A novel machine learning approach for numerical simulation on the hybrid nanofluid flow past a converging/diverging channel: Properties of tantalum and alumina nanoparticles
Convergent and divergent channels have practical uses in the manufacture of fibres and glass, for the production of plastic sheets, the control of molten metal flows, and casting of metals. Also, hybrid nanofluids are being explored as possible working fluids for solar collectors and other high heat...
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Elsevier
2025-03-01
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Series: | Partial Differential Equations in Applied Mathematics |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124004492 |
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author | Shilpa B Jasgurpreet Singh Chohan N Beemkumar Ankur Kulshreshta Refka Ghodhbani Nashwan Adnan Othman Barno Abdullaeva M Ijaz Khan |
author_facet | Shilpa B Jasgurpreet Singh Chohan N Beemkumar Ankur Kulshreshta Refka Ghodhbani Nashwan Adnan Othman Barno Abdullaeva M Ijaz Khan |
author_sort | Shilpa B |
collection | DOAJ |
description | Convergent and divergent channels have practical uses in the manufacture of fibres and glass, for the production of plastic sheets, the control of molten metal flows, and casting of metals. Also, hybrid nanofluids are being explored as possible working fluids for solar collectors and other high heat flux systems because of their outstanding heat transfer abilities. The present study focuses on exploring the effect of quadratic thermal radiation on the hybrid nanoliquid stream via a convergent/divergent channel, considering the impact of homogeneous-heterogeneous chemical reactions with the suspension of tantalum and alumina nanoparticles on the liquid stream. The governing partial differential equations of the present problem are transformed into dimensionless ordinary differential equations with the help of similarity variables. Further, the resultant equations are solved using the finite element approach. Also, the Laguerre Polynomial-based Physics Informed Neural Network (L-PINN) model is adopted to analyze the fluid flow, heat, and mass transfer characteristics. The significance of pertinent physical parameters on the field variables is depicted with graphical representations. Turbulence, caused by chaotic fluid motion, increases energy dissipation, which can limit the channel's effective flow velocity in stretching convergent channels. A rise in the Reynolds number in a divergent stretchable and shrinkable channel raises the temperature due to improved convective heat transfer. |
format | Article |
id | doaj-art-35caef66437b4b1289a0731321cc1143 |
institution | Kabale University |
issn | 2666-8181 |
language | English |
publishDate | 2025-03-01 |
publisher | Elsevier |
record_format | Article |
series | Partial Differential Equations in Applied Mathematics |
spelling | doaj-art-35caef66437b4b1289a0731321cc11432025-01-09T06:14:50ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812025-03-0113101063A novel machine learning approach for numerical simulation on the hybrid nanofluid flow past a converging/diverging channel: Properties of tantalum and alumina nanoparticlesShilpa B0Jasgurpreet Singh Chohan1N Beemkumar2Ankur Kulshreshta3Refka Ghodhbani4Nashwan Adnan Othman5Barno Abdullaeva6M Ijaz Khan7Department of Mathematics, Dayananda Sagar College of Engineering, Bengaluru, Karnataka, IndiaSchool of Mechanical Engineering, Rayat Bahra University, Mohali, IndiaDepartment of Mechanical Engineering, School of Engineering and Technology, JAIN (Deemed to be University), Bangalore, Karnataka, IndiaNIMS School of Mechanical & Aerospace Engineering, NIMS Institute of Engineering & Technology, NIMS University Rajasthan, Jaipur, IndiaCenter for Scientific Research and Entrepreneurship, Northern Border University, Arar 73213, Saudi Arabia; Corresponding author at: Center for Scientific Research and Entrepreneurship, Northern Border University, Arar 73213, Saudi Arabia.Department of Computer Engineering, College of Engineering, Knowledge University, Erbil 44001, Iraq; Department of Computer Engineering, Al-Kitab University, Altun Kupri, IraqDepartment of Mathematics and Information Technologies, Vice-Rector for Scientific Affairs, Tashkent State Pedagogical University, Tashkent, UzbekistanDepartment of Mechanical Engineering, College of Engineering, Prince Mohammad Bin Fahd University, Al-Khobar, Saudi Arabia; Corresponding author.Convergent and divergent channels have practical uses in the manufacture of fibres and glass, for the production of plastic sheets, the control of molten metal flows, and casting of metals. Also, hybrid nanofluids are being explored as possible working fluids for solar collectors and other high heat flux systems because of their outstanding heat transfer abilities. The present study focuses on exploring the effect of quadratic thermal radiation on the hybrid nanoliquid stream via a convergent/divergent channel, considering the impact of homogeneous-heterogeneous chemical reactions with the suspension of tantalum and alumina nanoparticles on the liquid stream. The governing partial differential equations of the present problem are transformed into dimensionless ordinary differential equations with the help of similarity variables. Further, the resultant equations are solved using the finite element approach. Also, the Laguerre Polynomial-based Physics Informed Neural Network (L-PINN) model is adopted to analyze the fluid flow, heat, and mass transfer characteristics. The significance of pertinent physical parameters on the field variables is depicted with graphical representations. Turbulence, caused by chaotic fluid motion, increases energy dissipation, which can limit the channel's effective flow velocity in stretching convergent channels. A rise in the Reynolds number in a divergent stretchable and shrinkable channel raises the temperature due to improved convective heat transfer.http://www.sciencedirect.com/science/article/pii/S2666818124004492Homogeneous-heterogeneous chemical reactionQuadratic thermal radiationHybrid nanofluidConvergent/divergent channelFEML-PINN |
spellingShingle | Shilpa B Jasgurpreet Singh Chohan N Beemkumar Ankur Kulshreshta Refka Ghodhbani Nashwan Adnan Othman Barno Abdullaeva M Ijaz Khan A novel machine learning approach for numerical simulation on the hybrid nanofluid flow past a converging/diverging channel: Properties of tantalum and alumina nanoparticles Partial Differential Equations in Applied Mathematics Homogeneous-heterogeneous chemical reaction Quadratic thermal radiation Hybrid nanofluid Convergent/divergent channel FEM L-PINN |
title | A novel machine learning approach for numerical simulation on the hybrid nanofluid flow past a converging/diverging channel: Properties of tantalum and alumina nanoparticles |
title_full | A novel machine learning approach for numerical simulation on the hybrid nanofluid flow past a converging/diverging channel: Properties of tantalum and alumina nanoparticles |
title_fullStr | A novel machine learning approach for numerical simulation on the hybrid nanofluid flow past a converging/diverging channel: Properties of tantalum and alumina nanoparticles |
title_full_unstemmed | A novel machine learning approach for numerical simulation on the hybrid nanofluid flow past a converging/diverging channel: Properties of tantalum and alumina nanoparticles |
title_short | A novel machine learning approach for numerical simulation on the hybrid nanofluid flow past a converging/diverging channel: Properties of tantalum and alumina nanoparticles |
title_sort | novel machine learning approach for numerical simulation on the hybrid nanofluid flow past a converging diverging channel properties of tantalum and alumina nanoparticles |
topic | Homogeneous-heterogeneous chemical reaction Quadratic thermal radiation Hybrid nanofluid Convergent/divergent channel FEM L-PINN |
url | http://www.sciencedirect.com/science/article/pii/S2666818124004492 |
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