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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Main Authors: Shilpa B, Jasgurpreet Singh Chohan, N Beemkumar, Ankur Kulshreshta, Refka Ghodhbani, Nashwan Adnan Othman, Barno Abdullaeva, M Ijaz Khan
Format: Article
Language:English
Published: Elsevier 2025-03-01
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.
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institution Kabale University
issn 2666-8181
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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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