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Coatings 2019, 9(2), 98; https://doi.org/10.3390/coatings9020098

Thin Film Flow of Micropolar Fluid in a Permeable Medium

1
Department of Mechanical and Industrial Engineering, Majmaah University, Al Majmaah 11952, Saudi Arabia
2
Department of mathematics, City University of Science and Information Technology (CUSIT), Peshawar 25000, Pakistan
3
Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia
4
Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
*
Author to whom correspondence should be addressed.
Received: 9 November 2018 / Revised: 24 December 2018 / Accepted: 14 January 2019 / Published: 6 February 2019
(This article belongs to the Special Issue Recent Trends in Coatings and Thin Film–Modeling and Application)
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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. View Full-Text
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 thin film of micropolar fluid; porous medium; thermophoresis; thermal radiation; skin friction; Nusselt number and Sherwood number; variable thickness of the liquid film; HAM
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Ali, V.; Gul, T.; Afridi, S.; Ali, F.; Alharbi, S.O.; Khan, I. Thin Film Flow of Micropolar Fluid in a Permeable Medium. Coatings 2019, 9, 98.

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