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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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A model with two coupled Maxwell modes
TL;DR: In this article, a new model involving two coupled Maxwell modes is developed as a generalization of the upper-convected Maxwell and the Giesekus models, which contains, in addition to the parameters inherent to a Maxwell model with two uncoupled modes, a dimensionless coupling coefficient θ that multiplies a quadratic coupling term.
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A new, convenient way of imposing open-flow boundary conditions in two- and three-dimensional viscoelastic flows
Xueying Xie,Matteo Pasquali +1 more
TL;DR: In this paper, the authors proposed a general way of imposing inflow boundary conditions based on solving the coupled algebraic equations of fully developed flow at the inflow, i.e., solving the equation F ( ∇ v, S ) − G ( S ) = 0 at the flow coupled with the flow inside the domain.
Journal ArticleDOI
Best fit for differential constitutive model parameters to non-linear oscillation data
TL;DR: In this paper, a non-linear, transient model parameters of nonlinear constitutive equations can be fitted objectively with large amplitude oscillatory shear flow by minimizing the function where σmJ is the stress amplitude of the jth harmonic of the experimentally measured shear stress response and σpJ is a function of the predicted stress.
Journal ArticleDOI
A three-field local projection stabilized formulation for computations of Oldroyd-B viscoelastic fluid flows
TL;DR: In this paper, a three-field formulation based on Local Projection Stabilization (LPS) is developed for computations of the coupled Navier-Stokes and Oldroyd-B viscoelastic constitutive equations at high Weissenberg numbers.
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Parallelisation of an unstructured finite volume code with PVM: viscoelastic flow around a cylinder
Hua-Shu Dou,Nhan Phan-Thien +1 more
TL;DR: A parallel implementation of an unstructured finite volume method dealing with viscoelastic flows on a distributed computing environment through Parallel Virtual Machine (PVM) is reported, found that the efficiency is strongly dependent on the grid size, the block number and the number of processors.
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.