The unsteady boundary layer flow past a circular cylinder in micropolar fluids

Purpose – The purpose of this paper is to study the unsteady boundary layer flow of a micropolar fluid past a circular cylinder which is started impulsively from rest. Design/methodology/approach – The nonlinear partial differential equations consisting of three independent variables are sol...

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Main Authors: Ali, Anati, Amin, Norsarahaida, Pop, Ioan
Format: Article
Published: Emerald Group Publishing 2007
Subjects:
Online Access:http://eprints.utm.my/8816/
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author Ali, Anati
Amin, Norsarahaida
Pop, Ioan
author_facet Ali, Anati
Amin, Norsarahaida
Pop, Ioan
author_sort Ali, Anati
building UTeM Institutional Repository
collection Online Access
description Purpose – The purpose of this paper is to study the unsteady boundary layer flow of a micropolar fluid past a circular cylinder which is started impulsively from rest. Design/methodology/approach – The nonlinear partial differential equations consisting of three independent variables are solved numerically using the 3D Keller-box method. Findings – Numerical solutions for the velocity profiles, wall skin friction and microrotation profiles are obtained and presented for various values of time t and material parameter K with the boundary condition for microrotation n=0 (strong concentration of microelements) and n=1/2 (weak concentration of microelements). The results are presented along the points on the cylinder surface, starting from the forward to the rear stagnation point, for small time up to the time when the boundary layer flow separates from the cylinder. Originality/value – It is believed that this is the first paper that uses the 3D Keller-box method to study the unsteady boundary layer flow of micropolar fluids. In the last four decades, there has been overhelming interest shown by researchers in micropolar fluids and still many problems are unsolved. The paper shows not only the fundamental importance of this problem, but also the implications for situations of practical interest.
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spelling utm-88162009-05-13T04:31:33Z http://eprints.utm.my/8816/ The unsteady boundary layer flow past a circular cylinder in micropolar fluids Ali, Anati Amin, Norsarahaida Pop, Ioan QA Mathematics Purpose – The purpose of this paper is to study the unsteady boundary layer flow of a micropolar fluid past a circular cylinder which is started impulsively from rest. Design/methodology/approach – The nonlinear partial differential equations consisting of three independent variables are solved numerically using the 3D Keller-box method. Findings – Numerical solutions for the velocity profiles, wall skin friction and microrotation profiles are obtained and presented for various values of time t and material parameter K with the boundary condition for microrotation n=0 (strong concentration of microelements) and n=1/2 (weak concentration of microelements). The results are presented along the points on the cylinder surface, starting from the forward to the rear stagnation point, for small time up to the time when the boundary layer flow separates from the cylinder. Originality/value – It is believed that this is the first paper that uses the 3D Keller-box method to study the unsteady boundary layer flow of micropolar fluids. In the last four decades, there has been overhelming interest shown by researchers in micropolar fluids and still many problems are unsolved. The paper shows not only the fundamental importance of this problem, but also the implications for situations of practical interest. Emerald Group Publishing 2007 Article PeerReviewed Ali, Anati and Amin, Norsarahaida and Pop, Ioan (2007) The unsteady boundary layer flow past a circular cylinder in micropolar fluids. International Journal of Numerical Methods for Heat & Fluid Flow, 17 (7). pp. 692-714. ISSN 0961-5539 http://dx.doi.org/10.1108/09615530710777967 10.1108/09615530710777967
spellingShingle QA Mathematics
Ali, Anati
Amin, Norsarahaida
Pop, Ioan
The unsteady boundary layer flow past a circular cylinder in micropolar fluids
title The unsteady boundary layer flow past a circular cylinder in micropolar fluids
title_full The unsteady boundary layer flow past a circular cylinder in micropolar fluids
title_fullStr The unsteady boundary layer flow past a circular cylinder in micropolar fluids
title_full_unstemmed The unsteady boundary layer flow past a circular cylinder in micropolar fluids
title_short The unsteady boundary layer flow past a circular cylinder in micropolar fluids
title_sort unsteady boundary layer flow past a circular cylinder in micropolar fluids
topic QA Mathematics
url http://eprints.utm.my/8816/
http://eprints.utm.my/8816/
http://eprints.utm.my/8816/