Non-similar Cross fluid flow with modified Darcy's law

This research investigates rheological material flow by Riga plate. Non-Newtonian material through Cross model is considered. Unlike traditional concept, a revised version of Darcy's law is employed to predict the fluid flow filling porous space. Flow is induced by the linear stretching velocit...

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Main Authors: Aqsa Bashir, Sohail A. Khan, Sajjad Shaukat Jamal
Format: Article
Language:English
Published: Elsevier 2025-03-01
Series:Results in Engineering
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Online Access:http://www.sciencedirect.com/science/article/pii/S2590123025001811
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author Aqsa Bashir
Sohail A. Khan
Sajjad Shaukat Jamal
author_facet Aqsa Bashir
Sohail A. Khan
Sajjad Shaukat Jamal
author_sort Aqsa Bashir
collection DOAJ
description This research investigates rheological material flow by Riga plate. Non-Newtonian material through Cross model is considered. Unlike traditional concept, a revised version of Darcy's law is employed to predict the fluid flow filling porous space. Flow is induced by the linear stretching velocity. Heat transfer by dissipation is accounted. Appropriate transformations yield the governing problems for computations. Series solutions are computed by Optimal homotopy analysis method (OHAM). Convergence of solutions is analyzed. Velocity, temperature and entropy rate are analyzed. Major findings are included in final remarks.
format Article
id doaj-art-a936ca77c367442da4ceeedb0e6723e0
institution Kabale University
issn 2590-1230
language English
publishDate 2025-03-01
publisher Elsevier
record_format Article
series Results in Engineering
spelling doaj-art-a936ca77c367442da4ceeedb0e6723e02025-02-02T05:29:13ZengElsevierResults in Engineering2590-12302025-03-0125104093Non-similar Cross fluid flow with modified Darcy's lawAqsa Bashir0Sohail A. Khan1Sajjad Shaukat Jamal2Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, PakistanDepartment of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan; Corresponding author.Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi ArabiaThis research investigates rheological material flow by Riga plate. Non-Newtonian material through Cross model is considered. Unlike traditional concept, a revised version of Darcy's law is employed to predict the fluid flow filling porous space. Flow is induced by the linear stretching velocity. Heat transfer by dissipation is accounted. Appropriate transformations yield the governing problems for computations. Series solutions are computed by Optimal homotopy analysis method (OHAM). Convergence of solutions is analyzed. Velocity, temperature and entropy rate are analyzed. Major findings are included in final remarks.http://www.sciencedirect.com/science/article/pii/S2590123025001811Modified Darcy's lawNon-similar solutionCross fluidViscous dissipationEntropy generation
spellingShingle Aqsa Bashir
Sohail A. Khan
Sajjad Shaukat Jamal
Non-similar Cross fluid flow with modified Darcy's law
Results in Engineering
Modified Darcy's law
Non-similar solution
Cross fluid
Viscous dissipation
Entropy generation
title Non-similar Cross fluid flow with modified Darcy's law
title_full Non-similar Cross fluid flow with modified Darcy's law
title_fullStr Non-similar Cross fluid flow with modified Darcy's law
title_full_unstemmed Non-similar Cross fluid flow with modified Darcy's law
title_short Non-similar Cross fluid flow with modified Darcy's law
title_sort non similar cross fluid flow with modified darcy s law
topic Modified Darcy's law
Non-similar solution
Cross fluid
Viscous dissipation
Entropy generation
url http://www.sciencedirect.com/science/article/pii/S2590123025001811
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AT sohailakhan nonsimilarcrossfluidflowwithmodifieddarcyslaw
AT sajjadshaukatjamal nonsimilarcrossfluidflowwithmodifieddarcyslaw