**Vakkar Ali 1, Taza Gul 2, Shakeela Afridi 2, Farhad Ali 2, Sayer Obaid Alharbi <sup>3</sup> and Ilyas Khan 4,\***


Received: 9 November 2018; Accepted: 14 January 2019; Published: 6 February 2019

**Abstract:** The thin film flow of micropolar fluid in a porous medium under the influence of thermophoresis with the heat effect past a stretching plate is analyzed. Micropolar fluid is assumed as a base fluid and the plate is considered to move with a linear velocity and subject to the variation of the reference temperature and concentration. The latitude of flow is limited to being two-dimensional and is steadily affected by sensitive fluid film size with the effect of thermal radiation. The basic equations of fluid flow are changed through the similarity variables into a set of nonlinear coupled differential equations with physical conditions. The suitable transformations for the energy equation is used and the non-dimensional form of the temperature field are different from the published work. The problem is solved by using Homotopy Analysis Method (HAM). The effects of radiation parameter *R*, vortex-viscosity parameter Δ, permeability parameter *Mr*, microrotation parameter *Gr*, Soret number *Sr*, thermophoretic parameter τ, inertia parameter *Nr*, Schmidt number *Sc*, and Prandtl number *Pr* are shown graphically and discussed.

**Keywords:** thin film of micropolar fluid; porous medium; thermophoresis; thermal radiation; skin friction; Nusselt number and Sherwood number; variable thickness of the liquid film; HAM
