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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Journal ArticleDOI
Elongational behavior of amorphous polymers in the vicinity and above the glass transition temperature
Anthony Thévenon,René Fulchiron +1 more
TL;DR: In this paper, the authors studied the elongational behavior of amorphous polymer films (PS, PC and PET) depending on temperature and strain rates and determined the relaxation spectrum from frequency sweep tests using both melt state rheology and dynamic mechanical analysis.
Book ChapterDOI
A Numerical Method for Fluid Flows with Complex Free Surfaces
TL;DR: In this paper, a numerical method for the simulation of fluid flows with complex free surfaces is presented, where the liquid is assumed to be a Newtonian or a viscoelastic fluid.
Journal ArticleDOI
Global well-posedness for the Phan-Thein-Tanner model in critical Besov spaces without damping
Yuhui Chen,Wei Luo,Xiaoping Zhai +2 more
TL;DR: In this paper, the Cauchy problem for the Phan-Thein-Tanner (PTT) model in critical Besov space was investigated and the strong solution in critical-besov space is proved to be globally existed.
Posted Content
Pressure-driven flow of the viscoelastic Oldroyd-B fluid in narrow non-uniform geometries: analytical results and comparison with simulations
TL;DR: In this paper, the relationship between the velocity, stress, and pressure drop of a viscoelastic fluid in arbitrarily shaped, narrow channels was analyzed and a theoretical framework for calculating the relationship was presented.
Journal ArticleDOI
New simple analytical method for flow enhancement predictions of pulsatile flow of a structured fluid
E. E. Herrera-Valencia,M. L. Sanchez-Villavicencio,M. L. Sanchez-Villavicencio,Luis Medina-Torres,D.M. Núñez Ramírez,Vicente Jesús Hernández-Abad,Fausto Calderas,Octavio Manero +7 more
TL;DR: In this article, a simplified method to find the fluidity enhancement of a non-Newtonian liquid under a pulsating (time-dependent) pressure gradient is analyzed by means of a Taylor series expansion of the flow rate in the vicinity of the applied wall stress.
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.