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A new Caputo time fractional model for heat transfer enhancement of water based graphene nanofluid: An application to solar energy

In this article the idea of Caputo time fractional derivatives is applied to MHD mixed convection Poiseuille flow of nanofluids with graphene nanoparticles in a vertical channel. The applications of nanofluids in solar energy are argued for various solar thermal systems. It is argued in the article...

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Main Authors: Aman, Sidra, Khan, Ilyas, Zulkhibri, Ismail, Mohd Zuki, Salleh, Tlili, I.
Format: Article
Language:English
English
Published: Elsevier B.V. 2018
Subjects:
Q Science (General)
Online Access:http://umpir.ump.edu.my/id/eprint/22997/1/A%20new%20Caputo%20time%20fractional%20model%20for%20heat%20transfer%20enhancement%20of%20water%20based%20graphene%20nanofluid.pdf
http://umpir.ump.edu.my/id/eprint/22997/7/A%20new%20Caputo%20time%20fractional%20model%20for%20heat%20transfer%20enhancement.pdf
http://umpir.ump.edu.my/id/eprint/22997/
https://doi.org/10.1016/j.rinp.2018.04.007
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spelling my.ump.umpir.229972019-10-18T02:34:23Z http://umpir.ump.edu.my/id/eprint/22997/ A new Caputo time fractional model for heat transfer enhancement of water based graphene nanofluid: An application to solar energy Aman, Sidra Khan, Ilyas Zulkhibri, Ismail Mohd Zuki, Salleh Tlili, I. Q Science (General) In this article the idea of Caputo time fractional derivatives is applied to MHD mixed convection Poiseuille flow of nanofluids with graphene nanoparticles in a vertical channel. The applications of nanofluids in solar energy are argued for various solar thermal systems. It is argued in the article that using nanofluids is an alternate source to produce solar energy in thermal engineering and solar energy devices in industries. The problem is modelled in terms of PDE’s with initial and boundary conditions and solved analytically via Laplace transform method. The obtained solutions for velocity, temperature and concentration are expressed in terms of Wright’s function. These solutions are significantly controlled by the variations of parameters including thermal Grashof number, Solutal Grashof number and nanoparticles volume fraction. Expressions for skin-friction, Nusselt and Sherwood numbers are also determined on left and right walls of the vertical channel with important numerical results in tabular form. It is found that rate of heat transfer increases with increasing nanoparticles volume fraction and Caputo time fractional parameters. Elsevier B.V. 2018 Article PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/22997/1/A%20new%20Caputo%20time%20fractional%20model%20for%20heat%20transfer%20enhancement%20of%20water%20based%20graphene%20nanofluid.pdf pdf en cc_by_nc_nd_4 http://umpir.ump.edu.my/id/eprint/22997/7/A%20new%20Caputo%20time%20fractional%20model%20for%20heat%20transfer%20enhancement.pdf Aman, Sidra and Khan, Ilyas and Zulkhibri, Ismail and Mohd Zuki, Salleh and Tlili, I. (2018) A new Caputo time fractional model for heat transfer enhancement of water based graphene nanofluid: An application to solar energy. Results in Physics, 9. pp. 1352-1362. ISSN 2211-3797 https://doi.org/10.1016/j.rinp.2018.04.007 DOI: 10.1016/j.rinp.2018.04.007
institution Universiti Malaysia Pahang
building UMP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Pahang
content_source UMP Institutional Repository
url_provider http://umpir.ump.edu.my/
language English
English
topic Q Science (General)
spellingShingle Q Science (General)
Aman, Sidra
Khan, Ilyas
Zulkhibri, Ismail
Mohd Zuki, Salleh
Tlili, I.
A new Caputo time fractional model for heat transfer enhancement of water based graphene nanofluid: An application to solar energy
description In this article the idea of Caputo time fractional derivatives is applied to MHD mixed convection Poiseuille flow of nanofluids with graphene nanoparticles in a vertical channel. The applications of nanofluids in solar energy are argued for various solar thermal systems. It is argued in the article that using nanofluids is an alternate source to produce solar energy in thermal engineering and solar energy devices in industries. The problem is modelled in terms of PDE’s with initial and boundary conditions and solved analytically via Laplace transform method. The obtained solutions for velocity, temperature and concentration are expressed in terms of Wright’s function. These solutions are significantly controlled by the variations of parameters including thermal Grashof number, Solutal Grashof number and nanoparticles volume fraction. Expressions for skin-friction, Nusselt and Sherwood numbers are also determined on left and right walls of the vertical channel with important numerical results in tabular form. It is found that rate of heat transfer increases with increasing nanoparticles volume fraction and Caputo time fractional parameters.
format Article
author Aman, Sidra
Khan, Ilyas
Zulkhibri, Ismail
Mohd Zuki, Salleh
Tlili, I.
author_facet Aman, Sidra
Khan, Ilyas
Zulkhibri, Ismail
Mohd Zuki, Salleh
Tlili, I.
author_sort Aman, Sidra
title A new Caputo time fractional model for heat transfer enhancement of water based graphene nanofluid: An application to solar energy
title_short A new Caputo time fractional model for heat transfer enhancement of water based graphene nanofluid: An application to solar energy
title_full A new Caputo time fractional model for heat transfer enhancement of water based graphene nanofluid: An application to solar energy
title_fullStr A new Caputo time fractional model for heat transfer enhancement of water based graphene nanofluid: An application to solar energy
title_full_unstemmed A new Caputo time fractional model for heat transfer enhancement of water based graphene nanofluid: An application to solar energy
title_sort new caputo time fractional model for heat transfer enhancement of water based graphene nanofluid: an application to solar energy
publisher Elsevier B.V.
publishDate 2018
url http://umpir.ump.edu.my/id/eprint/22997/1/A%20new%20Caputo%20time%20fractional%20model%20for%20heat%20transfer%20enhancement%20of%20water%20based%20graphene%20nanofluid.pdf
http://umpir.ump.edu.my/id/eprint/22997/7/A%20new%20Caputo%20time%20fractional%20model%20for%20heat%20transfer%20enhancement.pdf
http://umpir.ump.edu.my/id/eprint/22997/
https://doi.org/10.1016/j.rinp.2018.04.007
_version_ 1648741139742720000
score 13.211869

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