Abstract
This article investigates two dimensional nanofluid film flow
of Eyring Powell Fluid with variable heat transmission in the existence of
uniform magnetic field (MHD) on an unsteady porous stretching sheet.The
basic governing time dependent equations of momentum, heat transfer and
mass transfer are modeled and reduced to a system of differential equations by employing appropriate similarity transformation with unsteady
dimensionless parameters.The important influence of thermophoresis and
Brownian motion have been taken in the nanofluids model.An optimal approach has been applied to get appropriate results from the modeled problem.The convergence of HAM (Homotopy Analysis Method) has been
identified numerically.The discrepancy of the Nusslet number, skin friction, Sherwood number and their influence on the velocity, temperature
and concentration profiles has been scrutinized.The influence of the unsteady parameter (A) over thin film is explored analytically for different
values.Moreover, for comprehension the physical presentation of the embedded parameters like Film Thickness parameter (β), Magnetic parameter (M), Stretching parameter (γ), and Eyring Powell fluid parameters (k)
have been plotted graphically and discussed.Prandtl number (P r), Brownian motion parameter (N b), Thermophoretic parameter (N t), Schmidth
number (Sc) have been represented by graph and discussed.