Volume 18, Issue 2 (4-2018)                   Modares Mechanical Engineering 2018, 18(2): 170-178 | Back to browse issues page

‎ 20.1001.1.10275940.1397.18.2.52.1

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Ghorbani R, Hosseinalipoor S M. Analytical and Semi-Analytical Investigation and Solutions for non-Newtonian Micropolar Fluid Flows in Three Different Cases. Modares Mechanical Engineering 2018; 18 (2) :170-178
URL: http://mme.modares.ac.ir/article-15-11422-en.html
Analytical and Semi-Analytical Investigation and Solutions for non-Newtonian Micropolar Fluid Flows in Three Different Cases
Ramin Ghorbani1 , Seyed Mostafa Hosseinalipoor * 2
1- Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran
2- School of Mechanical Engineering, Iran University of Science & Technology
Abstract:   (4593 Views)
In this paper, the goal is to provide analytical solutions for the thin film flow of a non-Newtonian fluid in different geometries and boundary conditions. An analytical solution for the non-Newtonian fluids is one of the most important and challenging issues that helps in understanding the physics of these fluids. For this purpose, the theory of micropolar fluids has been used. Thin film in three specific geometries, including flow downward on an inclined surface, flow on a moving ribbon, and flow downward on a vertical cylinder is considered. In order to solve the governing equations and obtaining the velocity and rotational fields, in the first two geometries, an analytical methods and in the third geometry a combined analytic and numerical methods are used with respect to the complexity of the equations. The rotational and velocity fields are plotted for all three cases and the results are discussed for different values of the parameters of a micropolar fluid. Also, the effect of the concentration of microelements in the fluid has been studied. It was observed that with the increase of the micropolar fluid parameter, the magnitude of velocity and rotation decreases.
Keywords: Non-Newtonian Fluid, Thin Film, Analytical Solution
Full-Text [PDF 1148 kb]   (5866 Downloads)    
Article Type: Research Article | Subject: Non-Newtonian Fluid Mechanics
Received: 2017/11/29 | Accepted: 2018/01/8 | Published: 2018/01/25
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