Mixed convection hybrid nanofluid flow past a non-isothermal cone and wedge with radiation and convective boundary condition: Heat transfer optimization

This study analyzes the steady hybrid nanofluid flow over a permeable, non-isothermal cone and wedge. The heat transfer analysis considers the effects of thermal radiation and convective boundary conditions. Non-linear ordinary differential equations, derived through similarity transformation of the...

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Main Authors: Rusya Iryanti Yahaya, Norihan Md Arifin, Mohd Shafie Mustafa, Ioan Pop, Fadzilah Md Ali, Siti Suzilliana Putri Mohamed Isa
Format: Article
Language:English
Published: Elsevier 2025-02-01
Series:Case Studies in Thermal Engineering
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Online Access:http://www.sciencedirect.com/science/article/pii/S2214157X25000280
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author Rusya Iryanti Yahaya
Norihan Md Arifin
Mohd Shafie Mustafa
Ioan Pop
Fadzilah Md Ali
Siti Suzilliana Putri Mohamed Isa
author_facet Rusya Iryanti Yahaya
Norihan Md Arifin
Mohd Shafie Mustafa
Ioan Pop
Fadzilah Md Ali
Siti Suzilliana Putri Mohamed Isa
author_sort Rusya Iryanti Yahaya
collection DOAJ
description This study analyzes the steady hybrid nanofluid flow over a permeable, non-isothermal cone and wedge. The heat transfer analysis considers the effects of thermal radiation and convective boundary conditions. Non-linear ordinary differential equations, derived through similarity transformation of the governing partial differential equations and boundary conditions, are solved numerically using the bvp4c solver. The resulting triple solutions are then subjected to a stability analysis. It is confirmed that only the first solution is stable and physically meaningful, while the other solutions are unstable. The physical quantities of interest, namely the local skin friction coefficient and local Nusselt number, are found to be higher for assisting mixed convection flow than for opposing flow. Compared to the wedge geometry, hybrid nanofluid flow over the cone exhibits a lower local skin friction coefficient but a higher local Nusselt number. Furthermore, optimization results from the response surface methodology (RSM) indicate that the maximum local Nusselt number, corresponding to the highest heat transfer rate at the cone/wedge surface, can be achieved at high values of the Biot number, radiation parameter, and wall temperature parameter.
format Article
id doaj-art-9ee05a3bc87e48a6bd02286ddb5d9257
institution Kabale University
issn 2214-157X
language English
publishDate 2025-02-01
publisher Elsevier
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series Case Studies in Thermal Engineering
spelling doaj-art-9ee05a3bc87e48a6bd02286ddb5d92572025-02-02T05:27:24ZengElsevierCase Studies in Thermal Engineering2214-157X2025-02-0166105768Mixed convection hybrid nanofluid flow past a non-isothermal cone and wedge with radiation and convective boundary condition: Heat transfer optimizationRusya Iryanti Yahaya0Norihan Md Arifin1Mohd Shafie Mustafa2Ioan Pop3Fadzilah Md Ali4Siti Suzilliana Putri Mohamed Isa5Institute for Mathematical Research, Universiti Putra Malaysia, UPM Serdang, 43400, Selangor, MalaysiaInstitute for Mathematical Research, Universiti Putra Malaysia, UPM Serdang, 43400, Selangor, Malaysia; Department of Mathematics and Statistics, Universiti Putra Malaysia, UPM Serdang, 43400, Selangor, Malaysia; Corresponding author. Institute for Mathematical Research, Universiti Putra Malaysia, UPM Serdang, 43400, Selangor, Malaysia.Department of Mathematics and Statistics, Universiti Putra Malaysia, UPM Serdang, 43400, Selangor, MalaysiaDepartment of Mathematics, Babeş-Bolyai University, 400084, Cluj-Napoca, RomaniaInstitute for Mathematical Research, Universiti Putra Malaysia, UPM Serdang, 43400, Selangor, Malaysia; Department of Mathematics and Statistics, Universiti Putra Malaysia, UPM Serdang, 43400, Selangor, MalaysiaInstitute for Mathematical Research, Universiti Putra Malaysia, UPM Serdang, 43400, Selangor, Malaysia; Centre for Foundation Studies in Science of Universiti Putra Malaysia, Universiti Putra Malaysia, UPM Serdang, 43400, Selangor, MalaysiaThis study analyzes the steady hybrid nanofluid flow over a permeable, non-isothermal cone and wedge. The heat transfer analysis considers the effects of thermal radiation and convective boundary conditions. Non-linear ordinary differential equations, derived through similarity transformation of the governing partial differential equations and boundary conditions, are solved numerically using the bvp4c solver. The resulting triple solutions are then subjected to a stability analysis. It is confirmed that only the first solution is stable and physically meaningful, while the other solutions are unstable. The physical quantities of interest, namely the local skin friction coefficient and local Nusselt number, are found to be higher for assisting mixed convection flow than for opposing flow. Compared to the wedge geometry, hybrid nanofluid flow over the cone exhibits a lower local skin friction coefficient but a higher local Nusselt number. Furthermore, optimization results from the response surface methodology (RSM) indicate that the maximum local Nusselt number, corresponding to the highest heat transfer rate at the cone/wedge surface, can be achieved at high values of the Biot number, radiation parameter, and wall temperature parameter.http://www.sciencedirect.com/science/article/pii/S2214157X25000280Hybrid nanofluidMixed convectionNon-isothermalCone/wedgeRSM
spellingShingle Rusya Iryanti Yahaya
Norihan Md Arifin
Mohd Shafie Mustafa
Ioan Pop
Fadzilah Md Ali
Siti Suzilliana Putri Mohamed Isa
Mixed convection hybrid nanofluid flow past a non-isothermal cone and wedge with radiation and convective boundary condition: Heat transfer optimization
Case Studies in Thermal Engineering
Hybrid nanofluid
Mixed convection
Non-isothermal
Cone/wedge
RSM
title Mixed convection hybrid nanofluid flow past a non-isothermal cone and wedge with radiation and convective boundary condition: Heat transfer optimization
title_full Mixed convection hybrid nanofluid flow past a non-isothermal cone and wedge with radiation and convective boundary condition: Heat transfer optimization
title_fullStr Mixed convection hybrid nanofluid flow past a non-isothermal cone and wedge with radiation and convective boundary condition: Heat transfer optimization
title_full_unstemmed Mixed convection hybrid nanofluid flow past a non-isothermal cone and wedge with radiation and convective boundary condition: Heat transfer optimization
title_short Mixed convection hybrid nanofluid flow past a non-isothermal cone and wedge with radiation and convective boundary condition: Heat transfer optimization
title_sort mixed convection hybrid nanofluid flow past a non isothermal cone and wedge with radiation and convective boundary condition heat transfer optimization
topic Hybrid nanofluid
Mixed convection
Non-isothermal
Cone/wedge
RSM
url http://www.sciencedirect.com/science/article/pii/S2214157X25000280
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