Fundamental solutions for micropolar fluids

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, t...

Full description

Saved in:
Bibliographic Details
Main Authors: Shu, Jian Jun, Lee, Jenn Shiun
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2011
Subjects:
Online Access:https://hdl.handle.net/10356/94031
http://hdl.handle.net/10220/7061
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Nanyang Technological University
Language: English
id sg-ntu-dr.10356-94031
record_format dspace
spelling sg-ntu-dr.10356-940312023-03-04T17:17:57Z Fundamental solutions for micropolar fluids Shu, Jian Jun Lee, Jenn Shiun School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mechanical engineering::Fluid mechanics 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. Accepted version 2011-09-15T02:52:14Z 2019-12-06T18:49:33Z 2011-09-15T02:52:14Z 2019-12-06T18:49:33Z 2007 2007 Journal Article Shu, J. J., & Lee, J. S. (2008). Fundamental solutions for micropolar fluids. Journal of Engineering Mathematics, 61(1), 69-79. 0022-0833 https://hdl.handle.net/10356/94031 http://hdl.handle.net/10220/7061 10.1007/s10665-007-9160-8 89709 en Journal of engineering mathematics © 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]. 11 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Engineering::Mechanical engineering::Fluid mechanics
spellingShingle DRNTU::Engineering::Mechanical engineering::Fluid mechanics
Shu, Jian Jun
Lee, Jenn Shiun
Fundamental solutions for micropolar fluids
description 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.
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Shu, Jian Jun
Lee, Jenn Shiun
format Article
author Shu, Jian Jun
Lee, Jenn Shiun
author_sort Shu, Jian Jun
title Fundamental solutions for micropolar fluids
title_short Fundamental solutions for micropolar fluids
title_full Fundamental solutions for micropolar fluids
title_fullStr Fundamental solutions for micropolar fluids
title_full_unstemmed Fundamental solutions for micropolar fluids
title_sort fundamental solutions for micropolar fluids
publishDate 2011
url https://hdl.handle.net/10356/94031
http://hdl.handle.net/10220/7061
_version_ 1759855194211876864