Fundamental solutions for micropolar fluids

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Fundamental solutions for micropolar fluids

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dc.contributor.author Shu, Jian Jun
dc.contributor.author Lee, Jenn Shiun
dc.date.accessioned 2011-09-15T02:52:14Z
dc.date.available 2011-09-15T02:52:14Z
dc.date.copyright 2007
dc.date.issued 2011-09-15
dc.identifier.citation Shu, J. J., & Lee, J. S. (2008). Fundamental solutions for micropolar fluids. Journal of Engineering Mathematics, 61(1), 69-79.
dc.identifier.issn 0022-0833
dc.identifier.uri http://hdl.handle.net/10220/7061
dc.description.abstract New fundamental solutions for micropolar fluids are derived in explicit form for two- and three-dimensional steady unbounded Stokes and Oseen flows due to a point force and a point couple, including the two-dimensional micropolar Stokeslet, the two- and three-dimensional micropolar Stokes couplet, the three-dimensional micropolar Oseenlet, and the three-dimensional micropolar Oseen couplet. These fundamental solutions do not exist in Newtonian flow due to the absence of microrotation velocity field. The flow due to these singularities is useful for understanding and studying microscale flows. As an application, the drag coefficients for a solid sphere or a circular cylinder that translates in a low-Reynolds-number micropolar flow are determined and compared with those corresponding to Newtonian flow. The drag coefficients in a micropolar fluid are greater than those in a Newtonian fluid.
dc.format.extent 11 p.
dc.language.iso en
dc.relation.ispartofseries Journal of engineering mathematics
dc.rights © 2007 Springer. This is the author created version of a work that has been peer reviewed and accepted for publication by Journal of Engineering Mathematics, Springer. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [DOI: http://dx.doi.org/10.1007/s10665-007-9160-8].
dc.subject DRNTU::Engineering::Mechanical engineering::Fluid mechanics.
dc.title Fundamental solutions for micropolar fluids
dc.type Journal Article
dc.contributor.school School of Mechanical and Aerospace Engineering
dc.identifier.doi http://dx.doi.org/10.1007/s10665-007-9160-8
dc.description.version Accepted version
dc.identifier.rims 89709

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