Flow of viscoelastic fluids between plates rotating about distinct axes
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In this paper, the authors discuss the flow of BKZ fluids in an orthogonal rheometer and show a boundary layer behavior at high Reynolds numbers and the possibility of discontinuous solutions or nonexistence at high Weissenberg numbers.Abstract:
We discuss the flow of BKZ fluids in an orthogonal rheometer. Some analytical results are proved, and numerical solutions are obtained for the Currie model. These solutions show a boundary layer behavior at high Reynolds numbers and the possibility of discontinuous solutions or nonexistence at high Weissenberg numbers.read more
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Flow of viscoelastic fluids between rotating disks
TL;DR: In this article, the authors review the recent efforts that have been expended in the study of both symmetric and asymmetric solutions in the case of both the classical linearly viscous fluid and viscoelastic fluids.
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Flow of electro-rheological materials
TL;DR: In this article, the authors present a mathematical model for field dependent materials which is consistent with the phenomena which have been observed, such as the flow between parallel plates, Couette flow, and flow in an eccentric rotating disc device.
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Constant heat flux solution for mixed convection boundary layer viscoelastic fluid
TL;DR: In this article, the mixed convection boundary layer of a viscoelastic fluid past a circular cylinder with constant heat flux is discussed, and the boundary layer equations are an order higher than those for the Newtonian (viscous) fluid and the adherence boundary conditions are insufficient to determine the solution of these equations completely.
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Flow of granular materials between rotating disks
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Flow Characteristics of a ``Multiconfigurational'', Shear Thinning Viscoelastic Fluid with Particular Reference to the Orthogonal Rheometer
TL;DR: In this article, the authors deal with the flow characteristics of a class of nonsimple viscoelastic fluid models developed by Rajagopal and Srinivasa (1999), where the stress response is lastic from a changing natural configuration with viscous dissipation occurring due to changes in the natural state.
References
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Dynamics of concentrated polymer systems. Part 1.—Brownian motion in the equilibrium state
Masao Doi,Sam F. Edwards +1 more
TL;DR: In this paper, a mathematical model chain which describes the motion of the polymer in the fully entangled state is presented and its Brownian motion in equilibrium is studied, which shows much qualitatively different behaviour from that of the Rouse chain used in dilute solution theory.
Journal ArticleDOI
A Study of Stress Relaxation with Finite Strain
TL;DR: In this paper, two simple constitutive equations appropriate to materials exhibiting viscoelasticity are presented, one of a basic solid nature and one of basic fluid nature, and the predictions of the equations for a stress relaxation experiment are worked out.
Journal ArticleDOI
Constitutive equations for polymer melts predicted by the Doi—Edwards and Curtiss—Bird kinetic theory models
TL;DR: In this paper, the constitutive equations derived by Doi and Edwards and by Curtis and Bird from kinetic theory models are shown to possess a potential function U, which completely determines the strain-dependent memory fading.
Journal ArticleDOI
Rheometrical flow systems Part 2. Theory for the orthogonal rheometer, including an exact solution of the Navier-Stokes equations
T. N. G. Abbott,K. Walters +1 more
TL;DR: In this article, the flow of viscous and elastico-viscous liquids contained between two infinite parallel plates which rotate with the same angular velocity about axes normal to the plates but not coincident is considered.
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Studies of a Polymer Melt in an Orthogonal Rheometer
TL;DR: In this paper, a method has been developed for measuring three orthogonal forces in a polymer melt subjected to shear, and data are presented showing the relationship of these forces to the shear rate for linear polyethylene.
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