Journal ArticleDOI
A new constitutive equation derived from network theory
Nhan Phan Thien,Roger I. Tanner +1 more
Reads0
Chats0
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
More filters
Macromolecular Nanotechnology Incorporation of hydrodynamic interaction forces to molecular statistical theory of temporary polymer networks in solution
TL;DR: In this paper, the dependence of viscometric functions on shear rate in stationary shear flow in temporary polymer networks has been investigated and a non-zero negative value of the second normal-stress difference is predicted.
Journal ArticleDOI
Review on melt flow simulations for thermoplastics and their fiber reinforced composites in fused deposition modeling
TL;DR: A comprehensive review of recent progress on the melt flow simulations of polymers and their fiber-reinforced composites in FDM can be found in this paper , where analytical and numerical methods for modeling the polymer melt flow in the extrusion and deposition are summarized and discussed.
Journal ArticleDOI
Effect of non-affine motion on the centrifugal instability of circular Couette flow
Ramin Jazmi,Kayvan Sadeghy +1 more
TL;DR: In this article, the effect of non-affine motion of the constituents in a complex fluid system (say, a polymeric liquid) is theoretically investigated on the centrifugal instability of circular Couette flow.
Book ChapterDOI
Flow of polymeric melts in channels with moving boundaries
TL;DR: In this article, a simulation of the flow of polymeric melts through a slit die with a boundary moving at a specified velocity, which is perpendicular to the direction of flow, is presented.
Journal ArticleDOI
On the similarities of the sPTT and FENE-P models for polymeric fluids
TL;DR: In this article , the authors compare the response of the linear form of the simplified Phan-Thien Tanner model and the Finitely Extensible Nonlinear Elastic model that follows the Peterlin approximation.
References
More filters
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.