Effect of generalized thermal transport on MHD free convection flows of nanofluids: A generalized Atangana-Baleanu derivative model

The purpose of this article is to analyse the influence of a the generalized thermal transport on the free convection flow of a viscous nanofluid inside a cylindrical tube. The generalized Atangana-Baleanu time-fractional differential operator is used to generalized the heat transport equation. The...

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Bibliographic Details
Published in:Case studies in thermal engineering 2022-12, Vol.40, p.102480, Article 102480
Main Authors: Shah, Nehad Ali, Asogwa, Kanayo K., Mahsud, Yasir, Lee, Sang-ro, Kang, Seonhui, Chung, Jae Dong, Abdullah, Ishtiaq, Muhammad
Format: Article
Language:English
Subjects:
Free convection flow
Generalized atangana-Baleanu fractional derivative
MHD
Nanofluid
Viscous fluid
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Summary:The purpose of this article is to analyse the influence of a the generalized thermal transport on the free convection flow of a viscous nanofluid inside a cylindrical tube. The generalized Atangana-Baleanu time-fractional differential operator is used to generalized the heat transport equation. The effect of transverse magnetic field is also considered. The close form solutions are found by use of integral transformations, more precisely Laplace and finite Hankel transformations. The graphs depict the influence of fractional and other physical characteristics. Tables illustrate the effect of the volume fraction parameter. It has found that the heat flux given by the fractional equation influence heat transfer because the values of the temperature gradient are attenuated by the weight function in the heat flux expression. The temperature in the nanofluid has a different evolution concerning the fractional parameter.
ISSN:2214-157X
2214-157X
DOI:10.1016/j.csite.2022.102480