Exploring the Influence of Induced Magnetic Fields and Double-Diffusive Convection on Carreau Nanofluid Flow through Diverse Geometries: A Comparative Study Using Numerical and ANN Approaches

This current investigation aims to explore the significance of induced magnetic fields and double-diffusive convection in the radiative flow of Carreau nanofluid through three distinct geometries. To simplify the fluid transport equations, appropriate self-similarity variables were employed, convert...

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Main Authors: Shaik Jakeer, Seethi Reddy Reddisekhar Reddy, Sathishkumar Veerappampalayam Easwaramoorthy, Hayath Thameem Basha, Jaehyuk Cho
Format: Article
Language:English
Published: MDPI AG 2023-08-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/17/3687
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author Shaik Jakeer
Seethi Reddy Reddisekhar Reddy
Sathishkumar Veerappampalayam Easwaramoorthy
Hayath Thameem Basha
Jaehyuk Cho
author_facet Shaik Jakeer
Seethi Reddy Reddisekhar Reddy
Sathishkumar Veerappampalayam Easwaramoorthy
Hayath Thameem Basha
Jaehyuk Cho
author_sort Shaik Jakeer
collection DOAJ
description This current investigation aims to explore the significance of induced magnetic fields and double-diffusive convection in the radiative flow of Carreau nanofluid through three distinct geometries. To simplify the fluid transport equations, appropriate self-similarity variables were employed, converting them into ordinary differential equations. These equations were subsequently solved using the Runge–Kutta–Fehlberg (RKF) method. Through graphical representations like graphs and tables, the study demonstrates how various dynamic factors influence the fluid’s transport characteristics. Additionally, the artificial neural network (ANN) approach is considered an alternative method to handle fluid flow issues, significantly reducing processing time. In this study, a novel intelligent numerical computing approach was adopted, implementing a Levenberg–Marquardt algorithm-based MLP feed-forward back-propagation ANN. Data collection was conducted to evaluate, validate, and guide the artificial neural network model. Throughout all the investigated geometries, both velocity and induced magnetic profiles exhibit a declining trend for higher values of the magnetic parameter. An increase in the Dufour number corresponds to a rise in the nanofluid temperature. The concentration of nanofluid increases with higher values of the Soret number. Similarly, the nanofluid velocity increases with higher velocity slip parameter values, while the fluid temperature exhibits opposite behavior, decreasing with increasing velocity slip parameter values.
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spelling doaj.art-5b327ddfd3d24d57b7aacff714b0d5da2023-11-19T08:30:45ZengMDPI AGMathematics2227-73902023-08-011117368710.3390/math11173687Exploring the Influence of Induced Magnetic Fields and Double-Diffusive Convection on Carreau Nanofluid Flow through Diverse Geometries: A Comparative Study Using Numerical and ANN ApproachesShaik Jakeer0Seethi Reddy Reddisekhar Reddy1Sathishkumar Veerappampalayam Easwaramoorthy2Hayath Thameem Basha3Jaehyuk Cho4School of Technology, The Apollo University, Chittoor 517127, Andhra Pradesh, IndiaDepartment of Mathematics, Koneru Lakshmaiah Education Foundation, Bowrampet, Hyderabad 500043, Telangana, IndiaDepartment of Software Engineering, Jeonbuk National University, Jeonju-si 54896, Republic of KoreaDepartment of Mathematical Sciences, Ulsan National Institute of Science and Technology, Ulsan 44919, Republic of KoreaDepartment of Software Engineering, Jeonbuk National University, Jeonju-si 54896, Republic of KoreaThis current investigation aims to explore the significance of induced magnetic fields and double-diffusive convection in the radiative flow of Carreau nanofluid through three distinct geometries. To simplify the fluid transport equations, appropriate self-similarity variables were employed, converting them into ordinary differential equations. These equations were subsequently solved using the Runge–Kutta–Fehlberg (RKF) method. Through graphical representations like graphs and tables, the study demonstrates how various dynamic factors influence the fluid’s transport characteristics. Additionally, the artificial neural network (ANN) approach is considered an alternative method to handle fluid flow issues, significantly reducing processing time. In this study, a novel intelligent numerical computing approach was adopted, implementing a Levenberg–Marquardt algorithm-based MLP feed-forward back-propagation ANN. Data collection was conducted to evaluate, validate, and guide the artificial neural network model. Throughout all the investigated geometries, both velocity and induced magnetic profiles exhibit a declining trend for higher values of the magnetic parameter. An increase in the Dufour number corresponds to a rise in the nanofluid temperature. The concentration of nanofluid increases with higher values of the Soret number. Similarly, the nanofluid velocity increases with higher velocity slip parameter values, while the fluid temperature exhibits opposite behavior, decreasing with increasing velocity slip parameter values.https://www.mdpi.com/2227-7390/11/17/3687Carreau nanofluidinduced magnetic fieldwedge/plate/stagnation pointchemical reaction
spellingShingle Shaik Jakeer
Seethi Reddy Reddisekhar Reddy
Sathishkumar Veerappampalayam Easwaramoorthy
Hayath Thameem Basha
Jaehyuk Cho
Exploring the Influence of Induced Magnetic Fields and Double-Diffusive Convection on Carreau Nanofluid Flow through Diverse Geometries: A Comparative Study Using Numerical and ANN Approaches
Mathematics
Carreau nanofluid
induced magnetic field
wedge/plate/stagnation point
chemical reaction
title Exploring the Influence of Induced Magnetic Fields and Double-Diffusive Convection on Carreau Nanofluid Flow through Diverse Geometries: A Comparative Study Using Numerical and ANN Approaches
title_full Exploring the Influence of Induced Magnetic Fields and Double-Diffusive Convection on Carreau Nanofluid Flow through Diverse Geometries: A Comparative Study Using Numerical and ANN Approaches
title_fullStr Exploring the Influence of Induced Magnetic Fields and Double-Diffusive Convection on Carreau Nanofluid Flow through Diverse Geometries: A Comparative Study Using Numerical and ANN Approaches
title_full_unstemmed Exploring the Influence of Induced Magnetic Fields and Double-Diffusive Convection on Carreau Nanofluid Flow through Diverse Geometries: A Comparative Study Using Numerical and ANN Approaches
title_short Exploring the Influence of Induced Magnetic Fields and Double-Diffusive Convection on Carreau Nanofluid Flow through Diverse Geometries: A Comparative Study Using Numerical and ANN Approaches
title_sort exploring the influence of induced magnetic fields and double diffusive convection on carreau nanofluid flow through diverse geometries a comparative study using numerical and ann approaches
topic Carreau nanofluid
induced magnetic field
wedge/plate/stagnation point
chemical reaction
url https://www.mdpi.com/2227-7390/11/17/3687
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