MHD stagnation point flow over a stretching or shrinking sheet in a porous medium with velocity slip

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: Soid, Siti Khuzaimah, Ishak, Anuar, Pop, Ioan
Format: Article
Published: Penerbit Universiti Kebangsaan Malaysia 2022
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author Soid, Siti Khuzaimah
Ishak, Anuar
Pop, Ioan
author_facet Soid, Siti Khuzaimah
Ishak, Anuar
Pop, Ioan
author_sort Soid, Siti Khuzaimah
collection UPM
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 Putra Malaysia
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spelling upm.eprints-1018632023-09-21T03:59:57Z http://psasir.upm.edu.my/id/eprint/101863/ MHD stagnation point flow over a stretching or shrinking sheet in a porous medium with velocity slip Soid, Siti Khuzaimah Ishak, Anuar 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 2022 Article PeerReviewed Soid, Siti Khuzaimah and Ishak, Anuar and Pop, Ioan (2022) MHD stagnation point flow over a stretching or shrinking sheet in a porous medium with velocity slip. Sains Malaysiana, 47 (11). pp. 2907-2916. ISSN 0126-6039 https://www.ukm.my/jsm/malay_journals/jilid47bil11_2018/Jilid47Bil11_2018ms2907-2916.htm 10.17576/jsm-2018-4711-34
spellingShingle Soid, Siti Khuzaimah
Ishak, Anuar
Pop, Ioan
MHD stagnation point flow over a stretching or shrinking sheet in a porous medium with velocity slip
title MHD stagnation point flow over a stretching or shrinking sheet in a porous medium with velocity slip
title_full MHD stagnation point flow over a stretching or shrinking sheet in a porous medium with velocity slip
title_fullStr MHD stagnation point flow over a stretching or shrinking sheet in a porous medium with velocity slip
title_full_unstemmed MHD stagnation point flow over a stretching or shrinking sheet in a porous medium with velocity slip
title_short MHD stagnation point flow over a stretching or shrinking sheet in a porous medium with velocity slip
title_sort mhd stagnation point flow over a stretching or shrinking sheet in a porous medium with velocity slip
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AT ishakanuar mhdstagnationpointflowoverastretchingorshrinkingsheetinaporousmediumwithvelocityslip
AT popioan mhdstagnationpointflowoverastretchingorshrinkingsheetinaporousmediumwithvelocityslip