Constitutive Equations for Magnetic Active Liquids

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dc.contributor.authorFialová, Simonacs
dc.contributor.authorPochylý, Františekcs
dc.coverage.issue10cs
dc.coverage.volume13cs
dc.date.accessioned2021-11-12T22:56:38Z
dc.date.available2021-11-12T22:56:38Z
dc.date.issued2021-10-11cs
dc.description.abstractThis article is focused on the derivation of constitutive equations for magnetic liquids. The results can be used for both ferromagnetic and magnetorheological fluids after the introduced simplifications. The formulation of constitutive equations is based on two approaches. The intuitive approach is based on experimental experience of non-Newtonian fluids, which exhibit a generally non-linear dependence of mechanical stress on shear rate; this is consistent with experimental experience with magnetic liquids. In these general equations, it is necessary to determine the viscosity of a liquid as a function of magnetic induction; however, these equations only apply to the symmetric stress tensor and can only be used for an incompressible fluid. As a result of this limitation, in the next part of the work, this approach is extended by the asymmetry of the stress tensor, depending on the angular velocity tensor. All constitutive equations are formulated in Cartesian coordinates in 3D space. The second approach to determining constitutive equations is more general: it takes the basis of non-equilibrium thermodynamics and is based on the physical approach, using the definition of density of the entropy production. The production of entropy is expressed by irreversible thermodynamic flows, which are caused by the effect of generalized thermodynamic forces after disturbance of the thermodynamic equilibrium. The dependence between fluxes and forces determines the constitutive equations between stress tensors, depending on the strain rate tensor and the magnetization vector, which depends on the intensity of the magnetic field. Their interdependencies are described in this article on the basis of the Curie principle and on the Onsager conditions of symmetry.</p>en
dc.formattextcs
dc.format.extent1910-1910cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationSymmetry. 2021, vol. 13, issue 10, p. 1910-1910.en
dc.identifier.doi10.3390/sym13101910cs
dc.identifier.issn2073-8994cs
dc.identifier.other173078cs
dc.identifier.urihttp://hdl.handle.net/11012/202256
dc.language.isoencs
dc.publisherMDPIcs
dc.relation.ispartofSymmetrycs
dc.relation.urihttps://www.mdpi.com/2073-8994/13/10/1910cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2073-8994/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectconstitutive equationsen
dc.subjectmagnetic liquiden
dc.subjectferromagnetic liquiden
dc.subjectmagnetorheological liquiden
dc.subjectmagnetic inductionen
dc.subjectviscosityen
dc.subjectshear stressen
dc.subjectshear rateen
dc.titleConstitutive Equations for Magnetic Active Liquidsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-173078en
sync.item.dbtypeVAVen
sync.item.insts2022.02.07 12:54:57en
sync.item.modts2022.02.07 12:14:49en
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Energetický ústavcs
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