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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From micro to macro dynamics via a new closure approximation to the fene model of polymeric fluids
TL;DR: A new closure approximation needed for deriving effective macroscopic moment equations from the microscopic finite-extensible-nonlinear-elastic kinetic theory modeling viscoelastic polymeric fluids is presented.
Polymer solution characterization with the FENE-P model
B. Purnode,Marcel Crochet +1 more
TL;DR: In this paper, the FENE-P constitutive model is used for describing the rheological properties of polyacrylamide solutions in shear and extensional hows.
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Boundary layer analysis of the Phan-Thien-Tanner and Giesekus model in high Weissenberg number flow
Thomas Hagen,Michael Renardy +1 more
TL;DR: The boundary layer equations for the Phan-Thien-Tanner (PTT) fluid and the Giesekus fluid in two-dimensional creeping flow along a flat boundary for high Weissenberg numbers W were derived in this paper.
Journal ArticleDOI
Modeling the rheology of thixotropic elasto-visco-plastic materials
Stylianos Varchanis,G. Makrigiorgos,Pantelis Moschopoulos,Yannis Dimakopoulos,John Tsamopoulos +4 more
TL;DR: In this article, a tensorial constitutive model was proposed for EVP materials with thixotropy, extending the ideas of isotropic hardening, and with kinematic hardening (KH) to account for back stresses.
Purely-elastic flow asymmetries in flow-focusing devices
TL;DR: In this article, the flow of a viscoelastic fluid through a microfluidic flow-focusing device is investigated numerically with a finite-volume code using the upper-convected Maxwell (UCM) and Phan-Thien-Tanner (PTT) models.
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.