Stability analysis of unsteady three-dimensional viscous flow over a permeable stretching/shrinking surface

In this paper, a theoretical and numerical study on the unsteady three-dimensional boundary layer flow of a viscous fluid past a permeable stretching/shrinking sheet is considered. Similarity transformation is used to reduce the governing system of nonlinear partial differential equations into a...

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Main Authors:	Ezad Hafidz Hafidzuddin, Roslinda Nazar, Norihan Md Arifin, Pop, Ioan
Format:	Article
Language:	English
Published:	Penerbit Universiti Kebangsaan Malaysia 2015
Online Access:	http://journalarticle.ukm.my/9478/ http://journalarticle.ukm.my/9478/ http://journalarticle.ukm.my/9478/1/jqma-11-1-paper3.pdf

id	ukm-9478
recordtype	eprints
spelling	ukm-94782016-12-14T06:50:03Z http://journalarticle.ukm.my/9478/ Stability analysis of unsteady three-dimensional viscous flow over a permeable stretching/shrinking surface Ezad Hafidz Hafidzuddin, Roslinda Nazar, Norihan Md Arifin, Pop, Ioan In this paper, a theoretical and numerical study on the unsteady three-dimensional boundary layer flow of a viscous fluid past a permeable stretching/shrinking sheet is considered. Similarity transformation is used to reduce the governing system of nonlinear partial differential equations into a system of ordinary differential equations. These equations are then solved numerically by using the “bvp4c” function in MATLAB. The effects of the governing parameters, namely the unsteadiness parameter, the stretching/shrinking parameter, the suction parameter and the ratio of the surface velocity gradients on the skin friction coefficients, as well as the velocity profiles are presented and discussed. Multiple solutions are found for a certain range of the governing parameters. Stability analysis has been performed to determine which solution is stable and physically realisable. Penerbit Universiti Kebangsaan Malaysia 2015-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/9478/1/jqma-11-1-paper3.pdf Ezad Hafidz Hafidzuddin, and Roslinda Nazar, and Norihan Md Arifin, and Pop, Ioan (2015) Stability analysis of unsteady three-dimensional viscous flow over a permeable stretching/shrinking surface. Journal of Quality Measurement and Analysis, 11 (1). pp. 19-31. ISSN 1823-5670 http://www.ukm.my/jqma/jqma11_1a.html
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
description	In this paper, a theoretical and numerical study on the unsteady three-dimensional boundary layer flow of a viscous fluid past a permeable stretching/shrinking sheet is considered. Similarity transformation is used to reduce the governing system of nonlinear partial differential equations into a system of ordinary differential equations. These equations are then solved numerically by using the “bvp4c” function in MATLAB. The effects of the governing parameters, namely the unsteadiness parameter, the stretching/shrinking parameter, the suction parameter and the ratio of the surface velocity gradients on the skin friction coefficients, as well as the velocity profiles are presented and discussed. Multiple solutions are found for a certain range of the governing parameters. Stability analysis has been performed to determine which solution is stable and physically realisable.
format	Article
author	Ezad Hafidz Hafidzuddin, Roslinda Nazar, Norihan Md Arifin, Pop, Ioan
spellingShingle	Ezad Hafidz Hafidzuddin, Roslinda Nazar, Norihan Md Arifin, Pop, Ioan Stability analysis of unsteady three-dimensional viscous flow over a permeable stretching/shrinking surface
author_facet	Ezad Hafidz Hafidzuddin, Roslinda Nazar, Norihan Md Arifin, Pop, Ioan
author_sort	Ezad Hafidz Hafidzuddin,
title	Stability analysis of unsteady three-dimensional viscous flow over a permeable stretching/shrinking surface
title_short	Stability analysis of unsteady three-dimensional viscous flow over a permeable stretching/shrinking surface
title_full	Stability analysis of unsteady three-dimensional viscous flow over a permeable stretching/shrinking surface
title_fullStr	Stability analysis of unsteady three-dimensional viscous flow over a permeable stretching/shrinking surface
title_full_unstemmed	Stability analysis of unsteady three-dimensional viscous flow over a permeable stretching/shrinking surface
title_sort	stability analysis of unsteady three-dimensional viscous flow over a permeable stretching/shrinking surface
publisher	Penerbit Universiti Kebangsaan Malaysia
publishDate	2015
url	http://journalarticle.ukm.my/9478/ http://journalarticle.ukm.my/9478/ http://journalarticle.ukm.my/9478/1/jqma-11-1-paper3.pdf
first_indexed	2023-09-18T19:54:58Z
last_indexed	2023-09-18T19:54:58Z
_version_	1777406467978035200

Stability analysis of unsteady three-dimensional viscous flow over a permeable stretching/shrinking surface

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