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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2021
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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) |
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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 |
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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 |
work_keys_str_mv |
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