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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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Influence of an induced magnetic field on peristaltic transport in an asymmetric channel
TL;DR: In this article, the effects of an induced magnetic field on the peristaltic transport of a Phan-Thien-Tanner (PTT) fluid in an asymmetric channel were investigated.
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Continuum Mechanics Modeling of Complex Fluid Systems Following Oldroyd's Seminal 1950 Work
TL;DR: A review of some key developments in the continuum mechanics based macroscopic modeling of complex fluid flows, following the pioneering work of Oldroyd in the 1950s, can be found in this article.
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Dissipative behaviour of viscoelastic fluids derived from rheological constitutive equations
H. Braun,Chr. Friedrich +1 more
TL;DR: In this paper, the dissipative source term in the temperature equation for non-isothermal flows of viscoelastic fluids was investigated for two special cases: pure entropic and (internal) energy elasticity.
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Numerical simulations of polymer flow in flat spiral dies
TL;DR: In this article, the flow of a polymer melt through a flat spiral distribution system used in stacked type dies was analyzed through three-dimensional finite element simulations, and predictions of the exit flow variation were compared to experimental measurements.
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Numerical Haemodynamics in the Human Heart
TL;DR: In this article, a comparison of the Eulersche and Lagrangesche Herzmodels is presented, in which each of them verglichen ein vereinfachtes ebenes Klappenmodel innerhalb eines vereinachten Ventrikels verging.
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.