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...
| 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
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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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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/ |
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Universiti Teknologi Petronas |
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| 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/ |
| _version_ |
1741197215629574144 |
| score |
11.62408 |