Effects of an Axial Magnetic Field on Vortex Breakdown and Fluid Layer

The effects of an axial magnetic field on both the vortex breakdown process and fluid layers development in a cylindrical container ﬁlled with a conducting viscous fluid are numerically analyzed by using the Generalized Integral Transform Technique (GITT) with a stream function-only formulation. A t...

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Autor principal:	B. Mahfoud
Formato:	article
Lenguaje:	EN
Publicado:	Isfahan University of Technology 2021
Materias:	fluid layers; integral transforms; magnetic field; swirling flow; vortex breakdown. Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/d089669fb3854a69b8fa917137e53a3e
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id	oai:doaj.org-article:d089669fb3854a69b8fa917137e53a3e
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spelling	oai:doaj.org-article:d089669fb3854a69b8fa917137e53a3e2021-11-13T07:03:04ZEffects of an Axial Magnetic Field on Vortex Breakdown and Fluid Layer1735-3572https://doaj.org/article/d089669fb3854a69b8fa917137e53a3e2021-01-01T00:00:00Zhttp://jafmonline.net/JournalArchive/download?file_ID=57000&issue_ID=1015https://doaj.org/toc/1735-3572The effects of an axial magnetic field on both the vortex breakdown process and fluid layers development in a cylindrical container ﬁlled with a conducting viscous fluid are numerically analyzed by using the Generalized Integral Transform Technique (GITT) with a stream function-only formulation. A temperature gradient is imposed in the axial direction on the swirling flow which is advanced by the rotation of the bottom disk under the stabilizing effect of the external magnetic field. Flows are studied for a range of parameters: the Richardson number, Ri, 0 ≤Ri ≤2.0; and three values of the Prandtl number are investigated, Pr = 0.025 (liquid Mercury), 0.032 ( PbLi 17 alloy), and 0.065 (the molten lithium). Three combinations of aspect ratios (H/R) and Reynolds numbers are compared: (case A: Re=1500, H/R=1.5); (case B: Re=1855, H/R=2.0) and (case C: Re=2400, H/R=2.5). The results reveal that the increase in the values of Hartmann number, Ha suppresses the vortex breakdown in the isothermal case and reduces the number of fluid layers in the layering case. The stability diagram (Hacr–Ri) corresponding to the transition from the multiple fluid layers zone to the one fluid layer zone for increasing Prandtl number is obtained‎.B. MahfoudIsfahan University of Technology articlefluid layers; integral transforms; magnetic field; swirling flow; vortex breakdown.Mechanical engineering and machineryTJ1-1570ENJournal of Applied Fluid Mechanics, Vol 14, Iss 6, Pp 1741-1753 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	fluid layers; integral transforms; magnetic field; swirling flow; vortex breakdown. Mechanical engineering and machinery TJ1-1570
spellingShingle	fluid layers; integral transforms; magnetic field; swirling flow; vortex breakdown. Mechanical engineering and machinery TJ1-1570 B. Mahfoud Effects of an Axial Magnetic Field on Vortex Breakdown and Fluid Layer
description	The effects of an axial magnetic field on both the vortex breakdown process and fluid layers development in a cylindrical container ﬁlled with a conducting viscous fluid are numerically analyzed by using the Generalized Integral Transform Technique (GITT) with a stream function-only formulation. A temperature gradient is imposed in the axial direction on the swirling flow which is advanced by the rotation of the bottom disk under the stabilizing effect of the external magnetic field. Flows are studied for a range of parameters: the Richardson number, Ri, 0 ≤Ri ≤2.0; and three values of the Prandtl number are investigated, Pr = 0.025 (liquid Mercury), 0.032 ( PbLi 17 alloy), and 0.065 (the molten lithium). Three combinations of aspect ratios (H/R) and Reynolds numbers are compared: (case A: Re=1500, H/R=1.5); (case B: Re=1855, H/R=2.0) and (case C: Re=2400, H/R=2.5). The results reveal that the increase in the values of Hartmann number, Ha suppresses the vortex breakdown in the isothermal case and reduces the number of fluid layers in the layering case. The stability diagram (Hacr–Ri) corresponding to the transition from the multiple fluid layers zone to the one fluid layer zone for increasing Prandtl number is obtained‎.
format	article
author	B. Mahfoud
author_facet	B. Mahfoud
author_sort	B. Mahfoud
title	Effects of an Axial Magnetic Field on Vortex Breakdown and Fluid Layer
title_short	Effects of an Axial Magnetic Field on Vortex Breakdown and Fluid Layer
title_full	Effects of an Axial Magnetic Field on Vortex Breakdown and Fluid Layer
title_fullStr	Effects of an Axial Magnetic Field on Vortex Breakdown and Fluid Layer
title_full_unstemmed	Effects of an Axial Magnetic Field on Vortex Breakdown and Fluid Layer
title_sort	effects of an axial magnetic field on vortex breakdown and fluid layer
publisher	Isfahan University of Technology
publishDate	2021
url	https://doaj.org/article/d089669fb3854a69b8fa917137e53a3e
work_keys_str_mv	AT bmahfoud effectsofanaxialmagneticfieldonvortexbreakdownandfluidlayer
_version_	1718430283128111104

Effects of an Axial Magnetic Field on Vortex Breakdown and Fluid Layer

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