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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Velocity overshoots in gradual contraction flows
Robert J. Poole,Manuel A. Alves +1 more
TL;DR: In this article, the results of a systematic numerical investigation, using the upper-convected Maxwell (UCM) and Phan-Thien-Tanner (PTT) models, of viscoelastic fluid flow through three-dimensional gradual planar contractions of various contraction ratios with the aim of investigating experimental observations of extremely large near-wall velocity overshoots in similar geometries were reported.
Journal ArticleDOI
Steady flow and heat transfer analysis of Phan-Thein-Tanner fluid in double-layer optical fiber coating analysis with Slip Conditions.
TL;DR: It is shown that an increase in the non-Newtonian parameters increase the velocity in the absence or presence of slip parameters which coincides with related work.
Journal ArticleDOI
Thermodiffusive effect on the local Debye-length in an electroosmotic flow of a viscoelastic fluid in a slit microchannel
A. Bautista Hernández,J. Arcos,José Fco. Martínez-Trinidad,Oscar Bautista,S. Sánchez,F. Méndez +5 more
TL;DR: In this paper , the influence of the thermodiffusive effect on the local Debye length thickness in a purely electroosmotic flow in a parallel flat plate microchannel was theoretically studied.
Journal ArticleDOI
Numerical investigation of die geometry effect on LDPE annular extrudate swell
TL;DR: In this paper, the effect of die geometry on the annular extrudate swell and on the polymer flow patterns are discussed in detail, and a penalty method is employed to solve the extruder swell problem with a decoupled algorithm.
Journal ArticleDOI
A non-affine network model for polymer melts
TL;DR: In this paper, a network model of polymer melts is proposed in which junction points follow particle paths as seen by an observer rotating at the fluid element's net rigid-rotation rate, and a constitutive equation based on this finitely extensible network strand motion is developed.
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.