Exact and numerical solutions of a micropolar fluid in a vertical annulus |
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Authors: | S Nadeem Noreen Sher Akbar MY Malik |
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Institution: | Department of Mathematics, Quaid‐i‐Azam University 45320, Islamabad 44000, Pakistan |
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Abstract: | In this article, we have analyzed the effects of heat transfer on a peristaltic flow of a micropolar fluid in a vertical annulus. The governing equations of two‐dimensional micropolar fluid are simplified by using the assumptions of long wavelength and neglecting the wave number. A close form solutions are obtained for velocity field υx and microrotation component υθ. Further, the numerical solutions of the simplified equation of υθ are computed and the results are compared with the exact solution. The influence of pertinent parameters are analyzed through graphs. Trapping phenomena is also discussed for different parameters. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010 |
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Keywords: | exact solution heat transfer micropolar fluid numerical solution peristalsis vertical annulus |
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