Time-dependent 3D flow of viscoelastic nanofluid over an unsteady stretching surface.

This article addresses the unsteady three-dimensional flow of second grade nanofluid due to thermophoresis and Brownian motion effects. The flow is generated due to unsteady stretching in two lateral directions. The zero nanoparticles mass flux boundary conditions are imposed to find the desired solutions. By introducing the dimensionless variables the governing system of partial differential equations are transformed into the system of ordinary differential equations. Series solutions of the transformed ordinary differential equations are computed. Solutions are carried out for dimensionless temperature and nanoparticles concentration. The behavior of physical parameters on the temperature and nanoparticles concentrations is examined through graphs and tabular data. The temperature and concentration distribution at the surface are also computed and analyzed. It can be noted that both the temperature and nanomaterial are reduced for higher values of unsteadiness parameter. It is also observed that the friction factor of second grade fluid parameter is less compared with viscous nanofluid. • Time-dependent 3D flow of viscoelastic nanofluid is examined. • Brownian motion and thermophoresis effects are considered. • The condition requiring zero nanoparticles mass flux is implemented. • Series solutions are obtained through homotopy analysis method (HAM). [ABSTRACT FROM AUTHOR]