MHD stagnation-point flow over a stretching/shrinking sheet in a micropolar fluid with a slip boundary

The problem of stagnation point flow over a stretching/shrinking sheet immersed in a micropolar fluid is analyzed numerically. The governing partial differential equations are transformed into a system of ordinary (similarity) differential equation and are then solved numerically using the boundary...

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Main Authors: Siti Khuzaimah Soid, Anuar Ishak, Pop, Ioan
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2018
Online Access:http://journalarticle.ukm.my/12673/
http://journalarticle.ukm.my/12673/1/34%20Siti%20Khuzaimah%20Soid.pdf
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author Siti Khuzaimah Soid,
Anuar Ishak,
Pop, Ioan
author_facet Siti Khuzaimah Soid,
Anuar Ishak,
Pop, Ioan
author_sort Siti Khuzaimah Soid,
building UKM Institutional Repository
collection Online Access
description The problem of stagnation point flow over a stretching/shrinking sheet immersed in a micropolar fluid is analyzed numerically. The governing partial differential equations are transformed into a system of ordinary (similarity) differential equation and are then solved numerically using the boundary value problem solver (bvp4c) in Matlab software. The effects of various parameters on the velocity and the angular velocity as well as the skin friction coefficient and the couple stress are shown in tables and graphs. The noticeable results are found that the micropolar and the slip parameters decrease the skin friction coefficient and the couple stress in the existence of magnetic field. Dual solutions appear for certain range of the shrinking strength. A stability analysis is performed to determine which one of the solutions is stable. Practical applications include polymer extrusion, where one deals with stretching of plastic sheets and in metallurgy that involves the cooling of continuous strips.
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institution Universiti Kebangasaan Malaysia
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publishDate 2018
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spelling oai:generic.eprints.org:126732019-03-17T11:50:09Z http://journalarticle.ukm.my/12673/ MHD stagnation-point flow over a stretching/shrinking sheet in a micropolar fluid with a slip boundary Siti Khuzaimah Soid, Anuar Ishak, Pop, Ioan The problem of stagnation point flow over a stretching/shrinking sheet immersed in a micropolar fluid is analyzed numerically. The governing partial differential equations are transformed into a system of ordinary (similarity) differential equation and are then solved numerically using the boundary value problem solver (bvp4c) in Matlab software. The effects of various parameters on the velocity and the angular velocity as well as the skin friction coefficient and the couple stress are shown in tables and graphs. The noticeable results are found that the micropolar and the slip parameters decrease the skin friction coefficient and the couple stress in the existence of magnetic field. Dual solutions appear for certain range of the shrinking strength. A stability analysis is performed to determine which one of the solutions is stable. Practical applications include polymer extrusion, where one deals with stretching of plastic sheets and in metallurgy that involves the cooling of continuous strips. Penerbit Universiti Kebangsaan Malaysia 2018-11 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/12673/1/34%20Siti%20Khuzaimah%20Soid.pdf Siti Khuzaimah Soid, and Anuar Ishak, and Pop, Ioan (2018) MHD stagnation-point flow over a stretching/shrinking sheet in a micropolar fluid with a slip boundary. Sains Malaysiana, 47 (11). pp. 2907-2916. ISSN 0126-6039 http://www.ukm.my/jsm/malay_journals/jilid47bil11_2018/KandunganJilid47Bil11_2018.html
spellingShingle Siti Khuzaimah Soid,
Anuar Ishak,
Pop, Ioan
MHD stagnation-point flow over a stretching/shrinking sheet in a micropolar fluid with a slip boundary
title MHD stagnation-point flow over a stretching/shrinking sheet in a micropolar fluid with a slip boundary
title_full MHD stagnation-point flow over a stretching/shrinking sheet in a micropolar fluid with a slip boundary
title_fullStr MHD stagnation-point flow over a stretching/shrinking sheet in a micropolar fluid with a slip boundary
title_full_unstemmed MHD stagnation-point flow over a stretching/shrinking sheet in a micropolar fluid with a slip boundary
title_short MHD stagnation-point flow over a stretching/shrinking sheet in a micropolar fluid with a slip boundary
title_sort mhd stagnation-point flow over a stretching/shrinking sheet in a micropolar fluid with a slip boundary
url http://journalarticle.ukm.my/12673/
http://journalarticle.ukm.my/12673/
http://journalarticle.ukm.my/12673/1/34%20Siti%20Khuzaimah%20Soid.pdf