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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.

Mohammad Ishaq, Gohar Ali, Syed Inayat Ali Shah, Zahir Shah, Sher Muhammad, Syed Asif Hussain. (2019) Nanofluid Film Flow of Eyring Powell Fluid with Magneto Hydrodynamic Effect on Unsteady Porous Stretching Sheet, Punjab University Journal of Mathematics, Volume 51, Issue 3.
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