Two-phase Agrawal hybrid nanofluid flow for thermal and solutal transport fluxes induced by a permeable stretching/shrinking disk

Nanofluid is one of the modern heat transfer fluids that offer the potential to substantially enhance the heat transfer efficiency of conventional fluids. Extensive research has been undertaken to explore its fundamental thermophysical properties specifically viscosity and as well as thermal conduct...

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Main Authors: Hatem Gasmi, Muhammad Waqas, Umair Khan, Aurang Zaib, Anuar Ishak, Imtiaz Khan, Ali Elrashidi, Mohammed Zakarya
Format: Article
Language:English
Published: Elsevier 2025-01-01
Series:Alexandria Engineering Journal
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Online Access:http://www.sciencedirect.com/science/article/pii/S1110016824012407
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author Hatem Gasmi
Muhammad Waqas
Umair Khan
Aurang Zaib
Anuar Ishak
Imtiaz Khan
Ali Elrashidi
Mohammed Zakarya
author_facet Hatem Gasmi
Muhammad Waqas
Umair Khan
Aurang Zaib
Anuar Ishak
Imtiaz Khan
Ali Elrashidi
Mohammed Zakarya
author_sort Hatem Gasmi
collection DOAJ
description Nanofluid is one of the modern heat transfer fluids that offer the potential to substantially enhance the heat transfer efficiency of conventional fluids. Extensive research has been undertaken to explore its fundamental thermophysical properties specifically viscosity and as well as thermal conductivity. This research emphasizes the significance of hybrid nanofluids and investigates the effect of Brownian motion and thermophoretic phenomena on the characteristics of the Agrawal flow that tends to a stagnation point adjacent to a moving porous disk. The model also accounts for the effects of Smoluchowski temperature and Maxwell velocity slip conditions. Through the utilization of similarity ansatz, the governing partial differential equations are simplified into a class of ordinary differential (similarity) equations. Subsequently, these simplified equations achieved numerical solutions by employing the bvp4c solver, which is specifically designed for fourth-ordered boundary value problems. The study delves into the remarkable impacts of the pertinent embedded parameters on key parameters such as mass transfer rate, heat transfer rate, and shear stress. These effects are brilliantly depicted through a combination of graphs and tables. Graphical analyses disclose the presence of dual solutions within a particular range of the stretching/shrinking parameter. Also, enhancing the solid volume fraction of nanoparticles leads to a notable rise in the shear stress and heat transfer for both solution branches, whereas the mass transfer rate experiences a reduction.
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institution Kabale University
issn 1110-0168
language English
publishDate 2025-01-01
publisher Elsevier
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series Alexandria Engineering Journal
spelling doaj-art-daefc25e3d5b421b9a890b26a942f33b2025-01-18T05:03:41ZengElsevierAlexandria Engineering Journal1110-01682025-01-01111566578Two-phase Agrawal hybrid nanofluid flow for thermal and solutal transport fluxes induced by a permeable stretching/shrinking diskHatem Gasmi0Muhammad Waqas1Umair Khan2Aurang Zaib3Anuar Ishak4Imtiaz Khan5Ali Elrashidi6Mohammed Zakarya7Department of Civil Engineering, College of Engineering, University of Hail, Hail, Saudi ArabiaDepartment of Mathematics, City University of Science and Information Technology, Peshawar, PakistanDepartment of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM, Bangi, Selangor 43600, Malaysia; Department of Mathematics, Faculty of Science, Sakarya University, Serdivan/Sakarya 54050, Turkey; Department of Mechanics and Mathematics, Western Caspian University, Baku 1001, Azerbaijan; Corresponding author at: Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM, Bangi, Selangor 43600, Malaysia.Department of Mathematical Sciences, Federal Urdu University of Arts, Science & Technology, Gulshan-e-Iqbal, Karachi 75300, PakistanDepartment of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM, Bangi, Selangor 43600, MalaysiaDepartment of Physics, Quaid-i-Azam University, Islamabad 45320, PakistanDepartment of Electrical Engineering, College of Engineering, University of Business and Technology, Jeddah 21448, Saudi Arabia; Engineering Mathematics Department, Faculty of Engineering, Alexandria University, Alexandria, EgyptDepartment of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi ArabiaNanofluid is one of the modern heat transfer fluids that offer the potential to substantially enhance the heat transfer efficiency of conventional fluids. Extensive research has been undertaken to explore its fundamental thermophysical properties specifically viscosity and as well as thermal conductivity. This research emphasizes the significance of hybrid nanofluids and investigates the effect of Brownian motion and thermophoretic phenomena on the characteristics of the Agrawal flow that tends to a stagnation point adjacent to a moving porous disk. The model also accounts for the effects of Smoluchowski temperature and Maxwell velocity slip conditions. Through the utilization of similarity ansatz, the governing partial differential equations are simplified into a class of ordinary differential (similarity) equations. Subsequently, these simplified equations achieved numerical solutions by employing the bvp4c solver, which is specifically designed for fourth-ordered boundary value problems. The study delves into the remarkable impacts of the pertinent embedded parameters on key parameters such as mass transfer rate, heat transfer rate, and shear stress. These effects are brilliantly depicted through a combination of graphs and tables. Graphical analyses disclose the presence of dual solutions within a particular range of the stretching/shrinking parameter. Also, enhancing the solid volume fraction of nanoparticles leads to a notable rise in the shear stress and heat transfer for both solution branches, whereas the mass transfer rate experiences a reduction.http://www.sciencedirect.com/science/article/pii/S1110016824012407Agrawal flowHybrid nanoparticleSlip conditionsTwo-phase modelNumerical methods
spellingShingle Hatem Gasmi
Muhammad Waqas
Umair Khan
Aurang Zaib
Anuar Ishak
Imtiaz Khan
Ali Elrashidi
Mohammed Zakarya
Two-phase Agrawal hybrid nanofluid flow for thermal and solutal transport fluxes induced by a permeable stretching/shrinking disk
Alexandria Engineering Journal
Agrawal flow
Hybrid nanoparticle
Slip conditions
Two-phase model
Numerical methods
title Two-phase Agrawal hybrid nanofluid flow for thermal and solutal transport fluxes induced by a permeable stretching/shrinking disk
title_full Two-phase Agrawal hybrid nanofluid flow for thermal and solutal transport fluxes induced by a permeable stretching/shrinking disk
title_fullStr Two-phase Agrawal hybrid nanofluid flow for thermal and solutal transport fluxes induced by a permeable stretching/shrinking disk
title_full_unstemmed Two-phase Agrawal hybrid nanofluid flow for thermal and solutal transport fluxes induced by a permeable stretching/shrinking disk
title_short Two-phase Agrawal hybrid nanofluid flow for thermal and solutal transport fluxes induced by a permeable stretching/shrinking disk
title_sort two phase agrawal hybrid nanofluid flow for thermal and solutal transport fluxes induced by a permeable stretching shrinking disk
topic Agrawal flow
Hybrid nanoparticle
Slip conditions
Two-phase model
Numerical methods
url http://www.sciencedirect.com/science/article/pii/S1110016824012407
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