy surface with the importance of wavy surface amplitude. The periodic nature of the flow is effectively configured and is declared the main theme of this study. However, some physical features are considered together with the flow of heat and mass. The effect of external magnetic field, heat generation/absorption, thermal radiation, and linear chemical reaction are comprehensively deliberated during the typical wavy flow. The low Reynolds approximation theory is utilized for the boundary layer governing equations. Specifically, the wavy surface amplitude is played an integral part in modeling the GNF. The mathematical equations are formed in terms of partial differential equations (PDEs) with the physical and chemical impacts. The nonlinear PDEs are then transformed into ordinary differential equations (ODEs) by utilizing the dimensionless local similar. The whole investigation is further extended with the features of heat and mass flows in the presence of Brownian motion and thermophoretic forces. To demonstrate the importance of the leading dimensionless physical factors, a modified version of the collocation methods, namely modified bvp4c is applied. The significant results are displayed via drag forces, heat and mass transmission rates, and velocity of the fluid. Significant uplifted behavior of skin friction is noticed by considering the higher values of wavy surface amplitude. The higher values of the newly introduced Weissenberg number are predicted an increasing velocity of the fluid. The higher Richardson number boosted the material's velocity. The rates of heat and mass flows are noticed higher for escalated values of chemical reaction and radiation parameters, respectively. The Brownian motion and thermophoretic forces enhanced the concentration of the materials. A strong comparison with the previous works is provided to ensure the validity of the entire numerical method.