Three-dimensional flow of nanofluid over a non-linearly Permeable shrinking sheet

The nanofluid flow past a permeable non-linear shrinked surface for three-dimensional case is considered in this paper. The governing equations are first modelled, and the similarity transformation technique is conducted with the aim to obtain a set of nonlinear ordinary differential equations syste...

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Main Authors: Muhad Saleh, Siti Hidayah, Md Arifin, Norihan, Nazar, Roslinda, Pop, Ioan, Abd Hamid, Nor Zila
Format: Article
Published: Review of International Geographical Education Online (R I G E O) 2021
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author Muhad Saleh, Siti Hidayah
Md Arifin, Norihan
Nazar, Roslinda
Pop, Ioan
Abd Hamid, Nor Zila
author_facet Muhad Saleh, Siti Hidayah
Md Arifin, Norihan
Nazar, Roslinda
Pop, Ioan
Abd Hamid, Nor Zila
author_sort Muhad Saleh, Siti Hidayah
collection UPM
description The nanofluid flow past a permeable non-linear shrinked surface for three-dimensional case is considered in this paper. The governing equations are first modelled, and the similarity transformation technique is conducted with the aim to obtain a set of nonlinear ordinary differential equations systems from the nonlinear partial differential equations form. The solutions are attained numerically by solving the obtained similarity equations and then solved by the shooting approach. The physical explanation on the impact of the governing parameters is presented through tables and graphs. The influences of the governing parameters on the local Reynolds number in x and y direction, local Nusselt number along with the velocity profiles have been discussed. Additionally, this present problem also discovered the existence of dual solutions. The obtained result has been compared with previous open literature results and it is revealed to be in good agreement.
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institution Universiti Putra Malaysia
last_indexed 2024-03-06T10:58:12Z
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spelling upm.eprints-933682023-10-17T06:43:23Z http://psasir.upm.edu.my/id/eprint/93368/ Three-dimensional flow of nanofluid over a non-linearly Permeable shrinking sheet Muhad Saleh, Siti Hidayah Md Arifin, Norihan Nazar, Roslinda Pop, Ioan Abd Hamid, Nor Zila The nanofluid flow past a permeable non-linear shrinked surface for three-dimensional case is considered in this paper. The governing equations are first modelled, and the similarity transformation technique is conducted with the aim to obtain a set of nonlinear ordinary differential equations systems from the nonlinear partial differential equations form. The solutions are attained numerically by solving the obtained similarity equations and then solved by the shooting approach. The physical explanation on the impact of the governing parameters is presented through tables and graphs. The influences of the governing parameters on the local Reynolds number in x and y direction, local Nusselt number along with the velocity profiles have been discussed. Additionally, this present problem also discovered the existence of dual solutions. The obtained result has been compared with previous open literature results and it is revealed to be in good agreement. Review of International Geographical Education Online (R I G E O) 2021-09 Article PeerReviewed Muhad Saleh, Siti Hidayah and Md Arifin, Norihan and Nazar, Roslinda and Pop, Ioan and Abd Hamid, Nor Zila (2021) Three-dimensional flow of nanofluid over a non-linearly Permeable shrinking sheet. Review of International Geographical Education Online, 11 (5). 3438 - 3447. ISSN 2146-0353 https://rigeo.org/menu-script/index.php/rigeo/article/view/1207
spellingShingle Muhad Saleh, Siti Hidayah
Md Arifin, Norihan
Nazar, Roslinda
Pop, Ioan
Abd Hamid, Nor Zila
Three-dimensional flow of nanofluid over a non-linearly Permeable shrinking sheet
title Three-dimensional flow of nanofluid over a non-linearly Permeable shrinking sheet
title_full Three-dimensional flow of nanofluid over a non-linearly Permeable shrinking sheet
title_fullStr Three-dimensional flow of nanofluid over a non-linearly Permeable shrinking sheet
title_full_unstemmed Three-dimensional flow of nanofluid over a non-linearly Permeable shrinking sheet
title_short Three-dimensional flow of nanofluid over a non-linearly Permeable shrinking sheet
title_sort three dimensional flow of nanofluid over a non linearly permeable shrinking sheet
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