Brownian Motion and Thermophoresis Effects on Boundary Layer Nanofluid Flow over an Inclined Porous Surface with Mass Flux Condition

The current study intends to investigate thermophoresis and Brownian motion effects on boundary layer (BL) flow of nanofluid over an inclined porous stretched surface with a mass flux condition. The governing partial differential equations (PDEs) are converted into non-dimensional ordinary differential equations (ODEs) through an appropriate similarity transformation. The resulting equations are then solved using the Spectral Quasi-linearization method. Graphical representations illustrating the consequence of Brownian motion, Grashof number, thermophoresis, mass Grashof number, and suction/injection on velocity, temperature, and nanoparticle concentration are examined and discussed. The results indicated that an increase in Grashof number, mass Grashof number and thermophoresis parameter leads to the increase in the rate of fluid flow while it decreases when suction factor is increased within the boundary layer region. The influence of Brownian motion and thermophoresis parameter on nanoparticles improved the temperature profile but mass Grashof number and Grashof number decrease the temperature profile within the boundary layer region. However, the concentration profiles decrease up to certain values of eta, then increase for the thermophoresis parameter. In contrast, the Brownian motion parameter exhibits reverse trends. The present work has significant implications for various engineering applications, particularly in cooling systems and material processing. Understanding these effects can lead to enhanced performance in heat transfer mechanisms and improved efficiency in fluid dynamics.