Unsteady stagnation point flow of Oldroyd-B nanofluid with heat generation/absorption and nonlinear thermal radiation

Abstract

This article addresses unsteady stagnation point flow of Oldroyd-B nanofluid past an impermeable stretching sheet. Characteristics of heat transfer are described within the frame of heat generation/absorption and nonlinear radiative process. Intention in present analysis is to develop a model for nanomaterial containing Brownian motion and thermophoresis phenomena. The resulting nonlinear differential systems have been solved for the convergent homotopic solutions. Behavior of sundry variable for the velocity, temperature and concentration are addressed. Numerical values examined the local Nusselt number. It is revealed that velocity field enhances for dimensionless retardation time while reverse situation is observed regarding dimensionless relaxation time. Temperature and heat transfer rate are enhanced via larger nonlinear thermal radiation and temperature parameters. Moreover, behavior of Brownian motion and thermophoresis on the concentration field is quite reverse.