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
Finite Amplitude Stability of Internal Steady Flows of the Giesekus Viscoelastic Rate-Type Fluid
TL;DR: In this article, a Lyapunov type functional constructed on the basis of thermodynamical arguments was used to investigate the finite amplitude stability of internal steady flows of viscoelastic fluids described by the Giesekus model.
Journal ArticleDOI
Generalized network type constitutive equations
C.F. Chan Man Fong,D. De Kee +1 more
TL;DR: In this paper, the Coulombic force is added to the second invariant of the rate-of-deformation tensor to predict the viscosity and the normal stress difference in viscometric flow.
Book ChapterDOI
Sensitivity of the Stability of Isothermal Melt Spinning to Rheological Constitutive Assumptions
Jing-Chung Chang,Morton M. Denn +1 more
TL;DR: In this paper, Petrie and Denn showed that the critical draw ratio is predicted to decrease as the viscosity function becomes more shear thinning and to increase with increasing elasticity (increasing relaxation time or decreasing modulus).
Journal ArticleDOI
On the scalability of parallel computations on a network of workstations
Hua-Shu Dou,Nhan Phan-Thien +1 more
TL;DR: This paper will discuss the parallel strategies for DD technique, the load balancing, and the communication issue among the processors, and explain the mechanism of the limit, and search for the way to enhance the speed up and the scalability.
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.