Flow Velocity and Effective Viscosity of a Fluid Containing Rigid Cylindrical Inclusions

dc.contributor.authorHess, Siegfried
dc.date.accessioned2018-10-15T11:11:17Z
dc.date.available2018-10-15T11:11:17Z
dc.date.issued2005
dc.description.abstractThe determination of the flow properties of a fluid containing a cylindrical inclusion with its long axis oriented parallel to the vorticity direction is a 2-dimensional problem which is treated as a special case in a calculation of the corresponding D-dimensional problem. The velocity and pressure are obtained from the solution of the equations of hydrodynamics where D-dimensional multipole potential tensors are used. The effective viscosity of a dilute suspension is evaluted via the entropy production, as suggested by Einstein, and via an effective stress tensor. The relative change of the viscosity is proportional to the volume fraction. For D = 2 the proportionality factor Z is found to be 2 and 3 when the inclusion rotates with an angular velocity equal to the vorticity and when the inclusion does not rotate, repectively. The corresponding results for D=3 are the well known number Z = 2.5 and Z = 4.en
dc.identifier.eissn1865-7109
dc.identifier.issn0932-0784
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/8345
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-7497
dc.language.isoen
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/
dc.subject.ddc530 Physikde
dc.subject.othereffective viscosityen
dc.subject.otherdispersion rheologyen
dc.subject.otherrigid inclusionen
dc.titleFlow Velocity and Effective Viscosity of a Fluid Containing Rigid Cylindrical Inclusionsen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.doi10.1515/zna-2005-0602
dcterms.bibliographicCitation.issue6
dcterms.bibliographicCitation.journaltitleZeitschrift für Naturforschung Ade
dcterms.bibliographicCitation.originalpublishernameDe Gruyteren
dcterms.bibliographicCitation.originalpublisherplaceBerlinen
dcterms.bibliographicCitation.pageend407
dcterms.bibliographicCitation.pagestart401
dcterms.bibliographicCitation.volume60
tub.accessrights.dnbfree
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Theoretische Physikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Theoretische Physikde
tub.publisher.universityorinstitutionTechnische Universität Berlinde

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