Journal ArticleDOI
A new constitutive equation derived from network theory
Nhan Phan Thien,Roger I. Tanner +1 more
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TLDR
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
Decoupled algorithm for solving Phan-Thien-Tanner viscoelastic fluid by finite element method
Shaoling Zhou,Lei Hou +1 more
TL;DR: A decoupled algorithm for the viscoelastic fluid flow obeying the Phan-Thien-Tanner (PTT) differential model is presented and it is shown that the mapping of the decoupling algorithm is locally contracting.
Dissertation
Modélisation et étude numérique de quelques écoulements de fluides complexes en micro-fluidique
TL;DR: In this paper, the authors consider the role exact of the diffusion of fluides in 2D and 2.5D models of micro-fluidic systems, and propose a reduction of the modele to a modele reduit of type Reynolds.
Journal ArticleDOI
Effect of gas flow rate on the double gas-assisted extrusion forming of plastic pipes
Zhong Ren,Xingyuan Huang +1 more
TL;DR: In this paper, the effect of gas flow rate on the double gas-assisted extrusion forming of the plastic pipes, the numerical simulations based on the finite element method were performed, which showed that with the increase of the gases flow rate, the inner radius increases and the outer radius decreases, which lead to decrease the wall thickness of plastic pipes.
Journal ArticleDOI
Parallelized FVM algorithm for three-dimensional viscoelastic flows
Hua-Shu Dou,Nhan Phan-Thien +1 more
TL;DR: 3D parallelized algorithm has a lower efficiency owing to largely overlapped block interfaces, but the parallel algorithm is indeed a powerful means for large scale flow simulations.
Journal ArticleDOI
Interplay Between Inertia and Elasticity in Film Casting
Radoslav German,Roger E. Khayat +1 more
TL;DR: In this paper, the influence of inertia and boundary conditions on the steady state and stability of isothermal film casting of viscoelastic fluids is examined using a Phan-Thien-Tanner rheological model.
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.