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Main Title: Flow Velocity and Effective Viscosity of a Fluid Containing Rigid Cylindrical Inclusions
Author(s): Hess, Siegfried
Type: Article
Language Code: en
Abstract: The 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.
Issue Date: 2005
Date Available: 15-Oct-2018
DDC Class: 530 Physik
Subject(s): effective viscosity
dispersion rheology
rigid inclusion
Journal Title: Zeitschrift für Naturforschung A
Publisher: De Gruyter
Publisher Place: Berlin
Volume: 60
Issue: 6
Publisher DOI: 10.1515/zna-2005-0602
Page Start: 401
Page End: 407
EISSN: 1865-7109
ISSN: 0932-0784
Appears in Collections:Inst. Theoretische Physik » Publications

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