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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 flow past a sphere in a cylindrical tube: effects of intertia, shear-thinning and elasticity
TL;DR: In this paper, numerical solutions for the flow past a sphere placed at the centreline of a cylindrical tube for Reynolds numbers ranging from 0 to 150, using a boundary element method, are presented.
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Theoretical modeling of microstructured liquids: a simple thermodynamic approach
Matteo Pasquali,L. E. Scriven +1 more
TL;DR: In this paper, a new method is presented for accounting for microstructural features of flowing complex fluids at the level of mesoscopic, or coarse-grained, models by ensuring compatibility with macroscopic and continuum thermodynamics and classical transport phenomena.
Journal ArticleDOI
Viscoplastic‐elastic modeling of tubular blown film processing
B. Cao,Gregory A. Campbell +1 more
TL;DR: In this paper, a new constitutive equation has been developed that, when incorporated into the kinematic and dynamic equations that describe the blown film process, for the first time yields qualitatively correct predictions of all process variables.
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Numerical simulation of bubble growth in viscoelastic fluid with diffusion of dissolved foaming agent
Yasuhiko Otsuki,Toshitaka Kanai +1 more
TL;DR: In this article, a multimode PTT model was used to analyze the dynamic growth behavior of spherically symmetric bubbles with the diffusion of a foaming agent (CO2), and the simulation results demonstrated that the strain-hardening characteristic of polymer does not strongly affect the bubble growth rate.
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Viscoelastic fluid analysis in internal and in free surface flows using the software OpenFOAM
TL;DR: This work presents some basic results that aims to validate a developed methodology for internal viscoelastic fluid flows, which was developed in a previous work in the OpenFOAM computational fluid dynamics package and also will be showed a extension of this methodology for analysis of free surface viscoELastic fluidflow flows, using the VOF methodology.
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.