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
Kinematic waves and draw resonance in film casting process
TL;DR: In this article, the same mechanism and criterion govern the draw resonance in film casting as in spinning, but at the same time some differences also have emerged, particularly, the nonlinear dynamics of the film width whose counterpart does not exist in spinning has been found quite complex and also very sensitive to process parameters like fluid viscoelasticity and the aspect ratio of the casting equipment.
Journal ArticleDOI
Microscopic modelling of the flow properties of polymers
TL;DR: In this paper, the basic principles of some important models are discussed: continuum, bead-rod-spring, transient network, reptation and configuration tensor models, with a consistent treatment of the fundamentals of the various models and their interrelationship.
Journal ArticleDOI
Rheological characterisation of a high-density polyethylene with a multi-mode differential viscoelastic model and numerical simulation of transient elongational recovery experiments
F. Langouche,B. Debbaut +1 more
TL;DR: In this article, the storage and loss moduli, shear viscosity and the transient uniaxial elongational viscoity of polyethylene were measured with the Meissner extensional rheometer.
Book ChapterDOI
Polymer Fluid Mechanics
TL;DR: In this paper, the authors provide an overview of the development in the mechanics of viscoelastic fluids, as typified by polymeric liquids, and discuss some of the most ubiquitous examples of non-Newtonian fluids.
Journal ArticleDOI
Towards the minimization of thermodynamic irreversibility in an electrically actuated microflow of a viscoelastic fluid under electrical double layer phenomenon
TL;DR: In this article, the entropy generation minimization for electro-osmotic flow of a viscoelastic fluid through a parallel plate microchannel under the combined influences of interfacial slip and conjugate transport of heat was discussed.
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.