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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Numerical simulation studies of the planar entry flow of polymer melts
S.A. White,Donald G. Baird +1 more
TL;DR: In this paper, the numerical simulation of planar entry flow using a penalty finite element method and the comparison of predictions with flow visualization and birefringence data for two polymer melts was conducted.
Journal ArticleDOI
Derivation of dispersion coefficient in an electro-osmotic flow of a viscoelastic fluid through a porous-walled microchannel
TL;DR: In this article, an analytical expression for the dispersion coefficient in an electro-osmotic flow of a viscoelastic fluid (which obeys the simplified Phan-Thien-Tanner rheological model) through a porous-walled microchannel is theoretically developed.
Journal ArticleDOI
Review on tube model based constitutive equations for polydisperse linear and long-chain branched polymer melts
TL;DR: In this paper, a concise review of tube model based constitutive equations developed in the last 40 years since the original publication of Doi and Edwards in 1978 is presented, focusing on the concepts, assumptions, and material parameters introduced to model nonlinear viscoelasticity of polydisperse linear and long-chain branched polymer melts.
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Forced convection heat transfer of Couette–Poiseuille flow of nonlinear viscoelastic fluids between parallel plates
TL;DR: In this paper, an analytical solution was obtained to predict the fully developed, steady and laminar heat transfer of viscoelastic fluids between parallel plates using the simplified Phan-Thien-Tanner (SPTT) model.
Journal ArticleDOI
Flow characteristics of viscoelastic fluids in an abrupt contraction by using numerical modeling
Pierre Saramito,J.M. Piau +1 more
TL;DR: In this article, the influence of elongational properties on flow characteristics in the case of shear-thinning highly elastic fluids in an abrupt contraction is considered. And a new dimensionless number is proposed to take into account elongation properties.
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.