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
Journal ArticleDOI
Matching time dependent pressure driven flows with a Rolie Poly numerical simulation
TL;DR: In this article, a matching numerical simulation was developed using a Rolie Poly constitutive equation with the additional factor of compressibility included for a linear low density polyethylene (LLDPE) melt flowing within an entry and exit slit geometry.
Journal ArticleDOI
Dispersion coefficient in an electro-osmotic flow of a viscoelastic fluid through a microchannel with a slowly varying wall zeta potential
TL;DR: In this article, the dispersion coefficient of a passive solute in a steady-state pure electro-osmotic flow (EOF) of a viscoelastic liquid, whose rheological behavior follows the simplified Phan-Thien-Tanner (sPTT) model, along a parallel flat plate microchannel, is studied.
Book ChapterDOI
Computational Challenges for Simulating Strongly Elastic Flows in Biology
Robert D. Guy,Becca Thomases +1 more
TL;DR: The immersed boundary method is used to simulate an undulatory swimmer in a viscoelastic fluid using a data-based model for the prescribed shape and focuses on implicit-time methods because the large elastic stresses in complex fluids necessitate high spatial resolution and long time simulations.
Journal ArticleDOI
Fully-developed pipe and planar flows of multimode viscoelastic fluids
TL;DR: In this article, two solutions for fully-developed pipe and planar flows of multimode viscoelastic models are presented for the PTTT model with a linear stress coefficient and the FENE-P model.
Journal ArticleDOI
A review of the second normal-stress difference; its importance in various flows, measurement techniques, results for various complex fluids and theoretical predictions
Osama Maklad,Robert J. Poole +1 more
TL;DR: In this paper, the second normal-stress difference (N2) is defined as the variation with shear rate of the shear viscosity and the so-called first and second normal stress differences.
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.