Darcy-Forchheimer Flow of Hybrid Carbon Nanotube over a Permeable Stretching/Shrinking Curved Surface

The Darcy-Forchheimer flow of hybrid carbon nanotube over a permeable curved stretching/shrinking surface is investigated in this work. The Darcy-Forchheimer phrase is used to describe porous spaces with different porosity and permeability. The current problem is modelled using curvilinear coordinat...

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Published in:Journal of Advanced Research in Fluid Mechanics and Thermal Sciences
Main Author: Anuar N.S.; Aladdin N.A.L.; Pop I.
Format: Article
Language:English
Published: Semarak Ilmu Publishing 2025
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85217179957&doi=10.37934%2farfmts.126.2.7385&partnerID=40&md5=7b24fbdd8402894f3eb99eba59862d66
id 2-s2.0-85217179957
spelling 2-s2.0-85217179957
Anuar N.S.; Aladdin N.A.L.; Pop I.
Darcy-Forchheimer Flow of Hybrid Carbon Nanotube over a Permeable Stretching/Shrinking Curved Surface
2025
Journal of Advanced Research in Fluid Mechanics and Thermal Sciences
126
2
10.37934/arfmts.126.2.7385
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85217179957&doi=10.37934%2farfmts.126.2.7385&partnerID=40&md5=7b24fbdd8402894f3eb99eba59862d66
The Darcy-Forchheimer flow of hybrid carbon nanotube over a permeable curved stretching/shrinking surface is investigated in this work. The Darcy-Forchheimer phrase is used to describe porous spaces with different porosity and permeability. The current problem is modelled using curvilinear coordinates due to the curved form of the geometry. A similarity transformation will be applied to the partial differential equations (PDEs) of the fluid flow to convert them to ordinary differential equations (ODEs). The numerical solutions of the equations of continuity, momentum, and energy are obtained using the bvp4c solver in MATLAB. To examine the impact of various physical parameters, including nanoparticle volume fraction, suction, inertia coefficient, and porosity, on temperature and velocity profiles, as well as the local Nusselt number and skin friction, a comprehensive graphical analysis is conducted. By carefully modifying these parameters and scrutinizing their effects on the flow and heat transfer properties, a dual solution was observed on the graphs. The results suggest that increasing the single-wall carbon nanotube (SWCNT) nanoparticle and inertia coefficient parameters narrow the range of solutions. When the SWCNT of a shrinking curved sheet is raised, the skin friction increases. Meanwhile, the inertia coefficient showed the opposite pattern. The increased SWCNT and inertia coefficient parameters decrease the local Nusselt number. Moreover, the findings are compared and rigorously confirmed with previous reported findings in the literature. © 2025, Semarak Ilmu Publishing. All rights reserved.
Semarak Ilmu Publishing
22897879
English
Article

author Anuar N.S.; Aladdin N.A.L.; Pop I.
spellingShingle Anuar N.S.; Aladdin N.A.L.; Pop I.
Darcy-Forchheimer Flow of Hybrid Carbon Nanotube over a Permeable Stretching/Shrinking Curved Surface
author_facet Anuar N.S.; Aladdin N.A.L.; Pop I.
author_sort Anuar N.S.; Aladdin N.A.L.; Pop I.
title Darcy-Forchheimer Flow of Hybrid Carbon Nanotube over a Permeable Stretching/Shrinking Curved Surface
title_short Darcy-Forchheimer Flow of Hybrid Carbon Nanotube over a Permeable Stretching/Shrinking Curved Surface
title_full Darcy-Forchheimer Flow of Hybrid Carbon Nanotube over a Permeable Stretching/Shrinking Curved Surface
title_fullStr Darcy-Forchheimer Flow of Hybrid Carbon Nanotube over a Permeable Stretching/Shrinking Curved Surface
title_full_unstemmed Darcy-Forchheimer Flow of Hybrid Carbon Nanotube over a Permeable Stretching/Shrinking Curved Surface
title_sort Darcy-Forchheimer Flow of Hybrid Carbon Nanotube over a Permeable Stretching/Shrinking Curved Surface
publishDate 2025
container_title Journal of Advanced Research in Fluid Mechanics and Thermal Sciences
container_volume 126
container_issue 2
doi_str_mv 10.37934/arfmts.126.2.7385
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85217179957&doi=10.37934%2farfmts.126.2.7385&partnerID=40&md5=7b24fbdd8402894f3eb99eba59862d66
description The Darcy-Forchheimer flow of hybrid carbon nanotube over a permeable curved stretching/shrinking surface is investigated in this work. The Darcy-Forchheimer phrase is used to describe porous spaces with different porosity and permeability. The current problem is modelled using curvilinear coordinates due to the curved form of the geometry. A similarity transformation will be applied to the partial differential equations (PDEs) of the fluid flow to convert them to ordinary differential equations (ODEs). The numerical solutions of the equations of continuity, momentum, and energy are obtained using the bvp4c solver in MATLAB. To examine the impact of various physical parameters, including nanoparticle volume fraction, suction, inertia coefficient, and porosity, on temperature and velocity profiles, as well as the local Nusselt number and skin friction, a comprehensive graphical analysis is conducted. By carefully modifying these parameters and scrutinizing their effects on the flow and heat transfer properties, a dual solution was observed on the graphs. The results suggest that increasing the single-wall carbon nanotube (SWCNT) nanoparticle and inertia coefficient parameters narrow the range of solutions. When the SWCNT of a shrinking curved sheet is raised, the skin friction increases. Meanwhile, the inertia coefficient showed the opposite pattern. The increased SWCNT and inertia coefficient parameters decrease the local Nusselt number. Moreover, the findings are compared and rigorously confirmed with previous reported findings in the literature. © 2025, Semarak Ilmu Publishing. All rights reserved.
publisher Semarak Ilmu Publishing
issn 22897879
language English
format Article
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