Magnetohydrodynamic influence on fractional nanofluid convection in infinite vertical porous media with constant heat flux

This study investigates the complex dynamics governing free convection flow in nanofluids under Magnetohydrodynamics (MHD) within a porous medium along an infinite vertical surface. We specifically focus on scenarios involving constant and uniform heat flux as well as heat sources. The governing equ...

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Main Authors: Hui Liu, Changliang Li, Jingbo Sun
Format: Article
Language:English
Published: Elsevier 2024-05-01
Series:Alexandria Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016824003314
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author Hui Liu
Changliang Li
Jingbo Sun
author_facet Hui Liu
Changliang Li
Jingbo Sun
author_sort Hui Liu
collection DOAJ
description This study investigates the complex dynamics governing free convection flow in nanofluids under Magnetohydrodynamics (MHD) within a porous medium along an infinite vertical surface. We specifically focus on scenarios involving constant and uniform heat flux as well as heat sources. The governing equations, incorporating the Boussinesq approximation, continuity, and momentum equations, are formulated and solved using Caputo-Fabrizio derivatives and Laplace transforms. This comprehensive approach integrates the Boussinesq approximation and Caputo-Fabrizio fractional derivatives, while the use of Laplace transforms enables precise analytical solutions. Additionally, our investigation highlights the significant impact of nanometer-sized copper particles on fluid properties, transforming the behavior from Newtonian (water-like) to non-Newtonian. This transformation profoundly affects thermal conductivity and velocity behavior within the system. Overall, this research establishes a robust foundation for future studies and provides a framework for exploring non-Newtonian nanofluid systems in the context of MHD-driven free convection flow.
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spelling doaj.art-da70c92c31f8462ea73f24c19e8e3aa52024-04-28T04:41:50ZengElsevierAlexandria Engineering Journal1110-01682024-05-0195224235Magnetohydrodynamic influence on fractional nanofluid convection in infinite vertical porous media with constant heat fluxHui Liu0Changliang Li1Jingbo Sun2School of Technology and Data, Yantai Nanshan University, Yantai 265713, Shandong, China; Corresponding author.School of Marxism, Yantai Nanshan University, Yantai 265713, Shandong, ChinaSchool of Technology and Data, Yantai Nanshan University, Yantai 265713, Shandong, ChinaThis study investigates the complex dynamics governing free convection flow in nanofluids under Magnetohydrodynamics (MHD) within a porous medium along an infinite vertical surface. We specifically focus on scenarios involving constant and uniform heat flux as well as heat sources. The governing equations, incorporating the Boussinesq approximation, continuity, and momentum equations, are formulated and solved using Caputo-Fabrizio derivatives and Laplace transforms. This comprehensive approach integrates the Boussinesq approximation and Caputo-Fabrizio fractional derivatives, while the use of Laplace transforms enables precise analytical solutions. Additionally, our investigation highlights the significant impact of nanometer-sized copper particles on fluid properties, transforming the behavior from Newtonian (water-like) to non-Newtonian. This transformation profoundly affects thermal conductivity and velocity behavior within the system. Overall, this research establishes a robust foundation for future studies and provides a framework for exploring non-Newtonian nanofluid systems in the context of MHD-driven free convection flow.http://www.sciencedirect.com/science/article/pii/S1110016824003314NanofluidsMagnetohydrodynamics (MHD)Free convectionPorous mediumBoussienq approximation
spellingShingle Hui Liu
Changliang Li
Jingbo Sun
Magnetohydrodynamic influence on fractional nanofluid convection in infinite vertical porous media with constant heat flux
Alexandria Engineering Journal
Nanofluids
Magnetohydrodynamics (MHD)
Free convection
Porous medium
Boussienq approximation
title Magnetohydrodynamic influence on fractional nanofluid convection in infinite vertical porous media with constant heat flux
title_full Magnetohydrodynamic influence on fractional nanofluid convection in infinite vertical porous media with constant heat flux
title_fullStr Magnetohydrodynamic influence on fractional nanofluid convection in infinite vertical porous media with constant heat flux
title_full_unstemmed Magnetohydrodynamic influence on fractional nanofluid convection in infinite vertical porous media with constant heat flux
title_short Magnetohydrodynamic influence on fractional nanofluid convection in infinite vertical porous media with constant heat flux
title_sort magnetohydrodynamic influence on fractional nanofluid convection in infinite vertical porous media with constant heat flux
topic Nanofluids
Magnetohydrodynamics (MHD)
Free convection
Porous medium
Boussienq approximation
url http://www.sciencedirect.com/science/article/pii/S1110016824003314
work_keys_str_mv AT huiliu magnetohydrodynamicinfluenceonfractionalnanofluidconvectionininfiniteverticalporousmediawithconstantheatflux
AT changliangli magnetohydrodynamicinfluenceonfractionalnanofluidconvectionininfiniteverticalporousmediawithconstantheatflux
AT jingbosun magnetohydrodynamicinfluenceonfractionalnanofluidconvectionininfiniteverticalporousmediawithconstantheatflux