Particle Motions in Sheared Suspensions: Xvi. Orientations of Rods and Disks in Hyperbolic and Other Flows

Chaffey, Charles E.; Takano, Masatoshi; Mason, S. G.

doi:10.1139/p65-122

Cited by 26 publications

(1 citation statement)

References 9 publications

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“…To describe the particle rotation, a spherical coordinate system with spherical angles 0 and 0 can conveniently be used as shown in Figure 2. If an ellipsoid of revolution with principal semi-axes b1 and b2 = b3 is taken, then the rate change of these spherical angles (ø and 0), which completely describes the three-dimensional particle rotation, can be expressed as [61] Integration of Equation (29) shows that the rotation is periodic, and the period of rotation can be easily seen as:…”

Section: Jeffery's Modelmentioning

confidence: 99%

A Review of Fiber-Reinforced Injection Molding: Flow Kinematics and Particle Orientation

Altan

1990

Journal of Thermoplastic Composite Materials

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The existing flow and particle orientation models applicable to fiberreinforced injection molding are reviewed. After a brief description of injection molding, previous studies on the flow kinematics and fiber reinforcement are presented. Basics of Hele-Shaw flows are described Including the commonly used viscosity models and fountain flow effects. Some of the existing models for particle orientation are analyzed with particular emphasis on the amsotropic description of the material system. Concentration regions for short fiber suspensions are defined and relevant constitutive equations are discussed. A few example solutions are also given which describe the three-dimensional orientation field for the filling of a sudden expansion cavity, depicting skin-core orientation structure.

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Section: Jeffery's Modelmentioning

confidence: 99%

A Review of Fiber-Reinforced Injection Molding: Flow Kinematics and Particle Orientation

Altan

1990

Journal of Thermoplastic Composite Materials

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Time dependent rheology of artificial slurries

Brown

Pinder

1971

Can J Chem Eng

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Gels, formed by suspending cellulose acetate particles of regular shape and size in a Newtonian medium, were sheared in a rotational viscometer to study their time dependent rheological behavior. Qualitative observations of the effect of the well defined particle parameters, shape surface area and concentration on the flow parameters were made.The viscosity decay behavior fitted the model previously proposed by Pinder for slurries of natural particles.By considering the effect of the weighting salt used in the suspending medium, it was found that the theory that ionic forces are active in stabilizing the thixotropic gel structure was supported.reundlich and Juliusberger") first defined thixotro-F py as 'the reversible isothermal gel/sol/gel transformations induced by shear and subsequent rest'. The present day accepted definition is by Alves, Boucher and Pigford (2), 'The Thixotropic fluids possess a structure the breakdown of which is a function of time as well as the rate of shear. This structure can rebuild itself if not prevented from doing so by externally applied forces.'There is still considerable disagreement in the literature whether the time decreasing behavior of viscosity should be further classified as false body and thixotropic. In this work this classification has been found useful. These two terms shall therefore be used as follows:Thixotropic dispersions decay with shear to an equilibrium state which is Newtonian, independent of shear rate.False body dispersions decay to an equilibrium state which is pseudoplastic, the viscosity decreases with shear rate.Measurement of the time dependent properties of dispersions is generally carried out using a rotating concentric cylinder type viscometerca-lP'. A good review of the measurement techniques and their limitations has been made by Bauer and Collins"".Over the last half century there has been an increasing awareness of time dependent flow systems. They confronted industry initially as a problem to be overcome or avoided, but as data have been gathered, increasing use has been made of the property of time dependen~y"~).The reversible nature of the time dependent behavior has been explained by a number of authors in terns of a breaking down and subsequent rebuilding of some form of structure. Kistler(*5) postulated the existence of cybotactic complexes in liquids. A random mesh theory of gel structure was proposed by Brough-000000000000000000000000000000000000000000000000000000000000~0000000000000 1 Present addreas: Imperial Chemicals Limited, England.On a soumis A une action de cisaillement, dans un viscos i m h e rotatif, des gels form& par suspension dans un milieu newtonien de particules d'acfitate de cellulose de formes et dimensions rkgulihes; le but ktait d'ktudier leur comportement rhkologique avec le temps. On a fait des observations qualitatives sur l'effet qu'exercent des paradtres bien dkfinis des particules, B savoir la forme, la surface et la concentration, sur les parametres d'kcoulement. La diminution de viscositd concorde bicn avec les...

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Oriented short glass‐fiber composites. II. Analysis of parameters controlling the fiber/glycerine orientation process

Kacir¹,

Narkis

Ishai

1975

Polymer Engineering & Sci

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Nine parameters related to the fibedglycerine orientation process are analyzed. These parameters can be divided into machine, material and processing variables. The effect of each parameter on the cumulative percent of oriented fibers within specified angle limits (+-lo deg) is discussed. Similar effects were found on an accumulative exponential function which is represented by a single empirical constant. Five parameters are shown to have major effects on the alignment which can be achieved in the mats. These parameters include: temperature of the fibedglycerine dispersion, pressure head on the dispersion and three geometrical variables of the orientation machine.

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Particle Motions in Sheared Suspensions: Xvi. Orientations of Rods and Disks in Hyperbolic and Other Flows

Cited by 26 publications

References 9 publications

A Review of Fiber-Reinforced Injection Molding: Flow Kinematics and Particle Orientation

A Review of Fiber-Reinforced Injection Molding: Flow Kinematics and Particle Orientation

Time dependent rheology of artificial slurries

Oriented short glass‐fiber composites. II. Analysis of parameters controlling the fiber/glycerine orientation process

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