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Macroscopic quantities of dilute non-brownian : magnetic suspensions in a shear flow

Autor(es): dc.contributorCunha, Francisco Ricardo da-
Autor(es): dc.creatorRoure Neto, Gesse Arantes de-
Data de aceite: dc.date.accessioned2021-10-14T18:26:48Z-
Data de disponibilização: dc.date.available2021-10-14T18:26:48Z-
Data de envio: dc.date.issued2018-10-18-
Data de envio: dc.date.issued2018-10-18-
Data de envio: dc.date.issued2018-10-18-
Data de envio: dc.date.issued2018-05-17-
Fonte completa do material: dc.identifierhttp://repositorio.unb.br/handle/10482/32824-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/631858-
Descrição: dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq).-
Descrição: dc.descriptionIn recent years, many applications of magnetic suspensions were found in engineering, medical sciences, and other areas. These applications are mainly due to the fact that the rheological properties of these suspensions change in the presence of an external magnetic field. In this dissertation, we investigate the dynamics of two identical spherical magnetic particles undergoing a simple shear flow in the presence of magnetic and hydrodynamic interactions in order to analyze macroscopic quantities of magnetic suspensions in a regime out of equilibrium. Some particularities of the dynamical problem are investigated, including the interplay between aggregative and dispersive collisional trajectories. In addition, we perform a numerical computation of the hydrodynamic self-diffusivity, down-gradient diffusivity and the rate of particle doublet formation resulting from aggregative closed trajectories. The numerical computation of the diffusivities and aggregation rates is performed via a Monte-Carlo integration for different values of the magnetic interaction parameter $\alpha$, which represents the non-dimensional strength of the dipole-dipole magnetic interactions. We compare the results found for the diffusivities and doublet formation rates with theoretical predictions. Finally, we explore the problem of magnetization of magnetic suspensions undergoing a simple shear flow for large values of Péclet number in the presence of an external magnetic field. Starting with the problem of an isolated magnetic particle in suspension, we can obtain the first order of magnetization by analyzing the orientational dynamics of the particle. Further, we use the numerical simulation of two particles for obtaining numerical values for the second-order steady-state magnetization.-
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Palavras-chave: dc.subjectSuspensões magnéticas-
Palavras-chave: dc.subjectInterações hidrodinâmicas-
Palavras-chave: dc.subjectDifusão mecânica-
Palavras-chave: dc.subjectCisalhamento-
Título: dc.titleMacroscopic quantities of dilute non-brownian : magnetic suspensions in a shear flow-
Tipo de arquivo: dc.typelivro digital-
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