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

Abstract

This research work is associated to the exploration of the significant phenomenon namely, three equations 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 conductivity, 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 influence 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 behavior is determined, while plotting during the liquid temperature as well as liquid volume fraction.

Keywords

• Non-linear materials
• Gravitational force
• Nano-fluid
• Non-similar method
• Numerical solutions
• Zero mass flux