Transportation of Fe3O4-SiO2-Al2O3/EO and SiO2-Al2O3/EO nanoparticles in magnetized Reiner–Philippoff liquid, including modified fluxes via Galerkin algorithm: Significance of EMHD

This developing study is focused on mass diffusion and thermal energy enhancement in Reiner–Philippoff martial across a vertical-surface under an exposed Lorentz force. Characterization of the thermal energy and mass diffusion are modified utilizing non-Fourier’s theory in the presence of a heat sou...

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Main Authors: Muhammad Sohail, Umar Nazir, Kanit Mukdasai, Manoj Singh, Abha Singh, Chandika Rama Mohan, Ahmed M. Galal, Sayed M. Eldin
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-03-01
Series:Frontiers in Physics
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fphy.2023.1133550/full
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author Muhammad Sohail
Umar Nazir
Kanit Mukdasai
Manoj Singh
Abha Singh
Chandika Rama Mohan
Ahmed M. Galal
Ahmed M. Galal
Sayed M. Eldin
author_facet Muhammad Sohail
Umar Nazir
Kanit Mukdasai
Manoj Singh
Abha Singh
Chandika Rama Mohan
Ahmed M. Galal
Ahmed M. Galal
Sayed M. Eldin
author_sort Muhammad Sohail
collection DOAJ
description This developing study is focused on mass diffusion and thermal energy enhancement in Reiner–Philippoff martial across a vertical-surface under an exposed Lorentz force. Characterization of the thermal energy and mass diffusion are modified utilizing non-Fourier’s theory in the presence of a heat source. Three types of nanoparticles—Al2O3, titanium dioxide, and TiO2—in engine oil are inserted for production of heat energy. Darcy’s Forchheimer theory is used to analyze behavior flow and heat energy. Moreover, effects related to Dufour and Soret are added. A transformed system of ODEs is achieved regarding the developed model using similarity variables. Numerically developing models in the form of ODEs are handled with the aid of the finite element method (FEM). Fluidic thermal energy is augmented against upshot values of time relaxation number. Fluidic concentration declines against changes in Schmidt number and chemical reaction number.
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spelling doaj.art-c01c7270e57848c595cf361bc31182502023-03-21T06:13:30ZengFrontiers Media S.A.Frontiers in Physics2296-424X2023-03-011110.3389/fphy.2023.11335501133550Transportation of Fe3O4-SiO2-Al2O3/EO and SiO2-Al2O3/EO nanoparticles in magnetized Reiner–Philippoff liquid, including modified fluxes via Galerkin algorithm: Significance of EMHDMuhammad Sohail0Umar Nazir1Kanit Mukdasai2Manoj Singh3Abha Singh4Chandika Rama Mohan5Ahmed M. Galal6Ahmed M. Galal7Sayed M. Eldin8Institute of Mathematics, Khwaja Fareed University of Engineering & Information Technology, Rahim Yar Khan, PakistanDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, ThailandDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, ThailandDepartment of Mathematics, Faculty of Science, Jazan University, Jazan, Saudi ArabiaDepartment of Basic Sciences, College of Sciences and Theoretical Studies, Dammam-branch, Saudi Electronic University, Riyadh, Saudi ArabiaClinical Nutrition Department Applied Medical Science College Jazan University, Jizan, Saudi ArabiaMechanical Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Wadi Addawaser, Saudi ArabiaProduction Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, Mansoura, EgyptFaculty of Engineering and Technology, Future University in Egypt New Cairo, New Cairo, EgyptThis developing study is focused on mass diffusion and thermal energy enhancement in Reiner–Philippoff martial across a vertical-surface under an exposed Lorentz force. Characterization of the thermal energy and mass diffusion are modified utilizing non-Fourier’s theory in the presence of a heat source. Three types of nanoparticles—Al2O3, titanium dioxide, and TiO2—in engine oil are inserted for production of heat energy. Darcy’s Forchheimer theory is used to analyze behavior flow and heat energy. Moreover, effects related to Dufour and Soret are added. A transformed system of ODEs is achieved regarding the developed model using similarity variables. Numerically developing models in the form of ODEs are handled with the aid of the finite element method (FEM). Fluidic thermal energy is augmented against upshot values of time relaxation number. Fluidic concentration declines against changes in Schmidt number and chemical reaction number.https://www.frontiersin.org/articles/10.3389/fphy.2023.1133550/fullEMHDthree-phase simulationsbuoyancy forcesthermal propertiestwo-dimensional plateGalerkin algorithm
spellingShingle Muhammad Sohail
Umar Nazir
Kanit Mukdasai
Manoj Singh
Abha Singh
Chandika Rama Mohan
Ahmed M. Galal
Ahmed M. Galal
Sayed M. Eldin
Transportation of Fe3O4-SiO2-Al2O3/EO and SiO2-Al2O3/EO nanoparticles in magnetized Reiner–Philippoff liquid, including modified fluxes via Galerkin algorithm: Significance of EMHD
Frontiers in Physics
EMHD
three-phase simulations
buoyancy forces
thermal properties
two-dimensional plate
Galerkin algorithm
title Transportation of Fe3O4-SiO2-Al2O3/EO and SiO2-Al2O3/EO nanoparticles in magnetized Reiner–Philippoff liquid, including modified fluxes via Galerkin algorithm: Significance of EMHD
title_full Transportation of Fe3O4-SiO2-Al2O3/EO and SiO2-Al2O3/EO nanoparticles in magnetized Reiner–Philippoff liquid, including modified fluxes via Galerkin algorithm: Significance of EMHD
title_fullStr Transportation of Fe3O4-SiO2-Al2O3/EO and SiO2-Al2O3/EO nanoparticles in magnetized Reiner–Philippoff liquid, including modified fluxes via Galerkin algorithm: Significance of EMHD
title_full_unstemmed Transportation of Fe3O4-SiO2-Al2O3/EO and SiO2-Al2O3/EO nanoparticles in magnetized Reiner–Philippoff liquid, including modified fluxes via Galerkin algorithm: Significance of EMHD
title_short Transportation of Fe3O4-SiO2-Al2O3/EO and SiO2-Al2O3/EO nanoparticles in magnetized Reiner–Philippoff liquid, including modified fluxes via Galerkin algorithm: Significance of EMHD
title_sort transportation of fe3o4 sio2 al2o3 eo and sio2 al2o3 eo nanoparticles in magnetized reiner philippoff liquid including modified fluxes via galerkin algorithm significance of emhd
topic EMHD
three-phase simulations
buoyancy forces
thermal properties
two-dimensional plate
Galerkin algorithm
url https://www.frontiersin.org/articles/10.3389/fphy.2023.1133550/full
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