Fractional model for MHD flow of Casson fluid with cadmium telluride nanoparticles using the generalized Fourier’s law

Abstract The present work used fractional model of Casson fluid by utilizing a generalized Fourier’s Law to construct Caputo Fractional model. A porous medium containing nanofluid flowing in a channel is considered with free convection and electrical conduction. A novel transformation is applied for...

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Autores principales: Nadeem Ahmad Sheikh, Dennis Ling Chuan Ching, Ilyas Khan, Hamzah Bin Sakidin, Muhammad Jamil, Hafiz Usman Khalid, Nisar Ahmed
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Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/1fcd5e5112f24b239a78740700afbf44
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spelling oai:doaj.org-article:1fcd5e5112f24b239a78740700afbf442021-12-02T18:50:50ZFractional model for MHD flow of Casson fluid with cadmium telluride nanoparticles using the generalized Fourier’s law10.1038/s41598-021-95528-z2045-2322https://doaj.org/article/1fcd5e5112f24b239a78740700afbf442021-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-95528-zhttps://doaj.org/toc/2045-2322Abstract The present work used fractional model of Casson fluid by utilizing a generalized Fourier’s Law to construct Caputo Fractional model. A porous medium containing nanofluid flowing in a channel is considered with free convection and electrical conduction. A novel transformation is applied for energy equation and then solved by using integral transforms, combinedly, the Fourier and Laplace transformations. The results are shown in form of Mittag-Leffler function. The influence of physical parameters have been presented in graphs and values in tables are discussed in this work. The results reveal that heat transfer increases with increasing values of the volume fraction of nanoparticles, while the velocity of the nanofluid decreases with the increasing values of volume fraction of these particles.Nadeem Ahmad SheikhDennis Ling Chuan ChingIlyas KhanHamzah Bin SakidinMuhammad JamilHafiz Usman KhalidNisar AhmedNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-21 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Nadeem Ahmad Sheikh
Dennis Ling Chuan Ching
Ilyas Khan
Hamzah Bin Sakidin
Muhammad Jamil
Hafiz Usman Khalid
Nisar Ahmed
Fractional model for MHD flow of Casson fluid with cadmium telluride nanoparticles using the generalized Fourier’s law
description Abstract The present work used fractional model of Casson fluid by utilizing a generalized Fourier’s Law to construct Caputo Fractional model. A porous medium containing nanofluid flowing in a channel is considered with free convection and electrical conduction. A novel transformation is applied for energy equation and then solved by using integral transforms, combinedly, the Fourier and Laplace transformations. The results are shown in form of Mittag-Leffler function. The influence of physical parameters have been presented in graphs and values in tables are discussed in this work. The results reveal that heat transfer increases with increasing values of the volume fraction of nanoparticles, while the velocity of the nanofluid decreases with the increasing values of volume fraction of these particles.
format article
author Nadeem Ahmad Sheikh
Dennis Ling Chuan Ching
Ilyas Khan
Hamzah Bin Sakidin
Muhammad Jamil
Hafiz Usman Khalid
Nisar Ahmed
author_facet Nadeem Ahmad Sheikh
Dennis Ling Chuan Ching
Ilyas Khan
Hamzah Bin Sakidin
Muhammad Jamil
Hafiz Usman Khalid
Nisar Ahmed
author_sort Nadeem Ahmad Sheikh
title Fractional model for MHD flow of Casson fluid with cadmium telluride nanoparticles using the generalized Fourier’s law
title_short Fractional model for MHD flow of Casson fluid with cadmium telluride nanoparticles using the generalized Fourier’s law
title_full Fractional model for MHD flow of Casson fluid with cadmium telluride nanoparticles using the generalized Fourier’s law
title_fullStr Fractional model for MHD flow of Casson fluid with cadmium telluride nanoparticles using the generalized Fourier’s law
title_full_unstemmed Fractional model for MHD flow of Casson fluid with cadmium telluride nanoparticles using the generalized Fourier’s law
title_sort fractional model for mhd flow of casson fluid with cadmium telluride nanoparticles using the generalized fourier’s law
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/1fcd5e5112f24b239a78740700afbf44
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