Enhanced transport in non-newtonian nano-level fluid flow over a rotating disk under radiation and soret–dufour effects: A numerical insight

Rotating nanofluid systems are widely utilized in energy systems, chemical processing, and biomedical devices due to their superior heat transfer characteristics. This study investigates the Darcy–Forchheimer flow of Reiner–Rivlin nanofluid over a rotating disk, incorporating the physical effects of...

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Main Authors: Abbas Khan, Hashim, Bandari Shankar, Suriya Uma Devi, Waseem Sikandar, Kamel Guedri, Bandar M. Fadhl, Wasim Jamshed, Moaz Al-Lehaibi
Format: Article
Language:English
Published: Elsevier 2025-09-01
Series:Results in Engineering
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Online Access:http://www.sciencedirect.com/science/article/pii/S2590123025026696
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author Abbas Khan
Hashim
Bandari Shankar
Suriya Uma Devi
Waseem Sikandar
Kamel Guedri
Bandar M. Fadhl
Wasim Jamshed
Moaz Al-Lehaibi
author_facet Abbas Khan
Hashim
Bandari Shankar
Suriya Uma Devi
Waseem Sikandar
Kamel Guedri
Bandar M. Fadhl
Wasim Jamshed
Moaz Al-Lehaibi
author_sort Abbas Khan
collection DOAJ
description Rotating nanofluid systems are widely utilized in energy systems, chemical processing, and biomedical devices due to their superior heat transfer characteristics. This study investigates the Darcy–Forchheimer flow of Reiner–Rivlin nanofluid over a rotating disk, incorporating the physical effects of solute transport and thermal energy flow. Motivated by the limitations in existing models that often neglect the simultaneous influence of nonlinear drag and non-Newtonian fluid behavior, the current analysis aims to fill this gap through an extended formulation. The governing partial differential equations (PDEs) are transformed into a system of coupled ordinary differential equations (ODEs) using similarity variables. These ODEs are then solved numerically using the BVP4c collocation method in MATLAB, over the interval [0,7], with boundary conditions applied at the disk surface and far field. The accuracy of the numerical results is validated through residual error analysis and comparison with benchmark studies. Detailed parametric studies are conducted for key variables, including the Reiner–Rivlin parameter (λ), porosity parameter (K), magnetic field parameter (M), and Forchheimer number (Fr). Results reveal that the combined effect of magnetic, porous, and nonlinear inertial resistance significantly suppresses the velocity field, while enhancing or diminishing the thermal and concentration profiles depending on the nanoparticle interaction. The tabulated results for Nusselt and Sherwood numbers, along with 12 % to 35 % variations across the studied parameter ranges, offer valuable intuitions for optimizing nanofluid-based rotating disk systems in industrial applications.
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spelling doaj-art-2bcc46eac8cb456e986b1db7af374d5b2025-08-20T03:03:55ZengElsevierResults in Engineering2590-12302025-09-012710660010.1016/j.rineng.2025.106600Enhanced transport in non-newtonian nano-level fluid flow over a rotating disk under radiation and soret–dufour effects: A numerical insightAbbas Khan0 Hashim1Bandari Shankar2Suriya Uma Devi3Waseem Sikandar4Kamel Guedri5Bandar M. Fadhl6Wasim Jamshed7Moaz Al-Lehaibi8Department of Mathematics & Statistics, University of Haripur, Haripur, KP 22620, Pakistan; Corresponding author.Department of Mathematics & Statistics, University of Haripur, Haripur, KP 22620, PakistanDepartment of Mathematics, CVR College of Engineering, Mangal pally Telangana State 501510, IndiaDepartment of Mathematics, KPR Institute of Engineering and Technology, Coimbatore 641407, IndiaDepartment of Mathematics & Statistics, University of Haripur, Haripur, KP 22620, PakistanMechanical Engineering Department, College of Engineering and Architecture, Umm Al-Qura University, P. O. Box 5555, Makkah 21955, Saudi ArabiaMechanical Engineering Department, College of Engineering and Architecture, Umm Al-Qura University, P. O. Box 5555, Makkah 21955, Saudi ArabiaDepartment of Mathematics, Capital University of Science and Technology (CUST), Islamabad 44000, Pakistan; Department of Computer Engineering, Biruni University, Topkapi, Istanbul TurkeyMechanical Engineering Department, College of Engineering and Architecture, Umm Al-Qura University, P. O. Box 5555, Makkah 21955, Saudi ArabiaRotating nanofluid systems are widely utilized in energy systems, chemical processing, and biomedical devices due to their superior heat transfer characteristics. This study investigates the Darcy–Forchheimer flow of Reiner–Rivlin nanofluid over a rotating disk, incorporating the physical effects of solute transport and thermal energy flow. Motivated by the limitations in existing models that often neglect the simultaneous influence of nonlinear drag and non-Newtonian fluid behavior, the current analysis aims to fill this gap through an extended formulation. The governing partial differential equations (PDEs) are transformed into a system of coupled ordinary differential equations (ODEs) using similarity variables. These ODEs are then solved numerically using the BVP4c collocation method in MATLAB, over the interval [0,7], with boundary conditions applied at the disk surface and far field. The accuracy of the numerical results is validated through residual error analysis and comparison with benchmark studies. Detailed parametric studies are conducted for key variables, including the Reiner–Rivlin parameter (λ), porosity parameter (K), magnetic field parameter (M), and Forchheimer number (Fr). Results reveal that the combined effect of magnetic, porous, and nonlinear inertial resistance significantly suppresses the velocity field, while enhancing or diminishing the thermal and concentration profiles depending on the nanoparticle interaction. The tabulated results for Nusselt and Sherwood numbers, along with 12 % to 35 % variations across the studied parameter ranges, offer valuable intuitions for optimizing nanofluid-based rotating disk systems in industrial applications.http://www.sciencedirect.com/science/article/pii/S2590123025026696Darcy forchheimerReiner-RilvinNanofluidRotating diskSoret dufourThermal radiation
spellingShingle Abbas Khan
Hashim
Bandari Shankar
Suriya Uma Devi
Waseem Sikandar
Kamel Guedri
Bandar M. Fadhl
Wasim Jamshed
Moaz Al-Lehaibi
Enhanced transport in non-newtonian nano-level fluid flow over a rotating disk under radiation and soret–dufour effects: A numerical insight
Results in Engineering
Darcy forchheimer
Reiner-Rilvin
Nanofluid
Rotating disk
Soret dufour
Thermal radiation
title Enhanced transport in non-newtonian nano-level fluid flow over a rotating disk under radiation and soret–dufour effects: A numerical insight
title_full Enhanced transport in non-newtonian nano-level fluid flow over a rotating disk under radiation and soret–dufour effects: A numerical insight
title_fullStr Enhanced transport in non-newtonian nano-level fluid flow over a rotating disk under radiation and soret–dufour effects: A numerical insight
title_full_unstemmed Enhanced transport in non-newtonian nano-level fluid flow over a rotating disk under radiation and soret–dufour effects: A numerical insight
title_short Enhanced transport in non-newtonian nano-level fluid flow over a rotating disk under radiation and soret–dufour effects: A numerical insight
title_sort enhanced transport in non newtonian nano level fluid flow over a rotating disk under radiation and soret dufour effects a numerical insight
topic Darcy forchheimer
Reiner-Rilvin
Nanofluid
Rotating disk
Soret dufour
Thermal radiation
url http://www.sciencedirect.com/science/article/pii/S2590123025026696
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