$Application of water based drilling clay-nanoparticles in heat transfer of fractional Maxwell fluid over an infinite flat surface$
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Application of water based drilling clay-nanoparticles in heat transfer of fractional Maxwell fluid over an infinite flat surface

Abstract In the present paper, unsteady free convection flow of Maxwell fluid containing clay-nanoparticles is investigated. These particles are hanging in water, engine oil and kerosene. The values for nanofluids based on the Maxwell-Garnett and Brinkman models for effective thermal conductivity an...

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Autores principales:	Muhammad Imran Asjad, Rizwan Ali, Azhar Iqbal, Taseer Muhammad, Yu-Ming Chu
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/a743b2e6296d4f70b2d0f4f656868f66
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spelling	oai:doaj.org-article:a743b2e6296d4f70b2d0f4f656868f662021-12-02T15:15:13ZApplication of water based drilling clay-nanoparticles in heat transfer of fractional Maxwell fluid over an infinite flat surface10.1038/s41598-021-98066-w2045-2322https://doaj.org/article/a743b2e6296d4f70b2d0f4f656868f662021-09-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-98066-whttps://doaj.org/toc/2045-2322Abstract In the present paper, unsteady free convection flow of Maxwell fluid containing clay-nanoparticles is investigated. These particles are hanging in water, engine oil and kerosene. The values for nanofluids based on the Maxwell-Garnett and Brinkman models for effective thermal conductivity and viscosity are calculated numerically. The integer order governing equations are being extended to the novel non-integer order fractional derivative. Analytical solutions of temperature and velocity for Maxwell fluid are build using Laplace transform technique and expressed in such a way that they clearly satisfied the boundary conditions. To see the impact of different flow parameters on the velocity, we have drawn some graphs. As a result, we have seen that the fractional model is superior in narrate the decay property of field variables. Some limiting solutions are obtained and compared with the latest existing literature. Moreover, significant results can be observed for clay nanoparticles with different base fluids.Muhammad Imran AsjadRizwan AliAzhar IqbalTaseer MuhammadYu-Ming ChuNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-14 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Muhammad Imran Asjad Rizwan Ali Azhar Iqbal Taseer Muhammad Yu-Ming Chu Application of water based drilling clay-nanoparticles in heat transfer of fractional Maxwell fluid over an infinite flat surface
description	Abstract In the present paper, unsteady free convection flow of Maxwell fluid containing clay-nanoparticles is investigated. These particles are hanging in water, engine oil and kerosene. The values for nanofluids based on the Maxwell-Garnett and Brinkman models for effective thermal conductivity and viscosity are calculated numerically. The integer order governing equations are being extended to the novel non-integer order fractional derivative. Analytical solutions of temperature and velocity for Maxwell fluid are build using Laplace transform technique and expressed in such a way that they clearly satisfied the boundary conditions. To see the impact of different flow parameters on the velocity, we have drawn some graphs. As a result, we have seen that the fractional model is superior in narrate the decay property of field variables. Some limiting solutions are obtained and compared with the latest existing literature. Moreover, significant results can be observed for clay nanoparticles with different base fluids.
format	article
author	Muhammad Imran Asjad Rizwan Ali Azhar Iqbal Taseer Muhammad Yu-Ming Chu
author_facet	Muhammad Imran Asjad Rizwan Ali Azhar Iqbal Taseer Muhammad Yu-Ming Chu
author_sort	Muhammad Imran Asjad
title	Application of water based drilling clay-nanoparticles in heat transfer of fractional Maxwell fluid over an infinite flat surface
title_short	Application of water based drilling clay-nanoparticles in heat transfer of fractional Maxwell fluid over an infinite flat surface
title_full	Application of water based drilling clay-nanoparticles in heat transfer of fractional Maxwell fluid over an infinite flat surface
title_fullStr	Application of water based drilling clay-nanoparticles in heat transfer of fractional Maxwell fluid over an infinite flat surface
title_full_unstemmed	Application of water based drilling clay-nanoparticles in heat transfer of fractional Maxwell fluid over an infinite flat surface
title_sort	application of water based drilling clay-nanoparticles in heat transfer of fractional maxwell fluid over an infinite flat surface
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/a743b2e6296d4f70b2d0f4f656868f66
work_keys_str_mv	AT muhammadimranasjad applicationofwaterbaseddrillingclaynanoparticlesinheattransferoffractionalmaxwellfluidoveraninfiniteflatsurface AT rizwanali applicationofwaterbaseddrillingclaynanoparticlesinheattransferoffractionalmaxwellfluidoveraninfiniteflatsurface AT azhariqbal applicationofwaterbaseddrillingclaynanoparticlesinheattransferoffractionalmaxwellfluidoveraninfiniteflatsurface AT taseermuhammad applicationofwaterbaseddrillingclaynanoparticlesinheattransferoffractionalmaxwellfluidoveraninfiniteflatsurface AT yumingchu applicationofwaterbaseddrillingclaynanoparticlesinheattransferoffractionalmaxwellfluidoveraninfiniteflatsurface
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Application of water based drilling clay-nanoparticles in heat transfer of fractional Maxwell fluid over an infinite flat surface

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