Modelling Entropy in Magnetized Flow of Eyring–Powell Nanofluid through Nonlinear Stretching Surface with Chemical Reaction: A Finite Element Method Approach

The present paper explores the two-dimensional (2D) incompressible mixed-convection flow of magneto-hydrodynamic Eyring–Powell nanofluid through a nonlinear stretching surface in the occurrence of a chemical reaction, entropy generation, and Bejan number effects. The main focus is on the quantity of...

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Main Authors: Salman Saleem, Degavath Gopal, Nehad Ali Shah, Nosheen Feroz, Naikoti Kishan, Jae Dong Chung, Saleha Safdar
Format: Article
Language:English
Published: MDPI AG 2022-05-01
Series:Nanomaterials
Subjects:
Online Access:https://www.mdpi.com/2079-4991/12/11/1811
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author Salman Saleem
Degavath Gopal
Nehad Ali Shah
Nosheen Feroz
Naikoti Kishan
Jae Dong Chung
Saleha Safdar
author_facet Salman Saleem
Degavath Gopal
Nehad Ali Shah
Nosheen Feroz
Naikoti Kishan
Jae Dong Chung
Saleha Safdar
author_sort Salman Saleem
collection DOAJ
description The present paper explores the two-dimensional (2D) incompressible mixed-convection flow of magneto-hydrodynamic Eyring–Powell nanofluid through a nonlinear stretching surface in the occurrence of a chemical reaction, entropy generation, and Bejan number effects. The main focus is on the quantity of energy that is lost during any irreversible process of entropy generation. The system of entropy generation was examined with energy efficiency. The set of higher-order non-linear partial differential equations are transformed by utilizing non-dimensional parameters into a set of dimensionless ordinary differential equations. The set of ordinary differential equations are solved numerically with the help of the finite element method (FEM). The illustrative set of computational results of Eyring–Powell (E–P) flow on entropy generation, Bejan number, velocity, temperature, and concentration distributions, as well as physical quantities are influenced by several dimensionless physical parameters that are also presented graphically and in table-form and discussed in detail. It is shown that the Schemit number increases alongside an increase in temperature, but the opposite trend occurs in the Prandtl number. Bejan number and entropy generation decline with the effect of the concentration diffusion parameter, and the results are shown in graphs.
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spelling doaj.art-12d6cc1fe30942c3b382e0688bd03e542023-11-23T14:32:38ZengMDPI AGNanomaterials2079-49912022-05-011211181110.3390/nano12111811Modelling Entropy in Magnetized Flow of Eyring–Powell Nanofluid through Nonlinear Stretching Surface with Chemical Reaction: A Finite Element Method ApproachSalman Saleem0Degavath Gopal1Nehad Ali Shah2Nosheen Feroz3Naikoti Kishan4Jae Dong Chung5Saleha Safdar6Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi ArabiaDepartment of Mathematics, KG Reddy College of Engineering and Technology, Hyderabad 500075, IndiaDepartment of Mechanical Engineering, Sejong University, Seoul 05006, KoreaDepartment of Mathematics, Bacha Khan University, Charsadda P.O. Box 20, PakistanDepartment of Mathematics, Osmania University, Hyderabad 500007, IndiaDepartment of Mechanical Engineering, Sejong University, Seoul 05006, KoreaIndependent Researcher, Islamabad 44000, PakistanThe present paper explores the two-dimensional (2D) incompressible mixed-convection flow of magneto-hydrodynamic Eyring–Powell nanofluid through a nonlinear stretching surface in the occurrence of a chemical reaction, entropy generation, and Bejan number effects. The main focus is on the quantity of energy that is lost during any irreversible process of entropy generation. The system of entropy generation was examined with energy efficiency. The set of higher-order non-linear partial differential equations are transformed by utilizing non-dimensional parameters into a set of dimensionless ordinary differential equations. The set of ordinary differential equations are solved numerically with the help of the finite element method (FEM). The illustrative set of computational results of Eyring–Powell (E–P) flow on entropy generation, Bejan number, velocity, temperature, and concentration distributions, as well as physical quantities are influenced by several dimensionless physical parameters that are also presented graphically and in table-form and discussed in detail. It is shown that the Schemit number increases alongside an increase in temperature, but the opposite trend occurs in the Prandtl number. Bejan number and entropy generation decline with the effect of the concentration diffusion parameter, and the results are shown in graphs.https://www.mdpi.com/2079-4991/12/11/1811Bejan numberchemical reactionentropyEyring–Powell fluidfinite element method
spellingShingle Salman Saleem
Degavath Gopal
Nehad Ali Shah
Nosheen Feroz
Naikoti Kishan
Jae Dong Chung
Saleha Safdar
Modelling Entropy in Magnetized Flow of Eyring–Powell Nanofluid through Nonlinear Stretching Surface with Chemical Reaction: A Finite Element Method Approach
Nanomaterials
Bejan number
chemical reaction
entropy
Eyring–Powell fluid
finite element method
title Modelling Entropy in Magnetized Flow of Eyring–Powell Nanofluid through Nonlinear Stretching Surface with Chemical Reaction: A Finite Element Method Approach
title_full Modelling Entropy in Magnetized Flow of Eyring–Powell Nanofluid through Nonlinear Stretching Surface with Chemical Reaction: A Finite Element Method Approach
title_fullStr Modelling Entropy in Magnetized Flow of Eyring–Powell Nanofluid through Nonlinear Stretching Surface with Chemical Reaction: A Finite Element Method Approach
title_full_unstemmed Modelling Entropy in Magnetized Flow of Eyring–Powell Nanofluid through Nonlinear Stretching Surface with Chemical Reaction: A Finite Element Method Approach
title_short Modelling Entropy in Magnetized Flow of Eyring–Powell Nanofluid through Nonlinear Stretching Surface with Chemical Reaction: A Finite Element Method Approach
title_sort modelling entropy in magnetized flow of eyring powell nanofluid through nonlinear stretching surface with chemical reaction a finite element method approach
topic Bejan number
chemical reaction
entropy
Eyring–Powell fluid
finite element method
url https://www.mdpi.com/2079-4991/12/11/1811
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