Laminar flow in a uniformly porous pipe

This study focused on fully laminar flow of an incompressible viscous fluid in a uniformly porous pipe with suction and injection. An exact solution of the Navier-Stokes equations is given. The velocity field can be expressed in a series form in terms of modified Bessel function of the first kind of...

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Main Author:	Arifin, Nur Syamilah
Format:	Thesis
Language:	English
Published:	2014
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/78330/1/NurSyamilahArifinMFS20141.pdf
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id	my-utm-ep.78330
record_format	uketd_dc
spelling	my-utm-ep.783302018-08-26T11:51:52Z Laminar flow in a uniformly porous pipe 2014-01 Arifin, Nur Syamilah QA Mathematics This study focused on fully laminar flow of an incompressible viscous fluid in a uniformly porous pipe with suction and injection. An exact solution of the Navier-Stokes equations is given. The velocity field can be expressed in a series form in terms of modified Bessel function of the first kind of order n. The volume flux across a plane normal to the flow, the vorticity and the stress on the boundary are presented. The flow properties depend on the Reynolds number, U a / ,where U is the suction velocity, a is the radius of the pipe and  is the kinematic viscosity. It is found that for large values of the cross-Reynolds number, the flow near the region of the suction shows a boundary layer character. In this region the velocity and vorticity vary sharply. Outside the boundary layer, the velocity and the vorticity do not show an appreciable change. 2014-01 Thesis http://eprints.utm.my/id/eprint/78330/ http://eprints.utm.my/id/eprint/78330/1/NurSyamilahArifinMFS20141.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:79348 masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Arifin, Nur Syamilah Laminar flow in a uniformly porous pipe
description	This study focused on fully laminar flow of an incompressible viscous fluid in a uniformly porous pipe with suction and injection. An exact solution of the Navier-Stokes equations is given. The velocity field can be expressed in a series form in terms of modified Bessel function of the first kind of order n. The volume flux across a plane normal to the flow, the vorticity and the stress on the boundary are presented. The flow properties depend on the Reynolds number, U a / ,where U is the suction velocity, a is the radius of the pipe and  is the kinematic viscosity. It is found that for large values of the cross-Reynolds number, the flow near the region of the suction shows a boundary layer character. In this region the velocity and vorticity vary sharply. Outside the boundary layer, the velocity and the vorticity do not show an appreciable change.
format	Thesis
qualification_level	Master's degree
author	Arifin, Nur Syamilah
author_facet	Arifin, Nur Syamilah
author_sort	Arifin, Nur Syamilah
title	Laminar flow in a uniformly porous pipe
title_short	Laminar flow in a uniformly porous pipe
title_full	Laminar flow in a uniformly porous pipe
title_fullStr	Laminar flow in a uniformly porous pipe
title_full_unstemmed	Laminar flow in a uniformly porous pipe
title_sort	laminar flow in a uniformly porous pipe
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2014
url	http://eprints.utm.my/id/eprint/78330/1/NurSyamilahArifinMFS20141.pdf
_version_	1747817962897670144

Laminar flow in a uniformly porous pipe

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