Journal ArticleDOI
A new constitutive equation derived from network theory
Nhan Phan Thien,Roger I. Tanner +1 more
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In this paper, a constitutive equation is derived from a Lodge-Yamamoto type of network theory for polymeric fluids, where the network junctions are not assumed to move strictly as points of the continuum but allowed a certain "effective slip".Abstract:
A constitutive equation is derived from a Lodge—Yamamoto type of network theory for polymeric fluids. The network junctions are not assumed to move strictly as points of the continuum but allowed a certain “effective slip”. The rates of creation and destruction of junctions are assumed to depend on the instantaneous elastic energy of the network, or equivalently, the average extension of the network strand, in a simple manner. Agreement between model predictions and the I.U.P.A.C. data on L.D.P.E. is good.read more
Citations
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The rheology of polymer solution elastic strands in extensional flow
TL;DR: Micro-oscillatory cross-slot extensional flow to a semi-dilute poly(ethylene oxide) solution and micro-particle image velocimetry (μPIV) is used to investigate directly the stress and strain rates in the strand and so determine the true extensional viscosity of the localised strand alone.
Journal ArticleDOI
Numerical solution of the PTT constitutive equation for unsteady three-dimensional free surface flows
TL;DR: In this article, a Marker-and-Cell method is used to simulate three-dimensional viscoelastic free surface flows using the PTT (Phan-Thien-Tanner) nonlinear constitutive equation.
Journal ArticleDOI
State of the‐Art for Extrudate Swell of Molten Polymers: From Fundamental Understanding at Molecular Scale toward Optimal Die Design at Final Product Scale
TL;DR: In this paper, the impact and interplay of processing parameters, die geometry, macromolecular characteristics (e.g., molar mass distribution and branching level), and additive macroscopic properties is compared.
Journal ArticleDOI
Computer simulation of injection molding
Musa R. Kamal,P. G. Laflrur +1 more
TL;DR: In order to obtain meaningful solutions to the above equations, detailed information is required regarding the thermodynamic, thermal, and rheological properties of the resin, and the prediction of the microstructure and ultimate properties of a molded article requires a knowledge of the morphological, crystallization, and orientation phenomena that take place under the influence of the thermo-mechanical history experienced by the resin this paper.
Journal ArticleDOI
The sedimentation of a sphere through an elastic fluid Part 2. Transient motion
TL;DR: In this article, the authors compare time-dependent finite-element simulations and experimental observations for the transient benchmark problem of a sphere accelerating from rest in a cylindrical tube of viscoelastic fluid.
References
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Journal ArticleDOI
The Visco-elastic Properties of Network Structure I. General Formalism
TL;DR: In this article, the authors derived the stress-strain-time (S − S − T )relation at each instance of macroscopic observations by using the statistical mechanical considerations of equilibrium states.
Journal ArticleDOI
Constitutive equations from molecular network theories for polymer solutions
TL;DR: In this article, constitutive equations based on the network models of Yamamoto, Lodge, and Kaye are re-derived in a common notation involving the use of base vectors embedded in the deforming macroscopic continuum.
Journal ArticleDOI
Anisotropic Fluid Theory: A Different Approach to the Dumbbell Theory of Dilute Polymer Solutions
R. J. Gordon,W. R. Schowalter +1 more
TL;DR: In this paper, the authors used the continuum theory of anisotropic fluids, as developed by Ericksen and others, to formulate an expression for the time derivative of the end-to-end vector of a linear macromolecule when used in conjunction with the equation describing the distribution function for a dilute solution of dumbbell elements.