Non-similar mathematical and dynamical analysis of Cross nano-materials over a gravitationally effected surface

This research work is associated to the exploration of the significant phenomenon namely, three equa-tions non-similar model of Cross liquid flow over a moving surface. The effects in the form of gravity, magnetic field and suction/injection are incorporated in this study. For the enhancement of thermal con-ductivity, the Buongiorno nano-liquid model is employed. The nonlinear PDEs are transformed into ODEs by utilizing the non-similar variables. In order to analyze the impact of stream-wise coordinate, the influ-ence of Grashoff number is explored, while plotting the velocity, temperature and volume fraction. The velocity of this specific liquid is an increasing function of Wessenberg number, mixed convection and suction parameters, respectively. Additionally, Nt (Thermophortic forces) and Nb (Brownian motion parameter) escalated the temperature and volume fraction of the liquid, respectively and opposite behav-ior is determined, while plotting during the liquid temperature as well as liquid volume fraction.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Ain Shams Uni-versity. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/ by-nc-nd/4.0/).