Magnetohydrodynamic and Thermal Performance of Electrically Conducting Fluid along the Symmetrical and Vertical Magnetic Plate with Thermal Slip and Velocity Slip Effects

Numerical and physical simulations of the magnetohydrodynamic mixed convective flow of electrically conducting fluid along avertical magnetized and symmetrically heated plate with slip velocity and thermal slip effects have been performed. The novelty of the present work is to evaluate heat transfer...

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Main Authors: Khalid Abdulkhaliq M. Alharbi, Zia Ullah, Nawishta Jabeen, Muhammad Ashraf
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/15/6/1148
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author Khalid Abdulkhaliq M. Alharbi
Zia Ullah
Nawishta Jabeen
Muhammad Ashraf
author_facet Khalid Abdulkhaliq M. Alharbi
Zia Ullah
Nawishta Jabeen
Muhammad Ashraf
author_sort Khalid Abdulkhaliq M. Alharbi
collection DOAJ
description Numerical and physical simulations of the magnetohydrodynamic mixed convective flow of electrically conducting fluid along avertical magnetized and symmetrically heated plate with slip velocity and thermal slip effects have been performed. The novelty of the present work is to evaluate heat transfer and magnetic flux along the symmetrically magnetized plate with thermal and velocity slip effects. For a smooth algorithm and integration, the linked partial differential equations of the existing fluid flow system are converted into coupled nonlinear ordinary differential equations with specified streaming features and similarity components. By employing the Keller Box strategy, the modified ordinary differential equations (ODEs) are again translated in a suitable format for numerical results. The MATLAB software is used to compute the numerical results, which are then displayed in graphical and tabular form. The influence of several governing parameters on velocity, temperature distribution and magnetic fields in addition to the friction quantity, magnetic flux and heat transfer quantity has been explored. Computational evaluation is performed along the symmetrically heated plate to evaluate the velocity, magnetic field, and temperature together with their gradients. The selection of the magnetic force element, the buoyancy factor <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><mo><</mo><mi>ξ</mi><mo><</mo><mo>∞</mo></mrow></semantics></math></inline-formula> , and the Prandtl parameter range <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0.1</mn><mo>≤</mo><mi>Pr</mi><mo>≤</mo><mn>7.0</mn></mrow></semantics></math></inline-formula> were used to set the impacts of magnetic energy and diffusion, respectively. In the domains of magnetic resonance imaging (MRI), artificial heart wolves, interior heart cavities, and nanoburning systems, the present thermodynamic and magnetohydrodynamic issuesare significant.
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spelling doaj.art-f1a45c4a4aac41159f8e587c9b0799312023-11-18T12:50:07ZengMDPI AGSymmetry2073-89942023-05-01156114810.3390/sym15061148Magnetohydrodynamic and Thermal Performance of Electrically Conducting Fluid along the Symmetrical and Vertical Magnetic Plate with Thermal Slip and Velocity Slip EffectsKhalid Abdulkhaliq M. Alharbi0Zia Ullah1Nawishta Jabeen2Muhammad Ashraf3Mechanical Engineering Department, College of Engineering, Umm Al-Qura University, Makkah 24382, Saudi ArabiaDepartment of Mathematics and Statistics, The University of Lahore, Sargodha-Campus, Sargodha 40100, PakistanDepartment of Physics, Fatima Jinnah Women University, Rawalpindi 46000, PakistanDepartment of Mathematics, University of Sargodha, Sargodha 40100, PakistanNumerical and physical simulations of the magnetohydrodynamic mixed convective flow of electrically conducting fluid along avertical magnetized and symmetrically heated plate with slip velocity and thermal slip effects have been performed. The novelty of the present work is to evaluate heat transfer and magnetic flux along the symmetrically magnetized plate with thermal and velocity slip effects. For a smooth algorithm and integration, the linked partial differential equations of the existing fluid flow system are converted into coupled nonlinear ordinary differential equations with specified streaming features and similarity components. By employing the Keller Box strategy, the modified ordinary differential equations (ODEs) are again translated in a suitable format for numerical results. The MATLAB software is used to compute the numerical results, which are then displayed in graphical and tabular form. The influence of several governing parameters on velocity, temperature distribution and magnetic fields in addition to the friction quantity, magnetic flux and heat transfer quantity has been explored. Computational evaluation is performed along the symmetrically heated plate to evaluate the velocity, magnetic field, and temperature together with their gradients. The selection of the magnetic force element, the buoyancy factor <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><mo><</mo><mi>ξ</mi><mo><</mo><mo>∞</mo></mrow></semantics></math></inline-formula> , and the Prandtl parameter range <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0.1</mn><mo>≤</mo><mi>Pr</mi><mo>≤</mo><mn>7.0</mn></mrow></semantics></math></inline-formula> were used to set the impacts of magnetic energy and diffusion, respectively. In the domains of magnetic resonance imaging (MRI), artificial heart wolves, interior heart cavities, and nanoburning systems, the present thermodynamic and magnetohydrodynamic issuesare significant.https://www.mdpi.com/2073-8994/15/6/1148mixed convectionheat transferelectrical conducting fluidthermal slipsymmetrically magnetized plateslip velocity
spellingShingle Khalid Abdulkhaliq M. Alharbi
Zia Ullah
Nawishta Jabeen
Muhammad Ashraf
Magnetohydrodynamic and Thermal Performance of Electrically Conducting Fluid along the Symmetrical and Vertical Magnetic Plate with Thermal Slip and Velocity Slip Effects
Symmetry
mixed convection
heat transfer
electrical conducting fluid
thermal slip
symmetrically magnetized plate
slip velocity
title Magnetohydrodynamic and Thermal Performance of Electrically Conducting Fluid along the Symmetrical and Vertical Magnetic Plate with Thermal Slip and Velocity Slip Effects
title_full Magnetohydrodynamic and Thermal Performance of Electrically Conducting Fluid along the Symmetrical and Vertical Magnetic Plate with Thermal Slip and Velocity Slip Effects
title_fullStr Magnetohydrodynamic and Thermal Performance of Electrically Conducting Fluid along the Symmetrical and Vertical Magnetic Plate with Thermal Slip and Velocity Slip Effects
title_full_unstemmed Magnetohydrodynamic and Thermal Performance of Electrically Conducting Fluid along the Symmetrical and Vertical Magnetic Plate with Thermal Slip and Velocity Slip Effects
title_short Magnetohydrodynamic and Thermal Performance of Electrically Conducting Fluid along the Symmetrical and Vertical Magnetic Plate with Thermal Slip and Velocity Slip Effects
title_sort magnetohydrodynamic and thermal performance of electrically conducting fluid along the symmetrical and vertical magnetic plate with thermal slip and velocity slip effects
topic mixed convection
heat transfer
electrical conducting fluid
thermal slip
symmetrically magnetized plate
slip velocity
url https://www.mdpi.com/2073-8994/15/6/1148
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