In this paper, linear theory of magnetic fluid sloshing in a rectangular tank subjected to an external oblique magnetic field was studied. Historic of subject as well his importance for fluid mechanics, technology and industrial applications. Magnetic fluid was considered perfect, incompressible and irrotational. Surface tension, gravity and magnetic permeability were taken into account. Linear equations are solved with linear boundary conditions. In the framework of the linear theory, variable separation method makes it possible to construct solutions and obtain eigenfrequencies and the eigen modes. The linear theory is still valid for a very small amplitude of sloshing. The direction and amplitude effects of the external oblique magnetic field on the free surface evolution were analyzed and main results were synthesized. The stability criteria are discussed theoretically and graphically illustrated.
{"title":"Effect of an Oblique Magnetic Field Applied to the Sloshing of Free Surface Waves in the Magnetic Fluid","authors":"Rabah Djeghiour, Bachir Meziani, O. Ourrad","doi":"10.2139/ssrn.3376044","DOIUrl":"https://doi.org/10.2139/ssrn.3376044","url":null,"abstract":"In this paper, linear theory of magnetic fluid sloshing in a rectangular tank subjected to an external oblique magnetic field was studied. Historic of subject as well his importance for fluid mechanics, technology and industrial applications. Magnetic fluid was considered perfect, incompressible and irrotational. Surface tension, gravity and magnetic permeability were taken into account. Linear equations are solved with linear boundary conditions. In the framework of the linear theory, variable separation method makes it possible to construct solutions and obtain eigenfrequencies and the eigen modes. The linear theory is still valid for a very small amplitude of sloshing. The direction and amplitude effects of the external oblique magnetic field on the free surface evolution were analyzed and main results were synthesized. The stability criteria are discussed theoretically and graphically illustrated.","PeriodicalId":314204,"journal":{"name":"2nd National Conference on Computational Fluid Dynamics & Technology (CFD & Tech) 2018 (Archive)","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132414734","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Asma Ouahouah, S. Kherroubi, N. Labsi, Y. K. Benkahla
In the present work, laminar mixed convection of TiO2-Water nanofluid around a hot obstacle in a square cavity with moving vertical walls is studied numerically. The objective of this study is to analyze the effect of the Richardson number (0 ≼Ri≼ 10), Reynolds number (50 ≼ Re ≼ 500) and the nanoparticles volume fraction (0% ≼φ≼ 5%) on both hydrodynamic and thermal characteristics around a hot obstacle in the enclosure. The analysis of the obtained results shows that the heat transfer is enhanced for high values of Richardson and Reynolds numbers. In addition, the volume fraction of nanoparticles has a significant effect on the heat transfer within the cavity.
{"title":"Mixed Convection in a Square Cavity with Anisothermally Heated Square Blockage and Filled with a Nanofluid","authors":"Asma Ouahouah, S. Kherroubi, N. Labsi, Y. K. Benkahla","doi":"10.2139/ssrn.3372316","DOIUrl":"https://doi.org/10.2139/ssrn.3372316","url":null,"abstract":"In the present work, laminar mixed convection of TiO2-Water nanofluid around a hot obstacle in a square cavity with moving vertical walls is studied numerically. The objective of this study is to analyze the effect of the Richardson number (0 ≼Ri≼ 10), Reynolds number (50 ≼ Re ≼ 500) and the nanoparticles volume fraction (0% ≼φ≼ 5%) on both hydrodynamic and thermal characteristics around a hot obstacle in the enclosure. The analysis of the obtained results shows that the heat transfer is enhanced for high values of Richardson and Reynolds numbers. In addition, the volume fraction of nanoparticles has a significant effect on the heat transfer within the cavity.","PeriodicalId":314204,"journal":{"name":"2nd National Conference on Computational Fluid Dynamics & Technology (CFD & Tech) 2018 (Archive)","volume":"123 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127045319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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