Marangoni convection in layers of water-based nanofluids under the effect of rotation

A linear stability analysis is performed for the onset of Marangoni convection in a horizontal layer of a nanofluid heated from below and affected by rotation. The top boundary of the layer is assumed to be impenetrable to nanoparticles with their distribution being determined from a conservation co...

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Autores principales:	Bakhsh Abeer H., Abdullah Abdullah A.
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	linear stability brownian motion rotation thermophoresis chebyshev method 76e06 76e09 76e25 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/8b698c3fda884ec2957ac2e8a00f14aa
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spelling	oai:doaj.org-article:8b698c3fda884ec2957ac2e8a00f14aa2021-12-05T14:10:53ZMarangoni convection in layers of water-based nanofluids under the effect of rotation2391-545510.1515/math-2021-0073https://doaj.org/article/8b698c3fda884ec2957ac2e8a00f14aa2021-09-01T00:00:00Zhttps://doi.org/10.1515/math-2021-0073https://doaj.org/toc/2391-5455A linear stability analysis is performed for the onset of Marangoni convection in a horizontal layer of a nanofluid heated from below and affected by rotation. The top boundary of the layer is assumed to be impenetrable to nanoparticles with their distribution being determined from a conservation condition while the bottom boundary is assumed to be a rigid surface with fixed temperature. The motion of the nanoparticles is characterized by the effects of thermophoresis and Brownian diffusion. A modification model is used in which the effects of Brownian diffusion and thermophoresis are taken into consideration by new expressions in the nanoparticle mass flux. Also, material properties of the nanofluid are modelled by non-constant constitutive expressions depending on nanoparticle volume fraction. The steady-state solution is shown to be well approximated by an exponential distribution of the nanoparticle volume fraction. The Chebyshev-Tau method is used to obtain the critical thermal and nanoparticle Marangoni numbers. Different stability boundaries are obtained using the modified model and the rotation.Bakhsh Abeer H.Abdullah Abdullah A.De Gruyterarticlelinear stabilitybrownian motionrotationthermophoresischebyshev method76e0676e0976e25MathematicsQA1-939ENOpen Mathematics, Vol 19, Iss 1, Pp 1029-1046 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	linear stability brownian motion rotation thermophoresis chebyshev method 76e06 76e09 76e25 Mathematics QA1-939
spellingShingle	linear stability brownian motion rotation thermophoresis chebyshev method 76e06 76e09 76e25 Mathematics QA1-939 Bakhsh Abeer H. Abdullah Abdullah A. Marangoni convection in layers of water-based nanofluids under the effect of rotation
description	A linear stability analysis is performed for the onset of Marangoni convection in a horizontal layer of a nanofluid heated from below and affected by rotation. The top boundary of the layer is assumed to be impenetrable to nanoparticles with their distribution being determined from a conservation condition while the bottom boundary is assumed to be a rigid surface with fixed temperature. The motion of the nanoparticles is characterized by the effects of thermophoresis and Brownian diffusion. A modification model is used in which the effects of Brownian diffusion and thermophoresis are taken into consideration by new expressions in the nanoparticle mass flux. Also, material properties of the nanofluid are modelled by non-constant constitutive expressions depending on nanoparticle volume fraction. The steady-state solution is shown to be well approximated by an exponential distribution of the nanoparticle volume fraction. The Chebyshev-Tau method is used to obtain the critical thermal and nanoparticle Marangoni numbers. Different stability boundaries are obtained using the modified model and the rotation.
format	article
author	Bakhsh Abeer H. Abdullah Abdullah A.
author_facet	Bakhsh Abeer H. Abdullah Abdullah A.
author_sort	Bakhsh Abeer H.
title	Marangoni convection in layers of water-based nanofluids under the effect of rotation
title_short	Marangoni convection in layers of water-based nanofluids under the effect of rotation
title_full	Marangoni convection in layers of water-based nanofluids under the effect of rotation
title_fullStr	Marangoni convection in layers of water-based nanofluids under the effect of rotation
title_full_unstemmed	Marangoni convection in layers of water-based nanofluids under the effect of rotation
title_sort	marangoni convection in layers of water-based nanofluids under the effect of rotation
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/8b698c3fda884ec2957ac2e8a00f14aa
work_keys_str_mv	AT bakhshabeerh marangoniconvectioninlayersofwaterbasednanofluidsundertheeffectofrotation AT abdullahabdullaha marangoniconvectioninlayersofwaterbasednanofluidsundertheeffectofrotation
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Marangoni convection in layers of water-based nanofluids under the effect of rotation

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