Darcy-forchheimer flow of mhd nanofluid thin film flow with joule dissipation and navier�s partial slip

Abstract

In this paper investigation is carried out on two dimensional liquid film with heat generation/ absorption and variable heat transmission of nanofluid MHD flow on an unsteady stretching sheet. Flow of nanofluid phenomenon is model from the basic governing time-dependent equations. By the use of suitable similarity transformation, these basic equations are transformed to differential equations system. The nanofluid is supposed to slip along the boundary of the sheet. To find the solution of the transformed modeled equations Homotopy Analysis technique is used. A numerical survey is presented for the convergence of the implemented technique. Effects of variations of different influential parameters like Nu number and Cfx for fluid flow of liquid film with mass and heat transfer is observed. The effect of unsteadiness parameter S over thin film is explored analytically for different values. It is investigated that for large values of M that the nanofluid films velocity distribution decreases,where increase in the value of K1, a reduction in the porous medium permeability. Thickness of thermal boundary layer decreases with increasing values of S, while increase of radiation parameter, the Nusselt number also increases. Furthermore, the embedded parameters used for comprehension of the physical presentation, like inertial parameter F1, magnetic parameter M, permeability parameter K1, Eckert number Ec, Prandtl number Pr, and parameters ?1, ?2 and ? has been presented by graphs and discussed in detail. � 2018 The Author(s). Published by IOP Publishing Ltd.