Predicting heat transfer Performance in transient flow of CNT nanomaterials with thermal radiation past a heated spinning sphere using an artificial neural network: A machine learning approach

An efficient heat transfer phenomenon using nanofluid have greater challenges in various industries, engineering application the recent trend. Keeping this in present scenario, this study aims to optimize the heat transmission rate in the magnetized flow of nanomaterials through a rotating, spinning...

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Main Authors: S.R. Mishra, P.K. Pattnaik, Rupa Baithalu, P.K. Ratha, Subhajit Panda
Format: Article
Language:English
Published: Elsevier 2024-12-01
Series:Partial Differential Equations in Applied Mathematics
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Online Access:http://www.sciencedirect.com/science/article/pii/S266681812400322X
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author S.R. Mishra
P.K. Pattnaik
Rupa Baithalu
P.K. Ratha
Subhajit Panda
author_facet S.R. Mishra
P.K. Pattnaik
Rupa Baithalu
P.K. Ratha
Subhajit Panda
author_sort S.R. Mishra
collection DOAJ
description An efficient heat transfer phenomenon using nanofluid have greater challenges in various industries, engineering application the recent trend. Keeping this in present scenario, this study aims to optimize the heat transmission rate in the magnetized flow of nanomaterials through a rotating, spinning sphere. The heat transfer phenomena in the time-dependent fluid are enhanced by the incorporation of nonlinear radiation and a variable heat source. Additionally, the free convective flow is influenced by the effects of thermal buoyancy and a transverse magnetic field. The proposed model along with several factors is standardized through adequate transformation rules. Further, shooting-based Runge-Kutta technique is adopted with the help of built-in MATLAB function bvp4c for the solution of the transformed system. The prime focus of the proposed work is the optimizing heat transfer rate combined with regression analysis using artificial neural network and then it uses Levenberg Marquardt algorithm with well-posed training, testing, and validation data. The error analysis also presented briefly and the variation of characterizing parameters is depicted via graphs. Further, the important outcomes are; the particle concentration of carbon nanotubes contributes to decelerating the velocity profiles, leading to an increase in boundary layer thickness. In contrast, increasing magnetization has the opposite effect. Both nonlinear radiative heat and an additional heat source enhance the heat transfer phenomenon.
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series Partial Differential Equations in Applied Mathematics
spelling doaj-art-918947d320be4279bcb82deb2f2895b52025-08-20T02:38:21ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812024-12-011210093610.1016/j.padiff.2024.100936Predicting heat transfer Performance in transient flow of CNT nanomaterials with thermal radiation past a heated spinning sphere using an artificial neural network: A machine learning approachS.R. Mishra0P.K. Pattnaik1Rupa Baithalu2P.K. Ratha3Subhajit Panda4Department of Mathematics, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar, Odisha 751030, IndiaDepartment of Mathematics, Odisha University of Technology and Research, Bhubaneswar, Odisha 751029, IndiaDepartment of Mathematics, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar, Odisha 751030, IndiaDepartment of Mathematics, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar, Odisha 751030, IndiaCentre for Data Science, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar, Odisha 751030, India; Corresponding author.An efficient heat transfer phenomenon using nanofluid have greater challenges in various industries, engineering application the recent trend. Keeping this in present scenario, this study aims to optimize the heat transmission rate in the magnetized flow of nanomaterials through a rotating, spinning sphere. The heat transfer phenomena in the time-dependent fluid are enhanced by the incorporation of nonlinear radiation and a variable heat source. Additionally, the free convective flow is influenced by the effects of thermal buoyancy and a transverse magnetic field. The proposed model along with several factors is standardized through adequate transformation rules. Further, shooting-based Runge-Kutta technique is adopted with the help of built-in MATLAB function bvp4c for the solution of the transformed system. The prime focus of the proposed work is the optimizing heat transfer rate combined with regression analysis using artificial neural network and then it uses Levenberg Marquardt algorithm with well-posed training, testing, and validation data. The error analysis also presented briefly and the variation of characterizing parameters is depicted via graphs. Further, the important outcomes are; the particle concentration of carbon nanotubes contributes to decelerating the velocity profiles, leading to an increase in boundary layer thickness. In contrast, increasing magnetization has the opposite effect. Both nonlinear radiative heat and an additional heat source enhance the heat transfer phenomenon.http://www.sciencedirect.com/science/article/pii/S266681812400322XCNT nanofluidFree convectionNonlinear radiationNumerical techniqueArtificial neural network
spellingShingle S.R. Mishra
P.K. Pattnaik
Rupa Baithalu
P.K. Ratha
Subhajit Panda
Predicting heat transfer Performance in transient flow of CNT nanomaterials with thermal radiation past a heated spinning sphere using an artificial neural network: A machine learning approach
Partial Differential Equations in Applied Mathematics
CNT nanofluid
Free convection
Nonlinear radiation
Numerical technique
Artificial neural network
title Predicting heat transfer Performance in transient flow of CNT nanomaterials with thermal radiation past a heated spinning sphere using an artificial neural network: A machine learning approach
title_full Predicting heat transfer Performance in transient flow of CNT nanomaterials with thermal radiation past a heated spinning sphere using an artificial neural network: A machine learning approach
title_fullStr Predicting heat transfer Performance in transient flow of CNT nanomaterials with thermal radiation past a heated spinning sphere using an artificial neural network: A machine learning approach
title_full_unstemmed Predicting heat transfer Performance in transient flow of CNT nanomaterials with thermal radiation past a heated spinning sphere using an artificial neural network: A machine learning approach
title_short Predicting heat transfer Performance in transient flow of CNT nanomaterials with thermal radiation past a heated spinning sphere using an artificial neural network: A machine learning approach
title_sort predicting heat transfer performance in transient flow of cnt nanomaterials with thermal radiation past a heated spinning sphere using an artificial neural network a machine learning approach
topic CNT nanofluid
Free convection
Nonlinear radiation
Numerical technique
Artificial neural network
url http://www.sciencedirect.com/science/article/pii/S266681812400322X
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