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Arabian Journal for Science and Engineering

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29-09-2021 | Research Article-Mechanical Engineering

Intelligent Computing with Levenberg–Marquardt Backpropagation Neural Networks for Third-Grade Nanofluid Over a Stretched Sheet with Convective Conditions

Authors: Muhammad Shoaib, Muhammad Asif Zahoor Raja, Ghania Zubair, Imrana Farhat, Kottakkaran Sooppy Nisar, Zulqurnain Sabir, Wasim Jamshed

Published in: Arabian Journal for Science and Engineering | Issue 7/2022

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Abstract

This article discussed the influence of activation energy on MHD flow of third-grade nanofluid model (MHD-TGNFM) along with the convective conditions and used the technique of backpropagation in artificial neural network using Levenberg–Marquardt technique (BANN-LMT). The PDEs representing (MHD-TGNFM) transformed into the system of ODEs. The dataset for BANN-LMT is computed for the six scenarios by using the Adam numerical method by varying the local Hartman number (Ha), Prandtl number (Pr), local chemical reaction parameter (σ), Schmidt number (Sc), concentration Biot number (γ₂) and thermal Biot number (γ₁). By testing, validation and training process of (BANN-LMT), the estimated solutions are interpreted for (MHD-TGNFM). The validation of the performance of (BANN-LMT) is done through the MSE, error histogram and regression analysis. The concentration profile increases when there is an increase in Biot number and the local Hartmann number; meanwhile, it decreases for the higher values of Schmidt number and the local chemical reaction parameter.

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Title: Intelligent Computing with Levenberg–Marquardt Backpropagation Neural Networks for Third-Grade Nanofluid Over a Stretched Sheet with Convective Conditions
Authors: Muhammad Shoaib
Muhammad Asif Zahoor Raja
Ghania Zubair
Imrana Farhat
Kottakkaran Sooppy Nisar
Zulqurnain Sabir
Wasim Jamshed
Publication date: 29-09-2021
Publisher: Springer Berlin Heidelberg
Published in: Arabian Journal for Science and Engineering / Issue 7/2022
Print ISSN: 2193-567X
Electronic ISSN: 2191-4281
DOI: https://doi.org/10.1007/s13369-021-06202-5

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