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Application of Atangana–Baleanu fractional derivative to MHD channel flow of CMC-based-CNT's nanofluid through a porous medium

The objective of this article is to apply the Atangana–Baleanu derivative fractional in Caputo sense to convective flow of Carboxy–Methyl–Cellulose (CMC) based Carbon nanotubes (CNT's) nanofluid in a vertical microchannel. The magnetohydrodynamic (MHD) flow through a porous medium together with...

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Main Authors: Saqib, Muhammad, Khan, Ilyas, Shafie, Sharidan
Format: Article
Published: Elsevier Ltd. 2018
Subjects:
Q Science (General)
Online Access:http://eprints.utm.my/id/eprint/84359/
https://doi.org/10.1016/j.chaos.2018.09.007
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spelling my.utm.843592019-12-28T01:48:43Z http://eprints.utm.my/id/eprint/84359/ Application of Atangana–Baleanu fractional derivative to MHD channel flow of CMC-based-CNT's nanofluid through a porous medium Saqib, Muhammad Khan, Ilyas Shafie, Sharidan Q Science (General) The objective of this article is to apply the Atangana–Baleanu derivative fractional in Caputo sense to convective flow of Carboxy–Methyl–Cellulose (CMC) based Carbon nanotubes (CNT's) nanofluid in a vertical microchannel. The magnetohydrodynamic (MHD) flow through a porous medium together with heat transfer is considered. The Atangana–Baleanu fractional derivative without singular and the non-local kernel is used in the mathematical formulation to get the time fractional governing equations subject to physical initial and boundary conditions. The Laplace transform technique is used to obtain the exact analytical solutions for velocity and temperature distributions. Finally, the influence of parameters of interest is studied through plots and discussed physically. Elsevier Ltd. 2018 Article PeerReviewed Saqib, Muhammad and Khan, Ilyas and Shafie, Sharidan (2018) Application of Atangana–Baleanu fractional derivative to MHD channel flow of CMC-based-CNT's nanofluid through a porous medium. Chaos, Solitons and Fractals, 116 . pp. 79-85. ISSN 0960-0779 https://doi.org/10.1016/j.chaos.2018.09.007
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic Q Science (General)
spellingShingle Q Science (General)
Saqib, Muhammad
Khan, Ilyas
Shafie, Sharidan
Application of Atangana–Baleanu fractional derivative to MHD channel flow of CMC-based-CNT's nanofluid through a porous medium
description The objective of this article is to apply the Atangana–Baleanu derivative fractional in Caputo sense to convective flow of Carboxy–Methyl–Cellulose (CMC) based Carbon nanotubes (CNT's) nanofluid in a vertical microchannel. The magnetohydrodynamic (MHD) flow through a porous medium together with heat transfer is considered. The Atangana–Baleanu fractional derivative without singular and the non-local kernel is used in the mathematical formulation to get the time fractional governing equations subject to physical initial and boundary conditions. The Laplace transform technique is used to obtain the exact analytical solutions for velocity and temperature distributions. Finally, the influence of parameters of interest is studied through plots and discussed physically.
format Article
author Saqib, Muhammad
Khan, Ilyas
Shafie, Sharidan
author_facet Saqib, Muhammad
Khan, Ilyas
Shafie, Sharidan
author_sort Saqib, Muhammad
title Application of Atangana–Baleanu fractional derivative to MHD channel flow of CMC-based-CNT's nanofluid through a porous medium
title_short Application of Atangana–Baleanu fractional derivative to MHD channel flow of CMC-based-CNT's nanofluid through a porous medium
title_full Application of Atangana–Baleanu fractional derivative to MHD channel flow of CMC-based-CNT's nanofluid through a porous medium
title_fullStr Application of Atangana–Baleanu fractional derivative to MHD channel flow of CMC-based-CNT's nanofluid through a porous medium
title_full_unstemmed Application of Atangana–Baleanu fractional derivative to MHD channel flow of CMC-based-CNT's nanofluid through a porous medium
title_sort application of atangana–baleanu fractional derivative to mhd channel flow of cmc-based-cnt's nanofluid through a porous medium
publisher Elsevier Ltd.
publishDate 2018
url http://eprints.utm.my/id/eprint/84359/
https://doi.org/10.1016/j.chaos.2018.09.007
_version_ 1654960076398526464
score 13.211869

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