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Application of fractional differential equations to heat transfer in hybrid nanofluid: modeling and solution via integral transforms

This article deals with the generalization of natural convection flow of Cu− Al2O3− H2O hybrid nanofluid in two infinite vertical parallel plates. To demonstrate the flow phenomena in two parallel plates of hybrid nanofluids, the Brinkman type fluid model together with the energy equation is conside...

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主要な著者: Saqib, Muhammad, Khan, Ilyas, Shafie, Sharidan
フォーマット: 論文
言語:English
出版事項: Springer International Publishing 2019
主題:
QA Mathematics
オンライン･アクセス:http://eprints.utm.my/id/eprint/89224/1/MuhammadSaqib2019_ApplicationofFractionalDifferentialEquationstoHeat.pdf
http://eprints.utm.my/id/eprint/89224/
http://dx.doi.org/10.1186/s13662-019-1988-5
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spelling my.utm.892242021-02-22T06:01:03Z http://eprints.utm.my/id/eprint/89224/ Application of fractional differential equations to heat transfer in hybrid nanofluid: modeling and solution via integral transforms Saqib, Muhammad Khan, Ilyas Shafie, Sharidan QA Mathematics This article deals with the generalization of natural convection flow of Cu− Al2O3− H2O hybrid nanofluid in two infinite vertical parallel plates. To demonstrate the flow phenomena in two parallel plates of hybrid nanofluids, the Brinkman type fluid model together with the energy equation is considered. The Caputo–Fabrizio fractional derivative and the Laplace transform technique are used to developed exact analytical solutions for velocity and temperature profiles. The general solutions for velocity and temperature profiles are brought into light through numerical computation and graphical representation. The obtained results show that the velocity and temperature profiles show dual behaviors for 0 < α< 1 and 0 < β< 1 where α and β are the fractional parameters. It is noticed that, for a shorter time, the velocity and temperature distributions decrease with increasing values of the fractional parameters, whereas the trend reverses for a longer time. Moreover, it is found that the velocity and temperature profiles oppositely behave for the volume fraction of hybrid nanofluids. Springer International Publishing 2019-02 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/89224/1/MuhammadSaqib2019_ApplicationofFractionalDifferentialEquationstoHeat.pdf Saqib, Muhammad and Khan, Ilyas and Shafie, Sharidan (2019) Application of fractional differential equations to heat transfer in hybrid nanofluid: modeling and solution via integral transforms. Advances in Difference Equations, 2019 . pp. 1-18. ISSN 1687-1839 http://dx.doi.org/10.1186/s13662-019-1988-5 DOI:10.1186/s13662-019-1988-5
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/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Saqib, Muhammad
Khan, Ilyas
Shafie, Sharidan
Application of fractional differential equations to heat transfer in hybrid nanofluid: modeling and solution via integral transforms
description This article deals with the generalization of natural convection flow of Cu− Al2O3− H2O hybrid nanofluid in two infinite vertical parallel plates. To demonstrate the flow phenomena in two parallel plates of hybrid nanofluids, the Brinkman type fluid model together with the energy equation is considered. The Caputo–Fabrizio fractional derivative and the Laplace transform technique are used to developed exact analytical solutions for velocity and temperature profiles. The general solutions for velocity and temperature profiles are brought into light through numerical computation and graphical representation. The obtained results show that the velocity and temperature profiles show dual behaviors for 0 < α< 1 and 0 < β< 1 where α and β are the fractional parameters. It is noticed that, for a shorter time, the velocity and temperature distributions decrease with increasing values of the fractional parameters, whereas the trend reverses for a longer time. Moreover, it is found that the velocity and temperature profiles oppositely behave for the volume fraction of hybrid nanofluids.
format Article
author Saqib, Muhammad
Khan, Ilyas
Shafie, Sharidan
author_facet Saqib, Muhammad
Khan, Ilyas
Shafie, Sharidan
author_sort Saqib, Muhammad
title Application of fractional differential equations to heat transfer in hybrid nanofluid: modeling and solution via integral transforms
title_short Application of fractional differential equations to heat transfer in hybrid nanofluid: modeling and solution via integral transforms
title_full Application of fractional differential equations to heat transfer in hybrid nanofluid: modeling and solution via integral transforms
title_fullStr Application of fractional differential equations to heat transfer in hybrid nanofluid: modeling and solution via integral transforms
title_full_unstemmed Application of fractional differential equations to heat transfer in hybrid nanofluid: modeling and solution via integral transforms
title_sort application of fractional differential equations to heat transfer in hybrid nanofluid: modeling and solution via integral transforms
publisher Springer International Publishing
publishDate 2019
url http://eprints.utm.my/id/eprint/89224/1/MuhammadSaqib2019_ApplicationofFractionalDifferentialEquationstoHeat.pdf
http://eprints.utm.my/id/eprint/89224/
http://dx.doi.org/10.1186/s13662-019-1988-5
_version_ 1692991761063870464
score 13.251813

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