Fractional Model for the Flow of Casson Nanofluid using the Generalized Fourier�s Law for Heat Transfer

The present work used a fractional model of Casson fluid by utilizing a generalized Fourier's Law to construct Caputo Fractional model. A flow of nanofluid flowing in a channel is considered with free convection and electrical conduction. A novel transformation is applied for the energy equatio...

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Main Authors: Sheikh, N.A., Ching, D.L.C., Sakidin, H., Khan, I.
Format: Conference or Workshop Item
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.29273 /
Published: Springer Science and Business Media B.V. 2021
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85123296482&doi=10.1007%2f978-981-16-4513-6_67&partnerID=40&md5=9dce9905b19e781db130da9ccfe34186
http://eprints.utp.edu.my/29273/
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spelling utp-eprints.292732022-03-25T01:26:38Z Fractional Model for the Flow of Casson Nanofluid using the Generalized Fourier�s Law for Heat Transfer Sheikh, N.A. Ching, D.L.C. Sakidin, H. Khan, I. The present work used a fractional model of Casson fluid by utilizing a generalized Fourier's Law to construct Caputo Fractional model. A flow of nanofluid flowing in a channel is considered with free convection and electrical conduction. A novel transformation is applied for the energy equation and then solved using integral transforms, combined, the Fourier and Laplace transformations. The results are shown in the form of the Mittag�Leffler function. The influence of physical parameters has been presented in graphs and tables and discussed in this work. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. Springer Science and Business Media B.V. 2021 Conference or Workshop Item NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85123296482&doi=10.1007%2f978-981-16-4513-6_67&partnerID=40&md5=9dce9905b19e781db130da9ccfe34186 Sheikh, N.A. and Ching, D.L.C. and Sakidin, H. and Khan, I. (2021) Fractional Model for the Flow of Casson Nanofluid using the Generalized Fourier�s Law for Heat Transfer. In: UNSPECIFIED. http://eprints.utp.edu.my/29273/
institution Universiti Teknologi Petronas
collection UTP Institutional Repository
description The present work used a fractional model of Casson fluid by utilizing a generalized Fourier's Law to construct Caputo Fractional model. A flow of nanofluid flowing in a channel is considered with free convection and electrical conduction. A novel transformation is applied for the energy equation and then solved using integral transforms, combined, the Fourier and Laplace transformations. The results are shown in the form of the Mittag�Leffler function. The influence of physical parameters has been presented in graphs and tables and discussed in this work. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
format Conference or Workshop Item
author Sheikh, N.A.
Ching, D.L.C.
Sakidin, H.
Khan, I.
spellingShingle Sheikh, N.A.
Ching, D.L.C.
Sakidin, H.
Khan, I.
Fractional Model for the Flow of Casson Nanofluid using the Generalized Fourier�s Law for Heat Transfer
author_sort Sheikh, N.A.
title Fractional Model for the Flow of Casson Nanofluid using the Generalized Fourier�s Law for Heat Transfer
title_short Fractional Model for the Flow of Casson Nanofluid using the Generalized Fourier�s Law for Heat Transfer
title_full Fractional Model for the Flow of Casson Nanofluid using the Generalized Fourier�s Law for Heat Transfer
title_fullStr Fractional Model for the Flow of Casson Nanofluid using the Generalized Fourier�s Law for Heat Transfer
title_full_unstemmed Fractional Model for the Flow of Casson Nanofluid using the Generalized Fourier�s Law for Heat Transfer
title_sort fractional model for the flow of casson nanofluid using the generalized fourier�s law for heat transfer
publisher Springer Science and Business Media B.V.
publishDate 2021
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85123296482&doi=10.1007%2f978-981-16-4513-6_67&partnerID=40&md5=9dce9905b19e781db130da9ccfe34186
http://eprints.utp.edu.my/29273/
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score 11.62408