Thin Film Flow of Micropolar Fluid in a Permeable Medium

• Main Authors: Vakkar Ali, Taza Gul, Shakeela Afridi, Farhad Ali, Sayer Obaid Alharbi, Ilyas Khan
• Format: Article
• Language: English
• Published: MDPI AG 2019-02-01
• Series: Coatings
• Subjects: thin film of micropolar fluid; porous medium; thermophoresis; thermal radiation; skin friction; Nusselt number and Sherwood number; variable thickness of the liquid film; HAM
• Online Access: https://www.mdpi.com/2079-6412/9/2/98

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 <i>R</i>, vortex-viscosity parameter &#916;, permeability parameter <i>Mr</i>, microrotation parameter <i>Gr</i>, Soret number <i>Sr</i>, thermophoretic parameter &#964;, inertia parameter <i>Nr</i>, Schmidt number <i>Sc</i>, and Prandtl number <i>Pr</i> are shown graphically and discussed.