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Exact solutions for unsteady unidirectional flows of second grade fluid

Second grade fluid or second grade fluid is one of the most popular used model to describe non-Newtonian fluids. In study, the problems involving unsteady unidirectional flows of second grade fluid, flows of second grade fluid through a porous medium and flows of heated second grade fluid are discus...

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Main Author: Jamrus, Farah Nadzirah
Format: Thesis
Language:English
Published: 2010
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/11296/1/FarahNadzirahJamrusMFS2010.pdf
http://eprints.utm.my/id/eprint/11296/
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spelling my.utm.112962018-05-30T04:26:04Z http://eprints.utm.my/id/eprint/11296/ Exact solutions for unsteady unidirectional flows of second grade fluid Jamrus, Farah Nadzirah QA Mathematics Second grade fluid or second grade fluid is one of the most popular used model to describe non-Newtonian fluids. In study, the problems involving unsteady unidirectional flows of second grade fluid, flows of second grade fluid through a porous medium and flows of heated second grade fluid are discussed. The unidirectional flows of second grade fluid considered in this study are Couette flow, Stokes’ first flow problem and plane Poiseuille flow. The exact solutions for Couette flow and Poiseuille flow are obtained using the Laplace transform while the Fourier transform method is used to obtain the exact solution of the Stokes’ first flow problem. The momentum equation for the flows of second grade fluid through a porous medium is derived based on the modified Darcy’s law. The momentum equation for flows of second grade fluid through a porous medium has an extra term, which is the viscous damping force caused by the micro-pore structures of the porous medium. It is found that the velocity of the flows decrease when the porosity, j and permeability, K parameter are increased. For flows of heated second grade fluids, the velocity and temperature distribution are determined using the simple and double Fourier sine transforms. 2010-04 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/11296/1/FarahNadzirahJamrusMFS2010.pdf Jamrus, Farah Nadzirah (2010) Exact solutions for unsteady unidirectional flows of second grade fluid. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science.
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Jamrus, Farah Nadzirah
Exact solutions for unsteady unidirectional flows of second grade fluid
description Second grade fluid or second grade fluid is one of the most popular used model to describe non-Newtonian fluids. In study, the problems involving unsteady unidirectional flows of second grade fluid, flows of second grade fluid through a porous medium and flows of heated second grade fluid are discussed. The unidirectional flows of second grade fluid considered in this study are Couette flow, Stokes’ first flow problem and plane Poiseuille flow. The exact solutions for Couette flow and Poiseuille flow are obtained using the Laplace transform while the Fourier transform method is used to obtain the exact solution of the Stokes’ first flow problem. The momentum equation for the flows of second grade fluid through a porous medium is derived based on the modified Darcy’s law. The momentum equation for flows of second grade fluid through a porous medium has an extra term, which is the viscous damping force caused by the micro-pore structures of the porous medium. It is found that the velocity of the flows decrease when the porosity, j and permeability, K parameter are increased. For flows of heated second grade fluids, the velocity and temperature distribution are determined using the simple and double Fourier sine transforms.
format Thesis
author Jamrus, Farah Nadzirah
author_facet Jamrus, Farah Nadzirah
author_sort Jamrus, Farah Nadzirah
title Exact solutions for unsteady unidirectional flows of second grade fluid
title_short Exact solutions for unsteady unidirectional flows of second grade fluid
title_full Exact solutions for unsteady unidirectional flows of second grade fluid
title_fullStr Exact solutions for unsteady unidirectional flows of second grade fluid
title_full_unstemmed Exact solutions for unsteady unidirectional flows of second grade fluid
title_sort exact solutions for unsteady unidirectional flows of second grade fluid
publishDate 2010
url http://eprints.utm.my/id/eprint/11296/1/FarahNadzirahJamrusMFS2010.pdf
http://eprints.utm.my/id/eprint/11296/
_version_ 1643645641970155520
score 13.211869

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