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Oblique stagnation slip flow of a micropolar fluid towards a stretching/shrinking surface: A stability analysis
Authors:Yian Yian Lok  Anuar Ishak  Ioan Pop
Institution:1. Mathematics Section, School of Distance Education, Universiti Sains Malaysia, 11800 USM Pulau Pinang, Malaysia;2. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia;3. Department of Mathematics, Babe?-Bolyai University, Cluj-Napoca 400084, Romania
Abstract:A numerical solution is obtained for the steady oblique stagnation-point flow of a micropolar fluid over a stretching or shrinking surface with velocity slip condition. Results are obtained for representative values of slip parameter, micropolar parameter and stretching/shrinking parameter for strong particle interaction micropolar fluid. Dual solutions are found for the case of shrinking surface. An analysis of stability of these dual solutions shows that the solution branch that proceeds to large stretching case is stable. The streamlines are not symmetric for the oblique stagnation-point flow and reversed flow are observed near to the shrinking surface. The streamlines plots show that increase of slip parameter will reduce/eliminate the existing of rotating flow near the surface that caused by the shrinking effect.
Keywords:Oblique stagnation-point flow  Stretching/shrinking sheet  Micropolar fluid  Slip flow  Stability analysis
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