Brownian motion and thermophoretic diffusion influence on thermophysical aspects of electrically conducting viscoinelastic nanofluid flow over a stretched surface

Abstract

Current investigation elaborates the impacts of Brownian motion and thermophoretic force on electrically conducting Prandtl-Eyring nanofluid flow yielded by stretched surface. Buongiorno nano-model is used to trace the heat and mass transfer characteristics in the flow regime. The mathematical formulation concerning to the adopted physical parameters is modeled in the form of complex partial differential structure. Boundary layer theory is obliged to reduce non-linearity of subsequent equations by truncating higher order terms. To facilitate the computation process, the governing problem in partial differential form is converted into dimensionless ordinary differential expressions. Numerical solution for attained boundary value problem is procured by R-K-Fehlberg methodology. The consequences of flow governing parameters on interested physical quantities (momentum, heat, concentration) are depicted in graphical manner while tabular representation is used to demonstrate the variations in wall drag coefficient, wall thermal flux and particles concentration flux. The computed results show that the presence of magnetic field is not favorable for fluid momentum, albeit, both Brownian motion and thermophoresis phenomenon surges the thermal energy of fluid. Besides these, concentration profile increases versus Brownian motion while thermophoresis phenomenon has reverse impacts on it. Surface drag force enriched by magnifying the magnetic field intensity, furthermore, the surface heat flux shows reduction versus Brownian motion and thermophoresis parameters. In addition, the surface mass flux shows increasing trend versus all governing parameters.