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Exact and numerical solutions of a micropolar fluid in a vertical annulus
Author(s) -
Nadeem S.,
Akbar Noreen Sher,
Malik M.Y.
Publication year - 2010
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20517
Subject(s) - annulus (botany) , mathematics , partial differential equation , exact solutions in general relativity , flow (mathematics) , mechanics , mathematical analysis , fluid dynamics , physics , geometry , materials science , composite material
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 υ x and microrotation component υ θ . Further, the numerical solutions of the simplified equation of υ θ 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